Question

This box plot shows information about the marks scored in a test.

a) What was the median number of marks scored?
b) What was the interquartile range of the marks?
c) What was the range of the marks?

Answer 1

a) 58

b) 38

c) 76

Explanation:

a) Here we want to get the median

The median of the number is the 3rd line

The value here is 58

b) The interquartile range is the difference between the first and third quartile

The third quartile is the 4th line and its value is 72

The first quartile is the second line which is 34

The interquartile range is thus; Q3-Q1

= 72-34 = 38

c) The range is the difference between the highest and lowest values

The highest value is 86

The lowest value is 10

The range is thus;

86-10 = 76