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 below 100?

Answer 1

According to the empirical rule, the percent of the data points that are below 100 is; 95.44%

How to use Empirical Rule in Statistics?

We are given;

Mean; μ = 88

Standard deviation; σ = 6

Sample mean; x' = 100

Formula for z-score is;

z = (x' -  μ)/σ

z = (100 - 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 below 100. Thus, this is 95.44%

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

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