in the data set below, what is the interquartile range? 50 74 75 75 92 97 99

Answer:

23

Explanation:

Step1: Arrange data in order

50, 74, 75, 75, 92, 97, 99

Step2: Find median (Q2)

Since there are 7 data - points, the median is the 4th value. So Q2 = 75.

Step3: Find lower half

The lower half is 50, 74, 75. The median of the lower half (Q1) is 74.

Step4: Find upper half

The upper half is 92, 97, 99. The median of the upper half (Q3) is 97.

Step5: Calculate inter - quartile range

IQR=Q3 - Q1 = 97 - 74=23