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, 12
Find the range and the interquartile range of the dataset.

The range is _____, and the interquartile range is _____

1 answer

To find the range, we need to subtract the smallest value from the largest value 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).

1. Arrange the data in ascending order:
123, 125, 125, 126, 127, 127, 128, 128, 129

2. Find the median of the lower half of the data (Q1):
Q1 = median of {123, 125, 125} = 125

3. Find the median of the upper half of the data (Q3):
Q3 = median of {127, 127, 128, 128, 129} = 127

4. Calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 127 - 125 = 2

Therefore, the range of the dataset is 6 and the interquartile range is 2.