Box and Whisker Plots

Box and Whisker Plots

Five Number Summary

A box and whisker is created from five numbers called the Five Number Summary. This includes the Median, the lower quartile (Q1) , the upper quartile (Q3), the minimum (lowest number), and maximum (highest number).

Multiple Choice

What is the minimum value?

• 64
• 58
• 66
• 60

Multiple Choice

Which box and whisker plot has the highest median?

• Top plot
• Bottom plot

Multiple Choice

What value is the lower quartile?

• 66
• 58
• 60
• 64

Multiple Choice

What data value is the upper quartile (Q3)?

• 64
• 62
• 66
• 58

Multiple Choice

What is the maximum value?

• 58
• 66
• 64
• 60

Multiple Choice

To create your box plot,

you must find your

"___ number summary".

• complete

• three

• five

• quartile

Multiple Choice

What is the maximum?

• The middle number.

• The smallest number.

• The largest number.

• The most frequent number.

Multiple Choice

What is the minimum?

• The middle number.

• The smallest number.

• The largest number.

• The most frequent number.

Multiple Choice

What is the value of the lower quartile (Q1)?

• 5

• 6

• 10

• 15

Multiple Choice

What is the median of the data?

• 200
• 100
• 90
• 140

Multiple Choice

What is the least and greatest value of this data set?

• 6 and 8

• 6 and 19

• 8 and 15

• 15 and 19

Multiple Choice

What is the median of this data set?

• 8

• 12

• 15

• 19

Multiple Choice

What does point C on the box plot represent?

• First Quartile

• Median

• Third Quartile

• Mean

Range and Interquartile Range

Range and Interquartile Range are measures of variation, telling us how spread out the data is.

Range = Maximum - Minimum

Interquartile Range (IQR) - Range of the box

IQR = Q3 - Q1

Multiple Choice

What is the range of this data set?

• 6

• 12

• 13

• 19

Multiple Choice

Which best represents the Interquartile Range

• 15
• 93
• 85
• 78

Multiple Choice

What is the interquartile range?

• 4
• 6
• 2
• 8

Multiple Choice

Range is

• the difference between the third quartile and the first quartile

• the difference between the greatest and least data values.

Multiple Choice

Interquartile Range is

• the difference between the third quartile and the first quartile

• the difference between the greatest and least data values.

Multiple Choice

What is the range of this data set?

• 6

• 12

• 13

• 19

Percents on a Box and Whisker Plot

A box and whisker plot is broken up into quarters or quartiles. Each section of a box and whisker plot is worth 25%.

The box is 2 sections or 50% of the data.

Multiple Choice

What percent of students have heights between 60 inches and 66 inches?

• 75%

• 50%

• 100%

• 25%

Multiple Choice

What percent of the data is between 25 and 30 on the number line?

• 25%
• `50%
• 75%
• 100%

Multiple Choice

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

• 25%
• 50%
• 75%
• 100%

Multiple Choice

11. What percentage of the data is between 90 and 140?

• 25 %
• 50%
• 75%
• 100%