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The following graph shows the normal distribution of the results of an algebra test a class of 22 students took.
The median of the results was 80 points out of 100, with a standard deviation of 6 points.
Which of the following numbers is closest to the number of students that got more than 86 but less than 92 points?
1
3
7
9

The following graph shows the normal distribution of the results of an algebra test a class of 22 students took The median of the results was 80 points out of 1 class=

Respuesta :

Blitztiger
The score of 86 is equal to a z-score of (86 - 80)/6 = 1. The score of 92 is equivalent to (92 - 80)/6 = 2. This falls within the +1sigma to +2sigma, which has 13.59% under that range. Since there are 22 students in total:
(0.1359)(22) ~ 3 students
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