A set of data has a normal distribution with a mean of 49 and a standard deviation of 8. Find the percent of data within the following interval. from 33 to 65.

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Mathematics

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2 March, 18:51

A set of data has a normal distribution with a mean of 49 and a standard deviation of 8. Find the percent of data within the following interval. from 33 to 65.

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Fernando Holt · Answer 1

95 percent

Step-by-step explanation:

The empirical rule states that approximately 95% of observations will fall within 2 standard deviations of the mean if the population is approximately symmetrical (normal) in distribution.

The interval from 33 to 65 falls within 2 standard deviations of the mean;

49-2 (8) = 33

49+2 (8) = 65

Thus, 95 percent of data will fall within the interval from 33 to 65