Statistics Unit Test 9 of 159 of 15 Items 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 .

Answer 1

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

Range = 129 - 123 = 6

The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1) of the dataset, which represents the middle 50% of the data.

To find the quartiles, first put the data in order:

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

There are 10 data points, so the median (Q2) is the average of the 5th and 6th values:

(Q2) = (126 + 127) / 2 = 126.5

Next, find Q1 and Q3 by finding the medians of the lower and upper halves of the data:

Lower half: 123, 125, 125, 125, 126
(Q1) = (125 + 125) / 2 = 125

Upper half: 127, 127, 128, 128, 129
(Q3) = (128 + 128) / 2 = 128

Interquartile Range = Q3 - Q1 = 128 - 125 = 3

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