Question

Find the interquartile range for a data set having the five-number summary: 3.4, 10.8, 16.7, 23.1, 31.5

Answer Choices:
A. 13.3
B. 28.1
C. 14.8
D. 12.3

Answer 1

.Answer:

D. 12.3

Explanation:

Arrange the data in increasing order

3.4, 10.8, 16.7, 23.1, 31.5

⇒This is an odd set of numbers, to find the interquartile range you include the median in both quartiles.

Locate the median/center value

3.4, 10.8, 16.7, 23.1, 31.5

Find lower half and find the median

lower half values⇒3.4, 10.8, 16.7

Median=Q1=10.8

Find the upper half and find

upper half= 16.7,23.1, 31.5

median= 16.7,23.1,31.5

Q3=23.1

Interquartile range=Q3-Q1

23.1-10.8=12.3