Measures of Variation

Measures of Variation

Quartiles

Outliers

Box-and-Whisker Plot

Problem-Solving

100

the data set 14, 16, 18, 24, 19, 15, 13. What is the range

11

100

13, 14, 15 in the data set 14, 16, 18, 24, 19, 15, 13

What is the lower quartile

100

There is one outlier in the data set 20, 23, 18, 21, 4, 17, 15
You must show your work on the board.

What is 4

100

A plot that uses a number line to show the distribution of a set of data by using five values.

What is a box-and-whisker plot

100

Explain how to determine from a box-and-whisker plot whether there are any outliers in the data.

Outliers are shown as an asterisk beyond the extreme values, disconnected from the whisker of the box

200

28 in the data set 29, 27, 24, 28, 30, 51, 28

What is the median

200

18, 19, 24 in the data set 14, 18, 16, 24, 19, 15, 13

What is the upper quartile

200

There are two outliers in the data set 22, 27, 25, 11, 29, 28, 41, 26, 28, 23. Show your work on the board.

What is 11 and 41

200

This is drawn around the quartile values.

What is the box

200

Explain what the upper quartile is.

The median of the upper half of a set of data, represented by UQ

300

65 in the data set 91, 92, 88, 89, 93, 95, 65, 85, 91

What is the outlier

300

3 in the data set 29, 27, 24, 28, 30, 51, 28

What is the interquartile range

300

Data that are more than 1.5 times the value of the interquartile range beyond the quartiles.

What is outliers

300

These extend from each quartile to the extreme data points that are not outliers.

What is whiskers

300

Explain what the lower quartile is.

The median of the lower half of a set of data, represented by LQ

400

128.5 in the data set 132, 116, 108, 113, 126, 120, 131, 112, 126

What is the upper quartile median

400

92 in the data set 90, 88, 72, 85, 92, 95, 93, 86, 92, 91

What is the upper quartile median

400

Find the outliers in the data set 42, 36, 58, 47, 34, 43, 54, 49, 48, 41, 38

What is none

400

Construct a box-and-whisker plot for the data set
4, 7, 5, 3, 9, 6, 4

Median=5
Upper= 7
Lower= 4
Greatest= 9
Least= 3

400

Describe the distribution of the data from "Box-and-Whisker Plot" 400

The upper half is more spread out compared to the lower half.

500

107 in the data set 107, 114, 124, 108, 117, 106, 107, 109, 117, 115

What is the lower quartile median

500

Subtract the upper quartile from the lower quartile

What is the interquartile range

500

Describe how to find the limits for outliers.

Multiply the interquartile range by 1.5. Add that number to the upper quartile median and subtract it from the lower quartile median. Data that falls above or below the numbers are the outliers.

500

Construct a box-and-whisker plot for the data set
39, 41, 30, 14, 44, 40, 48, 39, 40, 36

Median= 40
Upper= 41
Lower= 36
Greatest= 48
Least= 30
Outlier= 14

500

The steps to create a box-and-whisker plot.

1.) Median, Greatest value, Least value
2.) Upper and lower quartile medians
3.) Interquartile range
4.) Outliers
5.) Create box-and-whisker plot

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