Warm-up April 2, 2014Warm-up April 2, 2014
The number of games won by a famous basketball team each year from the year 1991 to the year 2000 are 25, 30, 25, 50, 40, 75, 40, 50, 35, and 40. Do you know how to construct the box-and-whisker plot of the data.
CCGPS Coordinate AlgebraCCGPS Coordinate Algebra
UNIT QUESTION: How can I represent, compare, and interpret sets of data?Standard: MCC9-12.S.ID.1-3, 5-9, SP.5
Today’s Question:How do I graphically represent data?Standard: MCC9-12.S.ID.1
Unit 4Unit 4VocabularyVocabulary
Standards MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-12.S.1D.2 and MCC9-
12.S.ID.3
Box PlotBox PlotA plot showing the minimum,
maximum, first quartile, median, and third quartile of a data set; the middle 50% of the data is indicated by a box.
Example:
Box Plot: Pros Box Plot: Pros and Consand Cons
Advantages:•Shows 5-point summary and outliers •Easily compares two or more data sets •Handles extremely large data sets easily Disadvantages:•Not as visually appealing as other graphs •Exact values not retained
Dot PlotDot PlotA frequency plot that shows the
number of times a response occurred in a data set, where each data value is represented by a dot.
Example:
Dot Plot: Pros Dot Plot: Pros and Consand Cons
Advantages:•Simple to make•Shows each individual data pointDisadvantages:•Can be time consuming with lots of data points to make•Have to count to get exact total. Fractions of units are hard to display.
HistogramHistogramA frequency plot that shows the
number of times a response or range of responses occurred in a data set.
Example:
Histogram: Pros and Histogram: Pros and ConsCons
Advantages:•Visually strong•Good for determining the shape of the dataDisadvantages:•Cannot read exact values because data is grouped into categories •More difficult to compare two data sets
MeanMeanThe average value of a data set,
found by summing all values and dividing by the number of data points
Example:
5 + 4 + 2 + 6 + 3 = 20
45
20
The Mean is 4
MedianMedianThe middle-most value of a data
set; 50% of the data is less than this value, and 50% is greater than it
Example:
First QuartileFirst QuartileThe value that identifies the lower
25% of the data; the median of the lower half of the data set; written as
Example:
1Q
Third QuartileThird QuartileValue that identifies the upper
25% of the data; the median of the upper half of the data set; 75% of all data is less than this value; written as
Example:
3Q
Interquartile RangeInterquartile Range
The difference between the third and first quartiles; 50% of the data is contained within this range
Example:
3Q 1QSubtract Third Quartile ( ) – First Quartile ( ) = IQR
OutlierOutlier A data value that is much greater than or
much less than the rest of the data in a data set; mathematically, any data less than
or greater than is an outlier
Example:
)(5.11 IQRQ
)(5.13 IQRQ
The numbers below represent the number of homeruns hit by players of the Hillgrove baseball team.
2, 3, 5, 7, 8, 10, 14, 18, 19, 21, 25, 28
Q1 = 6
Q3 = 20
Interquartile Range: 20 – 6 = 14
Do the same for Harrison: 4, 5, 6, 8, 9, 11, 12, 15, 15, 16, 18, 19, 20
The numbers below represent the number of homeruns hit by players of the Hillgrove baseball team.
2, 3, 5, 7, 8, 10, 14, 18, 19, 21, 25, 28
Q1 = 6
Q3 = 20
Interquartile Range: 20 – 6 = 14
12 206
Creating a box plotCreating a box plot
• Video 1 http://learnzillion.com/lessons/2961-create-a-box-plot
• Code LZ2961(Learzillion)• Video 2
http://learnzillion.com/lessons/3878-create-a-box-plot
• Code LZ3878 (Learnzillion)