Question

to gather data for a statistics project, a student asked 10 friends how many hours of sleep they got on the previous night. The data are shown in the following list. 7 6 5 9 3 4 7 9 5 8 What is the interquartile range (IQR IQR ) of the number of hours of sleep shown in the list?

Answer 1

3

Explanation:

Given the data: 7 6 5 9 3 4 7 9 5 8

INTERQUARTILE RANGE (IQR) = Q3 - Q1

Rearranging the data: 3, 4, 5, 5, 6, 7, 7, 8, 9, 9

Q3 = 0.75(n+1)th term

Q3 = 0.75(10 + 1) th term

Q3 = 0.75(11)th term = 8.25th term

Taking the 8th term = 8

Q1 = 0.25(11)th term = 2.75th

Taking the average of the 8th and 9th term:

(5 + 5) / 2 = 10/2 = 5

Q3 - Q1 = (8 - 5) = 3