Boxplot and The Five-Number Summary

Box Plots and The Five-Number Summary

By Eka N

Another name for this is Box and Whisker.​

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​Box Plot

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A box plot should have these components

1. Minimum value

2. First quartile (Q1)

3. Second quartile (Q2 or median)

4. Third quartile (Q3)

5. Maximum value

Multiple Choice

A box plot should have …

• Min, Max

• Min, Q1, Q2, Q3, Max

• Median

• Quartiles

Quartiles

​Quartiles are the values that divide a list of numbers into quarters:

• Put the list of numbers in order

• Then cut the list into four equal parts

• The Quartiles are at the "cuts"

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Multiple Choice

The box-and-whisker plot displays the number of inches of snowfall last year for 14 cities. Each city had a different amount of snowfall.

What was the most snowfall that fell on any city?

• 80 inches

• 64 inches

• 69 inches

• 76 inches

Multiple Choice

The box-and-whisker plot displays the number of inches of snowfall last year for 14 cities. Each city had a different amount of snowfall.

What percent of the cities had more than 64 inches of snow?

• 64%

• 50%

• 75%

• 70%

Multiple Choice

What percent of students have a height between 58 inches and 60 inches?

• 25%

• 50%

• 75%

• 100%

Multiple Choice

The middle 50% of scores were between....

• 30-39

• 30-50

• 39-55

• 50-68

Multiple Choice

What is the lower and upper Quartiles? (Quartile 1 and Quartile 3)

• 40 and 150

• 90 and 100

• 90 and 140

• 100 and 140

Fill in the Blanks

Multiple Choice

What percentage of students scored a 39 or higher?

• None

• 25%

• 50%

• 75%

Multiple Choice

True or false: More people scored between 55-68 than 50-55.

• True

• False

Multiple Choice

Which squirrels have a larger interquartile range?

• Red

• Grey

• They're the same

Multiple Choice

Which group has a higher median reaction time?

• Group A

• Group B

• They're the same

Multiple Choice

Which group has a lower IQR?

• Group A
• Group B

Multiple Choice

Find the outlier in the set of data 
92, 88, 106, 169, 76, 72, 67, 10, 115, 73, 111, 59 

• 169
• 115, 169
• 111, 169
• 10, 169