Question

When Rashaad goes bowling, his scores are normally distributed with a mean of 175

and a standard deviation of 13. Using the empirical rule, determine the interval that
would represent the middle 68% of the scores of all the games that Rashaad bowls.

Answer 1

The interval (162, 188)would represent the middle 68% of the scores of all the games that Rashaad bowls.

Explanation:

As per the empirical rule of normal distribution, for any normally distributed curve, the values lie between the extreme values i.e

(μ - σ) and (μ + σ).

Given

μ = 175

σ = 13

(μ - σ) = 175 -13 = 162

(μ + σ) = 175 + 13 = 188

Hence the required interval is 162, 188