A class of 40 students took a test. The scores are grouped as follows:

- $0\text{-}19$: 2 students
- $20\text{-}39$: 5 students
- $40\text{-}59$: 12 students
- $60\text{-}79$: 15 students
- $80\text{-}100$: 6 students

Assuming the scores in each interval are uniformly distributed, (a) estimate the mean score of the class, and (b) estimate the percentage of students who scored above the mean.

Question

A class of 40 students took a test. The scores are grouped as follows:

- $0\text{-}19$: 2 students
- $20\text{-}39$: 5 students
- $40\text{-}59$: 12 students
- $60\text{-}79$: 15 students
- $80\text{-}100$: 6 students

Assuming the scores in each interval are uniformly distributed, (a) estimate the mean score of the class, and (b) estimate the percentage of students who scored above the mean.

Accepted Answer

Mean ≈ 58.6; about 53.1% of students scored above the mean.

Neco 2022 Data Processing Question 38

Answer Options

About This Question

Master the Exam!