Question

The typing speeds in words per minute for 9 individuals are given as a dataset.

45, 80, 65, 60, 72, 58, 53, 68, 62

Find the range and the interquartile range of the dataset.

(1 point)
Responses

The range is 35, and the interquartile range is 14.5.
The range is 35, and the interquartile range is 14.5.

The range is 35, and the interquartile range is 12.
The range is 35, and the interquartile range is 12.

The range is 35, and the interquartile range is 19.
The range is 35, and the interquartile range is 19.

The range is 27, and the interquartile range is 14.5.

Answer 1

Sort data: 45, 53, 58, 60, 62, 65, 68, 72, 80.
Range = 80 − 45 = 35.
Median = 62. Lower half = 45,53,58,60 → Q1 = (53+58)/2 = 55.5. Upper half = 65,68,72,80 → Q3 = (68+72)/2 = 70.
IQR = Q3 − Q1 = 70 − 55.5 = 14.5.

So range = 35 and IQR = 14.5.