With mean 100 and SD 5, a result of 110 yields Z = 2. Which statement is true?

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Multiple Choice

With mean 100 and SD 5, a result of 110 yields Z = 2. Which statement is true?

Explanation:
Z-score shows how many standard deviations a value lies from the mean, using Z = (X − μ) / σ. Here the mean is 100 and the standard deviation is 5. A value of 110 is 10 above the mean, so Z = 10 / 5 = 2. This means the result is two standard deviations above the mean. The other options would place the value at different distances from the mean: Z = 0 would be 100, Z = 1 would be 105, and Z = 1.5 would be 107.5. So the Z-score is 2.

Z-score shows how many standard deviations a value lies from the mean, using Z = (X − μ) / σ. Here the mean is 100 and the standard deviation is 5. A value of 110 is 10 above the mean, so Z = 10 / 5 = 2. This means the result is two standard deviations above the mean. The other options would place the value at different distances from the mean: Z = 0 would be 100, Z = 1 would be 105, and Z = 1.5 would be 107.5. So the Z-score is 2.

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