If the original data have mean 10 and SD 2, and an observation is 14, what is the z-score?

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Prepare for the Discovering Statistics Using IBM SPSS Statistics Test with detailed questions and thorough explanations. Enhance your statistical understanding and apply SPSS effectively. Get ready to excel in your assessment!

Multiple Choice

If the original data have mean 10 and SD 2, and an observation is 14, what is the z-score?

Explanation:
A z-score tells you how many standard deviations an observation is from the mean. Compute it by subtracting the mean from the observation and dividing by the standard deviation. Here: (14 − 10) ÷ 2 = 4 ÷ 2 = 2. So the z-score is 2, meaning the observation is two standard deviations above the mean.

A z-score tells you how many standard deviations an observation is from the mean. Compute it by subtracting the mean from the observation and dividing by the standard deviation. Here: (14 − 10) ÷ 2 = 4 ÷ 2 = 2. So the z-score is 2, meaning the observation is two standard deviations above the mean.

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