Eleanor scored 680 on the math portion of the SAT. The SAT had a mean math score of 515 ( = 515) and a standard deviation of 114 ( = 114). Gerald…

Eleanor scored 680 on the math portion of the SAT. The SAT had a mean math score of 515 (µ = 515) and a standard deviation of 114 (σ = 114).

Gerald took the ACT and scored a 27 on the math portion. The ACT had a mean math score of 21 (µ = 21) with a standard deviation of 5.1 (σ = 5.1).

Which student scored better with relation to the other students in the distribution?

Which data set is more variable with relation to the mean?

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