Question

What is the interquartile range (IQR) for the data set? 13, 14, 17, 18, 23, 27, 28, 31, 34

a) 14
b) 15.5
c) 21
d) 29.5

Answer 1

The interquartile range (IQR) for the given data set is 14.

Step-by-step explanation:

The interquartile range (IQR) is a measure of the spread of the middle 50 percent of the data. It is calculated by finding the difference between the third quartile (Q3) and the first quartile (Q1). In this data set, the first quartile is 13 and the third quartile is 27. Therefore, the IQR is calculated as: IQR = Q3 - Q1 = 27 - 13 = 14.