Hui-Hui has just received her scores on the Scholastic Achievement Test (SAT)and learns that her score was at the 84th percentile.Hui-Hui's score represents a standard score of ____.
A) +1
B) -1
C) +2
D) -2

Question

Quizplus · Accepted Answer

A score at the 84th percentile indicates that Hui-Hui scored higher than 84% of test-takers. To calculate the standard score, we use the formula:

Standard score = (percentile rank - 50) / 10

Plugging in Hui-Hui's percentile rank: 
Standard score = (84 - 50) / 10 
Standard score = 3.4/1 
Standard score = +3.4

Since this is a high positive score, the closest option is A (+1).

Hui-Hui Has Just Received Her Scores on the Scholastic Achievement