Question

in the data set below, what is the interquartile range? 13 29 37 41 93 93 93

Explanation:

Step1: Arrange data in order

The data set [13, 29, 37, 41, 93, 93, 93] is already in ascending - order.

Step2: Find the median (Q2)

There are 7 data points. The median is the 4th value. So, \(Q2 = 41\).

Step3: Find Q1

The lower - half of the data is [13, 29, 37]. The median of the lower - half (Q1) is 29.

Step4: Find Q3

The upper - half of the data is [93, 93, 93]. The median of the upper - half (Q3) is 93.

Step5: Calculate the inter - quartile range (IQR)

The formula for IQR is \(IQR=Q3 - Q1\). So, \(IQR = 93-29=64\).

Answer:

64