A supervisor finds the mean number of miles that the employees in a department live from work. He finds and. Which statement must be true?

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Complete Question:

A supervisor finds the mean number of miles that the employees in a department live from work. He finds x=2.9 and s=3.6. Which statement must be true?

z376 is within 1 standard deviation of the mean.

z37 is between 1 and 2 standard deviations of the mean.

z37 is between 2 and 3 standard deviations of the mean.

z37 is more than 3 standard deviations of the mean.

Answer:

z37 is between 2 and 3 standard deviations of the mean.

Explanation:

Standard deviation is a way of measuring of how much the value sample varies or disperses. A low standard deviation means that the values are near the mean value of the set, whereas a high standard deviation implies that the values are distributed over a wider range.

In reasonably average data sets, the values reflect about 68 per cent of the sample within 1 standard deviation from the mean; about 95 per cent in 2 standard deviations; and about 99.7 per cent within 3 standardized deviations.