The mean of a data set is 10 and the standard deviation is 2. What is the z-score of a value 14?

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Multiple Choice

The mean of a data set is 10 and the standard deviation is 2. What is the z-score of a value 14?

Z-score shows how many standard deviations a value is from the mean. Use z = (X − μ)/σ. With μ = 10, σ = 2, and X = 14: z = (14 − 10)/2 = 4/2 = 2. So 14 is two standard deviations above the mean. For reference, 12 would give 1, 16 would give 3, and 10 would give 0. The z-score for 14 is 2.

Z-score shows how many standard deviations a value is from the mean. Use z = (X − μ)/σ. With μ = 10, σ = 2, and X = 14: z = (14 − 10)/2 = 4/2 = 2. So 14 is two standard deviations above the mean. For reference, 12 would give 1, 16 would give 3, and 10 would give 0. The z-score for 14 is 2.

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