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)
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.