A standard score of 75 is approximately what distance below the mean?

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Multiple Choice

A standard score of 75 is approximately what distance below the mean?

Explanation:
This tests converting a standard score into how far it sits from the mean in units of standard deviation. On a typical standard-score scale, the mean is 100 with a standard deviation of 15. A score of 75 is 25 points below the mean (100 − 75 = 25). Express that in standard deviations: 25 ÷ 15 ≈ 1.67. Since it’s below the mean, it’s about 1.7 standard deviations below. So the distance is between one and two standard deviations below the mean.

This tests converting a standard score into how far it sits from the mean in units of standard deviation. On a typical standard-score scale, the mean is 100 with a standard deviation of 15. A score of 75 is 25 points below the mean (100 − 75 = 25). Express that in standard deviations: 25 ÷ 15 ≈ 1.67. Since it’s below the mean, it’s about 1.7 standard deviations below. So the distance is between one and two standard deviations below the mean.

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