Question

Suppose that IQ scores have a bell-shaped distribution with a mean of 100 and a standard deviation of 14. Using the empirical rule, what percentage of IQ scores are between 58 and 142?

Answer 1

Answer:

99.7%

Step-by-step explanation:

Bell shaped curve by empirical rule is that if the standard deviation from the mean (left to right) is 1 deviation then about 68% of the data is in that range if it’s 2 standard deviations away then it’s 95% and 3 deviations away is 99.7%

142-100=42=3(14)

100-58=42=3(14)

Therefore the data is three standard deviations from the mean and this there is 99.7% of the data in this range.