Question

Suppose that IQ scores have a bell shaped distribution with a mean of 95 and a standard deviation of 16 using the empirical rule what percentage of IQ scores are between 79 and 111

Answer 1

Explanation

We are asked to use empirical rule to evaluate the percentage of IQ scores between 79 and 111.

To do so, we will make use of the empirical chart for normal distribution

Since we know that

standard deviation = 16

mean score = 95

Then an IQ value between 79 and 111 is between 1 standard deviation before and after the mean

$\mu-\sigma\text{ to }\mu+\sigma$

This value falls within 68%

The answer is 68%