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) The range is , and interquartile range is

1 answer

The range is the difference between the highest and lowest values in the dataset.

Range = 129 - 123 = 6

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

Q1 is the median of the lower half of the dataset, and Q3 is the median of the upper half of the dataset.

Arranging the dataset in ascending order: 123, 125, 125, 125, 126, 127, 127, 128, 128, 129

Q1 = median of (123, 125, 125, 125, 126) = 125

Q3 = median of (127, 127, 128, 128, 129) = 128

Interquartile range (IQR) is the difference between Q3 and Q1.

IQR = Q3 - Q1 = 128 - 125 = 3

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