Question

a town’s january high temperatures average 36°f with a standard deviation of 10°, while in july the mean high temperature is 74° and the standard deviation is 8°. in which month is it more unusual to have a day with a high temperature of 55°? explain.

Answer 1

It is more unusual to have a high temperature of 55 degrees in July because the month's z-score is 2.375 standard deviations from its mean.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean. Standard deviation is significant because it enables consumers to evaluate risk. Think about an investing strategy with a 10% average yearly return.

Here,

Calculations are attached in image.

A high temperature of 55 degrees is particularly rare since July's z-score is 2.375 standard deviations outside of its mean.

To know more about standard deviation,

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