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Professor Adams reports that the average raw score on a recent assignment is 50 with a...

Professor Adams reports that the average raw score on a recent assignment is 50 with a standard deviation of 10. A student in the class, Joe Schmow, argues that this means that about 68% of the students in the class scored between 40 and 60 points on the assignment. Is this a reasonable conclusion? Why or why not?

How would you interpret the standard deviation reported by Dr. Adams?

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Answer #1

Using Empirical rule ( 68 - 95 - 99.7) ,

Approximately 68% data falls in 1 standard deviation of the mean.

That is

68% students scored between mean - SD and mean + SD

between 50 - 10 and 50 + 10

between 40 and 60

This is reasonable conclusion.

Professor Adams reports that the average raw score on a recent assignment is one standard deviation

of the mean.

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