The two box-and-whisker plots below show the scores on a math exam for two classes. What do the interquartile ranges tell you about the two classes?

Answer:

A box-and-whisker plot shows the scores on a math exam for two classes.

                                      Class A                Class B

1) Minimum value            65                           56

2) Lower quartile             66                           79

3) Median                          81                            91

4) Upper quartile              89                           94

5) Maximum value           95                          100

First quartile also known as Lower quartile is the number below which lies the 25 percent of the bottom data.

Second quartile or Median divides the range in the middle and has 50 percent of the data below it.

Third quartile also known as upper quartile has 75 percent of the data below it and the top 25 percent of the data above it.

Interquartile   Range = Upper quartile - Lower quartile,

For class A

Interquartile range = 89 -66 = 23

For class B

Interquartile range = 94 -79 = 15

The interquartile ranges tell you about the two classes that  Class B has more consistent scores