What is the z-score for a value of 12 when the mean is 8 and the standard deviation is 2?

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Multiple Choice

What is the z-score for a value of 12 when the mean is 8 and the standard deviation is 2?

Explanation:
Z-scores tell you how far a value is from the mean in units of standard deviation. You compute it by (value − mean) ÷ standard deviation. Here, (12 − 8) ÷ 2 = 4 ÷ 2 = 2. So the z-score is 2, meaning this value is two standard deviations above the mean. For context, a z-score of 1 would correspond to 10, 0 to 8, and 3 to 14. The value 12 sits at a z-score of 2.

Z-scores tell you how far a value is from the mean in units of standard deviation. You compute it by (value − mean) ÷ standard deviation. Here, (12 − 8) ÷ 2 = 4 ÷ 2 = 2. So the z-score is 2, meaning this value is two standard deviations above the mean. For context, a z-score of 1 would correspond to 10, 0 to 8, and 3 to 14. The value 12 sits at a z-score of 2.

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