CHAPTER 2 ORGANIZING AND GRAPHING DATA Prem Mann, Introductory Statistics, 8/E Copyright © 2013...

CHAPTER 2

ORGANIZING AND GRAPHING DATA

Prem Mann Introductory Statistics 8E Copyright copy 2013 John Wiley amp Sons All rights reserved

Opening Example


RAW DATA Definition Data recorded in the sequence in which they are collected

and before they are processed or ranked are called raw data


Table 21 Ages of 50 Students


Table 22 Status of 50 Students



Frequency Distributions Relative Frequency and Percentage Distributions Graphical Presentation of Qualitative Data


Table 23 Types of Employment Students Intend to Engage In


Frequency Distributions Definition A frequency distribution of a qualitative variable lists all

categories and the number of elements that belong to each of the categories


Example 2-1

A sample of 30 persons who often consume donuts were asked what variety of donuts was their favorite The responses from these 30 persons were as follows


Example 2-1

glazed filled other plain glazed other

frosted filled filled glazed other frosted

glazed plain other glazed glazed filled

frosted plain other other frosted filled

filled other frosted glazed glazed filled

Construct a frequency distribution table for these data


Example 2-1 SolutionTable 24 Frequency Distribution of Favorite Donut Variety


Relative Frequency and Percentage Distributions

Calculating Relative Frequency of a Category

sfrequencie all of Sum

category that ofFrequency category a offrequency lativeRe



Calculating Percentage Percentage = (Relative frequency) 100


Example 2-2 Determine the relative frequency and percentage for the

data in Table 24


Example 2-2 SolutionTable 25 Relative Frequency and Percentage Distributions of Favorite Donut Variety


Case Study 2-1 Will Todayrsquos Children Be Better Off Than Their Parents


Graphical Presentation of Qualitative Data

Definition A graph made of bars whose heights represent the

frequencies of respective categories is called a bar graph


Figure 21 Bar graph for the frequency distribution of Table 24


Case Study 2-2 Employeesrsquo Overall Financial Stress Levels


Graphical Presentation of Qualitative Data Definition A circle divided into portions that represent the relative

frequencies or percentages of a population or a sample belonging to different categories is called a pie chart


Table 26 Calculating Angle Sizes for the Pie Chart


Figure 22 Pie chart for the percentage distribution of Table 25


ORGANIZING AND GRAPHING QUANTITATIVE Frequency Distributions Constructing Frequency Distribution Tables Relative and Percentage Distributions Graphing Grouped Data


Table 27 Weekly Earnings of 100 Employees of a Company


Frequency Distributions Definition A frequency distribution for quantitative data lists all

the classes and the number of values that belong to each class Data presented in the form of a frequency distribution are called grouped data


Frequency Distributions Definition The class boundary is given by the midpoint of the upper

limit of one class and the lower limit of the next class


Frequency Distributions

Finding Class Width

Class width = Upper boundary ndash Lower boundary



Calculating Class Midpoint or Mark

2

limit Upper limit Lower markor midpoint Class


Constructing Frequency Distribution Tables

Calculation of Class Width

classes ofNumber

alueSmallest v - lueLargest va widthclass eApproximat


Table 28 Class Boundaries Class Widths and Class Midpoints for Table 27


Example 2-3

The following data give the total number of iPodsreg sold by a mail order company on each of 30 days Construct a frequency distribution table

8 25 11 15 29 22 10 5 17 21

22 13 26 16 18 12 9 26 20 16

23 14 19 23 20 16 27 16 21 14


Example 2-3 Solution

29 5Approximate width of each class 48

5

Now we round this approximate width to a convenient number say 5 The lower limit of the first class can be taken as 5 or any number less than 5 Suppose we take 5 as the lower limit of the first class Then our classes will be 5 ndash 9 10 ndash 14 15 ndash 19 20 ndash 24 and 25 ndash 29

The minimum value is 5 and the maximum value is 29 Suppose we decide to group these data using five classes of equal width Then


Table 29 Frequency Distribution for the Data on iPods Sold



Calculating Relative Frequency and Percentage

100 frequency) (Relative Percentage


class that of Frequencyclass a of frequency Relative

f

f


Example 2-4 Calculate the relative frequencies and percentages for

Table 29


Example 2-4 SolutionTable 210 Relative Frequency and Percentage Distributions for Table 29


Graphing Grouped Data Definition A histogram is a graph in which classes are marked on the

horizontal axis and the frequencies relative frequencies or percentages are marked on the vertical axis The frequencies relative frequencies or percentages are represented by the heights of the bars In a histogram the bars are drawn adjacent to each other


Figure 23 Frequency histogram for Table 29


Figure 24 Relative frequency histogram for Table 210


Case Study 2-3 How Long Does Your Typical One-Way Commute Take


Graphing Grouped Data Definition A graph formed by joining the midpoints of the tops of

successive bars in a histogram with straight lines is called a polygon


Figure 25 Frequency polygon for Table 29


Case Study 2-4 How Much Does it Cost to Insure a Car


Figure 26 Frequency distribution curve


Example 2-5 The percentage of the population working in the United

States peaked in 2000 but dropped to the lowest level in 30 years in 2010 Table 211 shows the percentage of the population working in each of the 50 states in 2010 These percentages exclude military personnel and self-employed persons (Source USA TODAY April 14 2011 Based on data from the US Census Bureau and US Bureau of Labor Statistics)


Example 2-5

Construct a frequency distribution table Calculate the relative frequencies and percentages for all classes



The minimum value in the data set of Table 211 is 367 and the maximum value is 558 Suppose we decide to group these data using six classes of equal width Then

We round this to a more convenient number say 3 We can take a lower limit of the first class equal to 367 or any number lower than 367 If we start the first class at 36 the classes will be written as 36 to less than 39 39 to less than 42 and so on

119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318


Table 212 Frequency Relative Frequency and Percentage Distributions of the Percentage of Population Workings


Example 2-6 The administration in a large city wanted to know the

distribution of vehicles owned by households in that city A sample of 40 randomly selected households from this city produced the following data on the number of vehicles owned

5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

Construct a frequency distribution table for these data using

single-valued classes


Example 2-6 SolutionTable 213 Frequency Distribution of Vehicles Owned

The observations assume only six distinct values 0 1 2 3 4 and 5 Each of these six values is used as a class in the frequency distribution in Table 213


Figure 27 Bar graph for Table 213


Case Study 2-5 How Many Cups of Coffee Do You Drink a Day


SHAPES OF HISTOGRAMS

1 Symmetric2 Skewed3 Uniform or Rectangular


Figure 28 Symmetric histograms


Figure 29 (a) A histogram skewed to the right (b) A histogram skewed to the left


Figure 210 A histogram with uniform distribution


Figure 211 (a) and (b) Symmetric frequency curves (c) Frequency curve skewed to the right (d) Frequency curve skewed to the left


CUMULATIVE FREQUENCY DISTRIBUTIONS

Definition A cumulative frequency distribution gives the total number

of values that fall below the upper boundary of each class


Example 2-7 Using the frequency distribution of Table 29 reproduced here

prepare a cumulative frequency distribution for the number of iPods sold by that company


Example 2-7 SolutionTable 214 Cumulative Frequency Distribution of iPods Sold



Calculating Cumulative Relative Frequency and Cumulative Percentage

100 frequency) relative e(Cumulativ percentage Cumulative

set data in the nsobservatio Total

class a offrequency Cumulativefrequency relative Cumulative


Table 215 Cumulative Relative Frequency and Cumulative Percentage Distributions for iPods Sold



Definition An ogive is a curve drawn for the cumulative frequency

distribution by joining with straight lines the dots marked above the upper boundaries of classes at heights equal to the cumulative frequencies of respective classes


Figure 212 Ogive for the cumulative frequency distribution of Table 214


STEM-AND-LEAF DISPLAYS Definition In a stem-and-leaf display of quantitative data each value

is divided into two portions ndash a stem and a leaf The leaves for each stem are shown separately in a display


Example 2-8 The following are the scores of 30 college students on a

statistics test

Construct a stem-and-leaf display

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Example 2-8 Solution To construct a stem-and-leaf display for these scores we split

each score into two parts The first part contains the first digit which is called the stem The second part contains the second digit which is called the leaf We observe from the data that the stems for all scores are 5 6 7 8 and 9 because all the scores lie in the range 50 to 98


Figure 213 Stem-and-leaf display


Example 2-8 Solution After we have listed the stems we read the leaves for all

scores and record them next to the corresponding stems on the right side of the vertical line The complete stem-and-leaf display for scores is shown in Figure 214


Figure 214 Stem-and-leaf display of test scores


Example 2-8 Solution The leaves for each stem of the stem-and-leaf display of

Figure 214 are ranked (in increasing order) and presented in Figure 215


Figure 215 Ranked stem-and-leaf display of test scores

One advantage of a stem-and-leaf display is that we do not lose information on individual observations


Example 2-9 The following data give the monthly rents paid by a sample of

30 households selected from a small town

Construct a stem-and-leaf display for these data

88012101151

1081 985 630

72112311175

1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280


Example 2-9 SolutionFigure 216 Stem-and-leaf display of rents


Example 2-10 The following stem-and-leaf display is prepared for the number of hours that 25 students spent working on computers during the last month

Prepare a new stem-and-leaf display by grouping the stems


Example 2-10 SolutionFigure 217 Grouped stem-and-leaf display


Example 2-11 Consider the following stem-and-leaf display which has

only two stems Using the split stem procedure rewrite the stem-and-leaf display


Example 2-11 SolutionFigure 218 amp 219 Split stem-and-leaf display


DOTPLOTS Definition Values that are very small or very large relative to the

majority of the values in a data set are called outliers or extreme values


Example 2-12

Table 216 lists the number of minutes for which each player of the Boston Bruins hockey team was penalized during the 2011 Stanley Cup championship playoffs Create a dotplot for these data


Table 216 Number of Penalty Minutes for Players of the Boston Bruins Hockey Team During the 2011 Stanley Cup Playoffs



Step1 Draw a horizontal line with numbers that cover the given data as shown in Figure 220

Step 2 Place a dot above the value on the numbers line that represents each number of penalty minutes listed in the table After all the dots are placed Figure 221 gives the complete dotplot



As we examine the dotplot of Figure 221 we notice that there are two clusters (groups) of data Sixty percent of the players had 17 or fewer penalty minutes during the playoffs while the other 40 had 24 or more penalty minutes


Example 2-13

Refer to Table 216 in Example 2-12 which lists the number of minutes for which each player of the 2011 Stanley Cup champion Boston Bruins hockey team was penalized during the playoffs Table 217 provides the same information for the Vancouver Canucks who lost in the finals to the Bruins in the 2011 Stanley Cup playoffs Make dotplots for both sets of data and compare them


Table 217 Number of Penalty Minutes for Players of the Vancouver Canucks Hockey Team During the 2011 Stanley Cup Playoffs


Example 2-13 SolutionFigure 222 Stacked dotplot of penalty minutes for the Boston Bruins and the Vancouver Canucks



Looking at the stacked dotplot we see that the majority of players on both teams had fewer than 20 penalty minutes throughout the playoffs Both teams have one outlier each at 63 and 66 minutes respectively The two distributions of penalty minutes are almost similar in shape


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CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)

Example 2-1 Solution Table 24 Frequency Distribution of Favor


Relative Frequency and Percentage Distributions (2)

Example 2-2

Example 2-2 Solution Table 25 Relative Frequency and Percenta

Case Study 2-1 Will Todayrsquos Children Be Better Off Than Their P







ORGANIZING AND GRAPHING QUANTITATIVE


Frequency Distributions (2)





Table 28 Class Boundaries Class Widths and Class Midpoints f

Example 2-3




Example 2-4

Example 2-4 Solution Table 210 Relative Frequency and Percent

Graphing Grouped Data




Graphing Grouped Data (2)




Example 2-5

Example 2-5 (2)


Table 212 Frequency Relative Frequency and Percentage Distri

Example 2-6

Example 2-6 Solution Table 213 Frequency Distribution of Vehi





Figure 29 (a) A histogram skewed to the right (b) A histogra


Figure 211 (a) and (b) Symmetric frequency curves (c) Frequen


Example 2-7

Example 2-7 Solution Table 214 Cumulative Frequency Distribut


Table 215 Cumulative Relative Frequency and Cumulative Percent

CUMULATIVE FREQUENCY DISTRIBUTIONS (2)

Figure 212 Ogive for the cumulative frequency distribution

STEM-AND-LEAF DISPLAYS

Example 2-8



Example 2-8 Solution (2)




Example 2-9

Example 2-9 Solution Figure 216 Stem-and-leaf display of rent

Example 2-10

Example 2-10 Solution Figure 217 Grouped stem-and-leaf displa

Example 2-11

Example 2-11 Solution Figure 218 amp 219 Split stem-and-leaf d

DOTPLOTS

Example 2-12

Table 216 Number of Penalty Minutes for Players of the Boston



Example 2-13

Table 217 Number of Penalty Minutes for Players of the Vancouv

Example 2-13 Solution Figure 222 Stacked dotplot of penalty m


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Opening Example

















Example 2-1



Example 2-1



















data in Table 24
































Finding Class Width





2





classes ofNumber





Example 2-3


8 25 11 15 29 22 10 5 17 21

22 13 26 16 18 12 9 26 20 16

23 14 19 23 20 16 27 16 21 14




5











f

f



Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































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88012101151

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12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










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CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




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data in Table 24
































Finding Class Width





2





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Example 2-3


8 25 11 15 29 22 10 5 17 21

22 13 26 16 18 12 9 26 20 16

23 14 19 23 20 16 27 16 21 14




5











f

f



Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






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statistics test


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88012101151

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96511911370

96010351280

















Example 2-12












Example 2-13










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CHAPTER 2

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Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




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Example 2-1



















data in Table 24
































Finding Class Width





2





classes ofNumber





Example 2-3


8 25 11 15 29 22 10 5 17 21

22 13 26 16 18 12 9 26 20 16

23 14 19 23 20 16 27 16 21 14




5











f

f



Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






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88012101151

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Example 2-12












Example 2-13










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CHAPTER 2

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RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




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2





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Example 2-3


8 25 11 15 29 22 10 5 17 21

22 13 26 16 18 12 9 26 20 16

23 14 19 23 20 16 27 16 21 14




5











f

f



Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































statistics test


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88012101151

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12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










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CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




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Finding Class Width





2





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Example 2-3


8 25 11 15 29 22 10 5 17 21

22 13 26 16 18 12 9 26 20 16

23 14 19 23 20 16 27 16 21 14




5











f

f



Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






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88012101151

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12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










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CHAPTER 2

Opening Example

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Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




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8 25 11 15 29 22 10 5 17 21

22 13 26 16 18 12 9 26 20 16

23 14 19 23 20 16 27 16 21 14




5











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Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































statistics test


756983

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88012101151

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1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










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CHAPTER 2

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Example 2-1

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Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




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Example 2-3


8 25 11 15 29 22 10 5 17 21

22 13 26 16 18 12 9 26 20 16

23 14 19 23 20 16 27 16 21 14




5











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Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






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statistics test


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88012101151

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72112311175

1075 932 952

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12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










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CHAPTER 2

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Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




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Example 2-3


8 25 11 15 29 22 10 5 17 21

22 13 26 16 18 12 9 26 20 16

23 14 19 23 20 16 27 16 21 14




5











f

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Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































statistics test


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72112311175

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12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










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CHAPTER 2

Opening Example

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Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




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5











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Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































statistics test


756983

527284

808177

966164

657671

798687

717972

876892

935057

959298





















88012101151

1081 985 630

72112311175

1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)








f

f



Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































statistics test


756983

527284

808177

966164

657671

798687

717972

876892

935057

959298





















88012101151

1081 985 630

72112311175

1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)


Table 29

























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































statistics test


756983

527284

808177

966164

657671

798687

717972

876892

935057

959298





















88012101151

1081 985 630

72112311175

1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)
























Example 2-5






119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































statistics test


756983

527284

808177

966164

657671

798687

717972

876892

935057

959298





















88012101151

1081 985 630

72112311175

1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)




119808119849119849119851119848119857119842119846119834119853119838119856119842119837119853119841119848119839 119834119836119845119834119852119852=558minus367

6=318






5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































statistics test


756983

527284

808177

966164

657671

798687

717972

876892

935057

959298





















88012101151

1081 985 630

72112311175

1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)





5 1 1 2 0 1 1 2 1 11 3 3 0 2 5 1 2 3 42 1 2 2 1 2 2 1 1 14 2 1 1 2 1 1 4 1 3

















































statistics test


756983

527284

808177

966164

657671

798687

717972

876892

935057

959298





















88012101151

1081 985 630

72112311175

1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)














































statistics test


756983

527284

808177

966164

657671

798687

717972

876892

935057

959298





















88012101151

1081 985 630

72112311175

1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)




















88012101151

1081 985 630

72112311175

1075 932 952

1023 8501100

775 8251140

12351000 750

750 9151140

96511911370

96010351280

















Example 2-12












Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)
















Example 2-12












Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)










Example 2-13










TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)








TI-84


TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)

TI-84


Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)

Minitab


Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)

Minitab


Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)

Minitab


Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)

Minitab


Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)

Minitab


Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)

Excel


Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)

Excel


CHAPTER 2

Opening Example

RAW DATA






Example 2-1

Example 2-1 (2)




Example 2-2

















Example 2-3




Example 2-4










Example 2-5

Example 2-5 (2)



Example 2-6










Example 2-7







Example 2-8







Example 2-9


Example 2-10


Example 2-11


DOTPLOTS

Example 2-12




Example 2-13




TI-84

TI-84 (2)

Minitab

Minitab (2)

Minitab (3)

Minitab (4)

Minitab (5)

Excel

Excel (2)

CHAPTER 2 ORGANIZING AND GRAPHING DATA Prem Mann, Introductory Statistics, 8/E Copyright © 2013...

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Transcript of CHAPTER 2 ORGANIZING AND GRAPHING DATA Prem Mann, Introductory Statistics, 8/E Copyright © 2013...