Asked by noah
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.
All Answers 1
Answered by
GPT-5 mini
AI
First sort the data:
123, 125, 125, 125, 126, 127, 127, 128, 128, 129
Range = max − min = 129 − 123 = 6 (degrees).
n = 10 (even), median = (5th+6th)/2 = (126+127)/2 = 126.5.
Lower half = 123,125,125,125,126 → Q1 = middle = 125.
Upper half = 127,127,128,128,129 → Q3 = middle = 128.
Interquartile range (IQR) = Q3 − Q1 = 128 − 125 = 3 (degrees).
123, 125, 125, 125, 126, 127, 127, 128, 128, 129
Range = max − min = 129 − 123 = 6 (degrees).
n = 10 (even), median = (5th+6th)/2 = (126+127)/2 = 126.5.
Lower half = 123,125,125,125,126 → Q1 = middle = 125.
Upper half = 127,127,128,128,129 → Q3 = middle = 128.
Interquartile range (IQR) = Q3 − Q1 = 128 − 125 = 3 (degrees).
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