Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT m

Question

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 512 and standard deviation 89.

Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 19.2 and standard deviation 2.6.

What is Elanor's standardized score?

Round to 2 decimal places.

What is Gerald's standardized score?

Round to 2 decimal places.

Assuming that both tests measure the same kind of ability, who has the higher score?

Gerald.

Elanor.

They both did equally well.

Explanation / Answer

Standardized score = (score - mean)/standard deviation

a) Elanor's standardized score = (680 -512) / 89 = 1.89

b) Gerald's standardized score = (27 - 19.2) / 2.6 = 3

C) Option-A) Gerald has the higher score

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