Question

in the data set below, what is the interquartile range? 16 24 51 62 78 78 86

Explanation:

Step1: Arrange data in order

16, 24, 51, 62, 78, 78, 86

Step2: Find median (Q2)

Since there are 7 data - points, the median (Q2) is the 4th value, so Q2 = 62.

Step3: Find lower half

The lower half is 16, 24, 51. The median of the lower half (Q1) is 24.

Step4: Find upper half

The upper half is 78, 78, 86. The median of the upper half (Q3) is 78.

Step5: Calculate inter - quartile range

IQR=Q3 - Q1 = 78 - 24=54.

Answer:

54