A set o scores has a mean of 100 and a standard deviation of 20. What is the actual score if the standardized score is was 1.8?

1 Answer
Christian J.
Jan 9, 2018

The actual score was #color(blue)136#.

Explanation:

The standardized score is the z-score, or that many standard deviations away from the mean.

To find the actual score, you multiply the standardized score by the standard deviation to determine how many points above/below the mean was the actual score:
#1.8 * 20 = 36#

Then, add this number to the mean to find the actual score:
#36 + 100 = 136#

The actual score was #color(blue)136#.

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