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?

A box-and-whisker plot shows 5 number summary:

Class A Class B
1) minimum value 65 56
2) 1st quartile 66 79
3) median 81 91
4) 3rd quartile 89 94
5) maximum value 95 100

Interquartile range = 3rd Quartile - 1st Quartile
Class A: 89 - 66 = 23
Class B: 94 - 79 = 15

IQR indicates the spread of the of the scores over the median. Class A has a spread that his more than 50% of the scores of Class B.

OrethaWilkison OrethaWilkison · Answer 2 · 2018-11-29T07:06:35-05:00

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