Question

The highest temperatures measured at death valley California from 1995 to 2004 I was given as a data set 127 125 125 129 123 126 127 128 128 125 find the range and the interquartile range of the data set the range is and the interquarter tail ranges what are the answers

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the range of the data set, we subtract the smallest value from the largest value:

Range = 129 - 123 = 6

Next, we need to find the interquartile range (IQR) of the data set. The IQR is calculated by finding the difference between the third quartile (Q3) and the first quartile (Q1).

To calculate Q1 and Q3, we need to find the median of the lower half of the data set (Q1) and the median of the upper half of the data set (Q3).

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

Q1 = (125 + 126)/2 = 125.5
Q3 = (128 + 128)/2 = 128

IQR = Q3 - Q1 = 128 - 125.5 = 2.5

Therefore, the range of the data set is 6 and the interquartile range is 2.5.