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