Question

Suppose that IQ scores have a bell-shaped distribution with a mean of 101 and a standard deviation of 14. Using the empirical rule, what percentage of IQ scores are at least 73? Please do not round your answer.

Answer 1

Step-by-step explanation:

From the information given,

mean = 101

standard deviations = 14

We need to find the number of standard deviations between 73 and the mean.

Number of standard deviations = (73 - 101)/14 = - 28/14 = - 2

It is 2 standard deviations from the mean. According to the empirical rule, 95% of the population lies between 2 standard deviations of the mean. The required area is to the right of 2 standard deviations since we want to find the least score. Thus, the probability of having IQ scores are at least 73 is

We would convert to percentage by multiplying by 100