Statistics questions

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Tbyqvr

Mathematics

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a: top 6% of scores b: scores below top 6% and above the bottom 63% c: scores below the top 37% and above the bottom 21% d: scores below top 79% and above the bottom 8% f: bottom 8% of scores mean is 73 standard deviation of 8.4 find the limits for B

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Explanation & Answer

A  top 6%

B top 37% to top 6%

C top 79% to top 37%

D top 92% to top 79%

F Bottom 8%

Top 6 % cut off   1.554773595 =1.55

Top 37 % cut off 0.331853346= 0.33

Mean = 73 sigma = 8.4

Upper cut off for B is 73 +8.4*1.55 =73+13.02= 86.02

Lower cut off for B is 73 +8.4*0.33= 73+2.77 = 75.77

Limits for B grade 75.77 to 86.02


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