Amitha H. answered • 07/24/19

Neuroscience Undergrad, Taught at Kumon, Scored 800 in SAT Math

Hi Alyssa,

This statistics question involves a formula, called the z-score, which is basically a standardized score for the number of standard deviations away from the mean a data point is.

The z-score formula is z= (x-u)/s

where z is the standardized score, x is the data point you are measuring, u is the mean, and s is the standard deviation.

For Eleanor, that would be z= (680-555)/79, which is ~1.58.

For Gerald, that would be z=(27-21.9)/3.3, which is ~1.55

Eleanor is further away from the mean on the positive end of the normal curve than Gerald, so Eleanor has the higher score.