Statistics questions

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a: top 7% of score b: scores below the top 7% and above the bottom 61% c: scores below the top 39 and above the bottom 16% d: scores below the top 84 and above them bottom 8% f: bottom 8% mean of 73.8 standard deviation of 8.6 find the limits of a C

Oct 20th, 2017

c: scores below the top 39% and above the bottom 16%  

mean of 73.8 standard deviation of 8.6 find the limits of a C


Answer:  

The bottom 16 % corresponds to an area of 0.16

calculating this z-score gives z = - 0.994458


The top 39 % corresponds to an area of (1 - 0.39) = 0.61

calculating this z-score gives z = 0.279319


x1 = (- 0.994458)(8.6) + 73.8 = 82.352

x2 = (0.279319)(8.6) + 73.8 = 76.202

Thus a C corresponds to a grade of x, such that...

76.2 < x < 82.4 



Mar 3rd, 2015

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