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Stats test The mean score on the Stats exam was 75 points with a standard deviation of 5 points, and Gregor’s z-score was –2. How many points did he score?
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Find the number of points scored by Gregor.
Answer to Problem 1E
The number of points scored by Gregor is 65.
Explanation of Solution
Given info:
In a Stats exam, the mean score is 75 points and the standard deviation of score is 5 points. The z-score of Gregor is –2.
Justification:
The z-score of a variable X taking value x is,
Where
From the above equation, the number of points scored by Gregor can be obtained as follows:
Substitute
Thus, the number of points scored by Gregor is 65.
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