Which has a better relative position: a score of 75

siutulysr5

siutulysr5

Answered question

2022-01-30

Which has a better relative position: a score of 75 on stats test with a mean of 60 and a standard deviation of 10 or a score of 36 on an accounting test with a mean of 30 and a variance of 16?

Answer & Explanation

Messiah Haynes

Messiah Haynes

Beginner2022-01-31Added 7 answers

Explanation:
You can think of the position of a score as "how many standard deviations the score is from the mean."
A score of X=75 from a distribution with mean 60 and s.d. 10 has a position of:
Xμσ=756010=1.5
So this score is 1.5 s.d.s

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