Question

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What's the data value for a Z-score of -1.25 in a data set with a mean of 43 and a standard deviation of 6? Do NOT round.


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Answer 1

The definition of a z-score is:

z = (X - μ)/σ where X is our given score (33), μ is the distribution's mean (40) and σ is the distribution's standard deviation (9).

To calculate the z-score for 33, plug the numbers in:

z = (33 - 40)/9 = -7/9 = -.78

Hope this helps!

Explanation: