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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)
The range is
, and interquartile range is
.
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 and third quartiles.
1. To find the first quartile (Q1), we need to find the median of the lower half of the dataset.
123, 125, 125 → the median is 125
2. To find the third quartile (Q3), we need to find the median of the upper half of the dataset.
127, 127, 128, 128, 129 → the median is 128
Interquartile Range = Q3 - Q1 = 128 - 125 = 3
Therefore, the range is 6 and the interquartile range is 3.