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10 March, 13:53

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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  1. 10 March, 14:05
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    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
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