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scores on the act college entrance exam follow a bell-shaped distribution with mean 21 and standard deviation 5. wayne’s standardized score on the act was −0.6. what was wayne’s actual act score?

Answer :

Wayne's actual act score is 18

A z-score tells you where the score lies on a normal distribution curve.

A standard deviation is a measure of how dispersed the data is in relation to the mean.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Given,

The mean = 21

Standard deviation =5

z-score = -0.6

We know z-score = (x-mean)/ Standard deviation

Substitute the values

-0.6 = [tex]\frac{x-21}{5}[/tex]

x-21 = -0.6 ×5

x-21 = -3

x=-3+21

x=18

Hence, the Wayne's actual act score is 18

Learn more about z-score here

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