Stacy took a math test whose mean was 70 and standard deviation was 5.The total points possible was 100.Stacey's results were reported to be at the 95th percentile.What was Stacey's actual exam score,rounded to the nearest whole number?
A)95
B)78
C)75
D)62

Question

Quizplus · Accepted Answer

Using the 68-95-99.7 rule (or empirical rule), a score at the 95th percentile falls approximately 2 standard deviations above the mean. Therefore, Stacey's score = mean + (2 * standard deviation) = 70 + (2 * 5) = 80. Rounded to the nearest whole number, the closest option is 78.

Stacy Took a Math Test Whose Mean Was 70 and Standard