Question

If a variable has a distribution that is bell-shaped with mean 28 and standard deviation 5, then according to the Empirical Rule, 99.7 of the data will lie between which values?

Answer 1

Answer: 13 and 43

Reason: Approximately 99.7% of the normal distribution will be within 3 standard deviations of the mean.

The lower bound is mu-3*sigma = 28-3*5 = 13

The upper bound is mu+3*sigma = 28+3*5 = 43

Therefore, 99.7% of the values are between 13 and 43.

Side note: mu = mean, sigma = standard deviation