Question

The highest temperatures measured at Death Valley, California, from 1995 to 2004 are given as a dataset.

127, 125, 125, 129, 123, 126, 127, 128, 128, 125

Find the range and the interquartile range of the dataset.

(1 point)

Answer 1

To find the range and interquartile range of the dataset, we first need to arrange the data in ascending order:

123, 125, 125, 125, 126, 127, 127, 128, 128, 129

Range = Maximum value - Minimum value
Range = 129 - 123
Range = 6

To find the interquartile range (IQR), we need to first find the first quartile (Q1) and third quartile (Q3).

Q1 = 125 (average of the two middle values: 125, 125)
Q3 = 128 (average of the two middle values: 127, 128)

IQR = Q3 - Q1
IQR = 128 - 125
IQR = 3

Therefore, the range of the dataset is 6 and the interquartile range is 3.