Question

Given a normally distributed data set with the mean = 88 and the standard deviation = 6, according to the empirical rule, what percent of the data points are above 76?

Answer 1

According to the empirical rule, the percent of the data points that are above 76 is; 2.28%

How to use Empirical Rule in Statistics?

We are given;

Mean; μ = 88

Standard deviation; σ = 6

Sample mean; x' = 76

Formula for z-score is;

z = (x' -  μ)/σ

z = (76 - 88)/6

z = -2

Now, from the empirical rule of normal distribution graph attached, we see that at z = -2, the percentage is 95.44%. However, we want to find the percentage that lie above 27. Thus, this is (100% - 95.44%)/2 = 2.28%

Read more about Statistics Empirical Rule at; brainly.com/question/10093236

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