IQ scores are approximately normally distributed with a mean of 100 and a standard
deviation of 15. What IQ score is about 1.5 standard deviations above the mean?
A. 77.5
B. 120
OC. 115
D. 122.5

Respuesta :

The IQ score of 122.5 is about 1.5 standard deviations above the mean.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The z score is given by:

z = (raw score - mean) / standard deviation.

Given a mean of 100 and standard deviation of 15. The IQ score that is 1.5 standard deviations above the mean corresponds to a z score of 1.5, hence:

1.5 = (x - 100)/15

x = 122.5

The IQ score of 122.5 is about 1.5 standard deviations above the mean.

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