What is the interquartile range in the following array of ages: 28, 37, 29, 30, 20, 40, 25, 26, 26, 35, 37, 40?
A) 3
B) 5
C) 11
D) 12

Question

Quizplus · Accepted Answer

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) in a data set, representing the middle 50% of the data. First, we need to sort the data: 20, 25, 26, 26, 28, 29, 30, 35, 37, 37, 40, 40. For 12 numbers, Q1 is the average of the 3rd and 4th values (26), and Q3 is the average of the 9th and 10th values (37). Therefore, IQR = Q3 - Q1 = 37 - 26 = 11.

What Is the Interquartile Range in the Following Array of Ages