One hundred students took a statistics mid-term exam. The scores formed a normal distribution with a mean of 84 and a standard deviation of 6. Elice's grade was a 92. What was her approximate percentile rank?
A) 91st
B) 9th
C) 59th
D) 84th

Question

Quizplus · Accepted Answer

To find Elice's percentile rank, we need to find the percentage of students who scored lower than her. We can use the Z-score formula to standardize Elice's score: Z = (X - μ) / σ = (92 - 84) / 6 = 1.33. We can then use a Z-score table or calculator to find the percentage of students below a Z-score of 1.33, which is approximately 91%. Therefore, Elice's approximate percentile rank is 91st.

One Hundred Students Took a Statistics Mid-Term Exam