Question

The following are the distances (in miles) to the nearest airport for 11 families. 9, 11, 11, 16, 16, 24, 28, 30, 34, 42, 45 Notice that the numbers are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary

Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:

Answer 1

• 11, 11, 24, 34, 45 and 23

===========================

Given data

• 9, 11, 11, 16, 16, 24, 28, 30, 34, 42, 45

Five-number summary

Minimum:

• The smallest number of data ⇒ 11

Maximum:

• The largest number of data ⇒ 45

Median:

• The middle number of the data if data consists of odd number of elements ⇒ 24

Lower quartile:

• The median of the lower half of data, 9, 11, 11, 16, 16 ⇒ 11

Upper quartile:

• The median of the upper half of data, 28, 30, 34, 42, 45 ⇒ 34

Interquartile range

• The difference of upper and lower quartiles, 34 - 11 = 23