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"

Fill in the Blanks

What was the lowest score?

Fill in the Blanks

What was the median score?

Fill in the Blanks

What is the lower quartile?

Fill in the Blanks

What is the upper quartile?

Fill in the Blanks

What was the highest score?

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

Determine the IQR for this set of data.

(Note: Subtract Quartile 3 and Quartile 1).

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

Fill in the Blanks

If you score 76, 85, 97, and 82 on your math tests, what would your average score be? 

Fill in the Blanks

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

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