Question

Find the interquartile range for a data set having the five-number summary: 3.5, 10.4, 16, 21.7, 27.7

Answer 1

Answer: 17.75

Explanation:

The interquartile range(IQR) is the 3rd quartile - the 1st quartile.

How to get quartiles:

First get the median:

3.5, 10.4, 16, 21.7, 27.7

10.4, 16, 21.7

16

Then find the median of the first half of data(3.5, 10.4)

(3.5+10.4)/2 = 6.95

Then find the median of the last half of data(21.7, 27.7)

(21.7+27.7)/2 = 24.7

Then to get the IQR subtract 6.95 from 24.7 to get 17.75

Hope it helps <3

Answer 2

Answer11.3

Explanation:

Since there is an odd amount of values

find you lower median by taking the 3 lower numbers and using the middle number 10.4 (Q1)

then find your higher median with the 3 higher numbers and using the middle number 21.7 (Q3)

Then subtract Q3 - Q1

21.7-10.4 giving you the answer 11.3