Measures of Variation
Quartiles
Outliers
Box-and-Whisker Plot
Problem-Solving
100
11 in the data set 14, 16, 18, 24, 19, 15, 13
What is the range
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

What is 1 thing a box-and-whisker plot can tell you?

1. Shape of distribution

2. Central value

3. Variability

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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