F.5 dispersion

2011-03-08 3:07 am
the standard score of Linda in a maths test is 1.0. Given that the
marks obtained by the students in this test are normally distributed,find
the percentage of students whose marks are lower than Linda.
ans: 84%
pls show clear steps!

回答 (1)

2011-03-08 3:50 am
✔ 最佳答案

圖片參考:http://upload.wikimedia.org/wikipedia/commons/thumb/8/8c/Standard_deviation_diagram.svg/350px-Standard_deviation_diagram.svg.png


Let σ be the Standard Deviation :
L be the mark of Linda
X be the mean marks of students

Standard score = 1 ,
i.e.

(L - X) / σ = 1

L = X + σ



The required % = 50% + 34% = 84%



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