Question

Find the interquartile range for a data set having the five-number summary: 4.6, 14.3, 19.7, 26.1, 31.2

Answer 1

Answer: 11.8

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Step-by-step explanation:

The five number summary is the set of these items, in this exact order

1. Min = smallest value
2. Q1 = first quartile
3. Median = middle most number
4. Q3 = third quartile
5. Max = largest value

So with the five number summary 4.6, 14.3, 19.7, 26.1, 31.2, we see that

Q1 = 14.3 and Q3 = 26.1

Subtracting these two values gets us the IQR (interquartile range)

IQR = Q3 - Q1

IQR = 26.1 - 14.3

IQR = 11.8