Assume the following.In location A yearly temperatures range from -30°F to 100°F and in location B yearly temperatures range from 55°F to 75°F.In both locations the average yearly temperature equals 65°F.We can conclude that
A) temperature in location A has a higher variance.
B) temperature in location B has a higher standard deviation.
C) temperature in location A has a lower standard deviation.
D) temperatures in both locations have the same standard deviation but different variances.

Question

Quizplus · Accepted Answer

Variance measures the spread of a set of numbers. Location A, with a wider range of temperatures from -30°F to 100°F, exhibits a greater spread compared to Location B's narrower range of 55°F to 75°F. Therefore, Location A has a higher variance, and since standard deviation is the square root of variance, it also implies a higher standard deviation for Location A.

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