Question

The five number summary for a set of data is given below.

Min
Q1
Median
69
74
81
What is the interquartile range of the set of data?
Enter just the number as your answer. For example, if you found that the interquartile range was 24,
you would enter 24.
Sorry, that's incorrect. Try again?
Q3
85
Max
87

Answer 1

Interquartile range = 11

Explanation:

Given:

• Min = 69
• Q1 = 74
• Median = 81
• Q3 = 85
• Max = 87

Since we know that:

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1).

In this case,

Q3 = 85 and Q1 = 74.

So,

`\sf IQR = Q3 - Q1 =85 - 74 = 11`

Therefore, the inter quartile range of the set of data is 11.