## Related questions with answers

Ms. Pilai has given her class their final exam and has discovered that their scores formed a perfect normal curve, with a standard deviation of 10 • If the mean score of the test was 72, what percentage of students scored between 62 and 82? • What range of scores would be within three deviations of the mean? • What percentage of the scores would be within two standard deviations of the mean?

Solution

Verified62 and 82 are both within 1 standard deviation (10) of the mean (72). Because this is a normal curve, 68% of the students would have scored in this range (between 62 and 82).

The standard deviation times three is 30 (10x3). If the mean is 72, the range would be (72-30 to 72+30), or 42-102.

Because this is a normal curve, 95% of the scores will be within two standard deviations of the mean.

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