Measures of Variation
Quartiles
Probability
Box-and-Whisker Plot
Problem-Solving
100

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

Min, Max, Q2/Median, Q1, Q3, IQR, Range?

What is the range

100

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

Q1, Q2, or Q3?

What is Q1 (the lower quartile)

100

You roll a single die numbered from 1 to 6. What is the probability of rolling an odd number, expressed as a fraction?

 3/6 or ½

100

What is the name for 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

Identify the name of the two values that are at the extremes of a box and whisker plot. 

Min & Max

200

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

Min, Max, Q2/Median, Q1, Q3, IQR, Range?

What is the median

200

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

Q1, Q2, or Q3?

What is the upper quartile

200

The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn. Is it likely or unlikely you will draw a number less than 7?

Unlikely (3/11)

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

Min, Max, Q2/Median, Q1, Q3, IQR, Range?

What is the min

300

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

Min, Max, Q2/Median, Q1, Q3, IQR, Range?

What is the interquartile range

300

A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a mint expressed as a fraction?

7/35 or 1/5

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

Min, Max, Q2/Median, Q1, Q3, IQR, Range?

What is the upper quartile median

400

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

Q1, Q2, or Q3?

What is Q3 (the upper quartile median)

400

After shooting shots for 5 minutes, a player made 35 shots out of 60. Is it likely or unlikely that if he needs to make two free throws to win the game in a row he will do so?

Likley

400

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

Q2=5 Q3= 7 Q1= 4 Max= 9 Min= 3

400

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

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

Min, Max, Q2/Median, Q1, Q3, IQR, Range?

What is Q1 (the lower quartile median)

500

What is the result of subtracting the upper quartile from the lower quartile?

What is the interquartile range

500

There are 15 men on the roster of the baseball team. 2 are catchers, 6 are infielders, 4 are outfielders and the remainder are pitchers. What is the probability that out of a layers chosen at random they would be a pitcher?

3/15

500

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

Q2= 40 Q3= 41 Q1= 36 Max= 48 Min= 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.)  Create box-and-whisker plot