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Armando is filling out a college application that requires he supply either his SAT math score or his ACT math score. Armando scored 610 on the SAT math and 27 on the ACT math. Which score should Armando report, given that the mean SAT math score is 515 with standard deviation of 114, and the mean ACT math score is 21.0 with a standard deviation of 5.1? Why?

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Answer:

ACT score

It has a higher standardized score than his SAT

Step-by-step explanation:

Obtain the standardized score for both SAT and ACT

SAT:

Mean = 515

Standard deviation = 115

Score (x) = 610

ACT:

Mean = 21

Standard deviation = 5.1

Score (x) = 27

ZSCORE for SAT:

Zscore = (x - mean) / standard deviation

Zscore = (610 - 515) / 115

Zscore = 0.826

ZSCORE for ACT:

Zscore = (x - mean) / standard deviation

Zscore = (27 - 21) / 5.1

Zscore = 1.176

He should use his ACT score has it has a higher standard score than his SAT score. Hence, his ACT score weighs higher Than his SAT score

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