In 2013, when she was a high school senior, Idonna scored 670 on the mathematics
ID: 3022865 • Letter: I
Question
In 2013, when she was a high school senior, Idonna scored 670 on the mathematics part of the SAT.5 The distribution of SAT math scores in 2013 was Normal with mean 514 and standard deviation 118. Jonathan took the ACT and scored 26 on the mathematics portion. ACT math scores for 2013 were Normally distributed with mean 20.9 and standard deviation 5.3.
What is Idonna's standardized score? Round your answer to 2 decimal places.
What is Jonathan's standardized score? Round your answer to 2 decimal places.
Assuming that both tests measure the same kind of ability, who has the higher score? (A. Jonathan B. Idonna C. They both did equally well)
Explanation / Answer
What is Idonna's standardized score? Round your answer to 2 decimal places.
As
z = (x- u)/sigma
Then using u and sigma for SAT scores, for x = 670,
z = (670 - 514)/118 = 1.32 [ANSWER]
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What is Jonathan's standardized score? Round your answer to 2 decimal places.
As
z = (x- u)/sigma
Then using u and sigma for ACT scores, for x = 26,
z = (26 - 20.9)/5.3 = 0.96 [ANSWER]
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Assuming that both tests measure the same kind of ability, who has the higher score?
OPTION B: IDONNA [ANSWER]
Because she has a higher z score.
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