Question

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a

standard deviation of 15.

0.55

Answer 1

the IQ score that corresponds to the 0.55 percentile is approximately 98.12

Explanation:

To find the IQ score that corresponds to the 0.55 percentile, we need to find the z-score that corresponds to the 0.55 percentile using the standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the z-score corresponding to the 0.55 percentile is approximately -0.1257.

z = (x - μ) / σ

Substituting the values we know:

-0.1257 = (x - 100) / 15

Solving for x:

x = -0.1257 * 15 + 100

x = 98.12

Therefore, the IQ score that corresponds to the 0.55 percentile is approximately 98.12.