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The standard deviation on a test was 12 points, and the mean

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The standard deviation on a test was 12 points, and the mean [#permalink] New post 16 Oct 2017, 08:35
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80% (00:45) correct 20% (00:00) wrong based on 5 sessions
The standard deviation on a test was 12 points, and the mean was 70. If the scores fell along a normal distribution and student X scored 95 points, then student X scored higher than approximately what percent of students?

A. 2%
B. 13%
C. 48%
D. 96%
E. 98%


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Re: The standard deviation on a test was 12 points, and the mean [#permalink] New post 16 Oct 2017, 09:45
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Given the standard deviation of 12, 95 is more than 2sd above the mean since 70+12+12 = 94 < 95. Then, scoring 95 makes the student being above 50% of the people (the left half of the distribution) plus 34% (those within 1sd above) plus 14% (those within 1 and 2sd) which gives 98%.

Answer E
Re: The standard deviation on a test was 12 points, and the mean   [#permalink] 16 Oct 2017, 09:45
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The standard deviation on a test was 12 points, and the mean

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