Jack tells Jill, "This isn't the $5 bill you left on the the

table. I found it between pages 15 and 16 of Harry

Potter."

Jill retorts, "You're lying and I can prove it." How did

Jill know?

Jack tells Jill, "This isn't the $5 bill you left on the

the table. I found it between pages 15 and 16 of

Harry Potter."

Jill retorts, "You're lying and I can prove it." How

did Jill know? Harry Potter, like all other books, has odd-

numbered pages on the right. Therefore,

pages 15 and 16 are the front and back of a

single page, and nothing could have been

found between them.

Organizing Data

Mean-Median-Mode

Qualitative vs Quantitative

Organizing Data by:

Using Line Plots

Describing Data (mean, median,mode,

and range)

Making Charts or Graphs(bar

graphs,circle graphs,pictographs,line

graphs)

Line Plots

Line plots are diagrams that organize

data on a number line

If your data is numerical, one way to

show it would be with a line plot

Here’s a way to make a line

plot.

Find the least and the greatest numbers in your set of data for your line plot.

Choose a sequence that will fit your data.( arrange the numbers by 2’s, 5’s etc.what ever works best for your data)

Put an x on the line plot to represent your data

Write a title for your line plot.

Mean, Median, and Mode

Averages

Mean, median and mode are three

kinds of averages.

They can be the same answer for a

particular data set or they can be

different.

When you read an article in a magazine

and it says “the average…”, it is helpful

to know what kind of average is being

talked about.

Mean:

Mean is the kind of average you have

used before.

1) Add the numbers. 3+ 3+

4+ 5+ 6 = 21

2) Divide by how many numbers were in

the list. There are 5 numbers in the list.

21 5 = 4.2

Median

If a list has an even number of

elements, the median is the mean of the

middle two numbers.

2,3,4,5,5,6

4 and 5 are in the middle and the

mean of those two numbers is 4.5

Median

Median: The number in the middle of

the list.

First, put the numbers in order.

3, 3, 4, 5, 6

The number in the middle is 4. 4 is the

median.

Example:

A family has children aged 3, 4, 5, 3, 6.

find the mean, median and mode.

Mode

Mode: the number that appears the

most often.

3 appears twice the other numbers only

once. 3 is the mode. A list can have

more than one mode or no mode at all.

Example with Algebra

Jack sent five packages last week with

a mean weight of 4.1 lbs.

The mode is 6lbs and the median is 3.5

lbs.

The second smallest package is one

pound more than the smallest.

Find the weight of the two smallest

packages.

Describing data

Mean

Median

Mode

Range

Mean/Average

To find the mean or average of a set of data you first :

Add the numbers

Count the number of data

Divide the total of the numbers by the number of data.

6,4,6,5,7,7,4,9=48

There are 8 sets of

data

Divide 48 by 8 = 6

To check, 8 x 6= 48

Median

The median number of a set of data is the number found in the middle.

Arrange your data in order from least to greatest to find the middle number. Sometimes you will have two middle numbers.

4

4

5

6

6

7

7

9

Mode

The mode of a set of data is the number

that occurs most often in the data.

You may have more than one mode.

4,6, and 7 are your modes in this set of

data.

Range

The range of a set of data is found by

subtracting the least number from the

greatest number.

9 – 4 = 5

In this set of data the range is from 4 to

9 with the exact range of 5.

Sample Data Table Title: The Effect of the independent variable on the

dependent variable

Column for independent

variable

Column for dependent variable

Column for derived quantity

Label – with units if

necessary

Label – with units if

necessary – multiple trials

included

Label – with units if

necessary. Example

= average of trials 1 2 3

Graphs Title: The Effect of the independent variable on the dependent

variable

Independent Variable – include

units and an appropriate scale

Dep

en

den

t Varia

ble

– in

clu

de u

nits a

nd

an

ap

pro

pria

te

scale

Making Charts and Graphs

0

10

20

30

40

50

60

70

80

90

1st

Qtr

3rd

Qtr

East

West

North

Bar graphs are

another way to show

data.

Double bar graphs

help you to compare

data.

Line graphs

Line graphs are

good for showing

changes in data

over time when

working with dates.

Double line graphs

can help you show

even more data and

compare data.

Circle graphs/Pie Charts

Circle or pie charts

are another way to

show data, and

compare data to

percentages or

fractions of a whole.

Pictographs

Pictographs are

often used to show

data in newspapers

and magazines

because they get

your attention.

Each picture

represents a specific

number of data.

Using Excel To Set Up Graphs

Using Excel To Set Up Graphs

Using Excel To Set Up Graphs

In conclusion

Organizing data makes it easier to read and understand.

Using graphs and charts helps to get the attention of your audience

Charts, line plots and graphs are ways to organize data so it is useful to you.

Comparing data is easier when it is clear and specific.