Question

A survey of 10 students was conducted to investigate the amount of time they spend on social media each day. Students were given a timer and asked to record the number of minutes spent every time they accessed social media. The students' total times for one day are given wlow (in minutes).

45 57 63 79 84 92 | 99 | 105 | 117 145

The interquartile range for these data is:

A. 63.
B. 42.
C. 45
D. 105

Answer 1

B. 42.

Explanation:

The interquartile range (IQR) is the difference between the third and first quartile (Q3 - Q1).

In a data set of 10 students, the first quartile is determined as the median of the first 5 numbers:

45 57 63 79 84

Q1 = 63

The third quartile is determined as the median of the last 5 numbers:

92 99 105 117 145

Q3 = 105

The interquartile range (IQR) is:

`IQR = Q3 - Q1\\IQR = 105 - 63 = 42`

The answer is B. 42.