Multiple choice general knowledge science & technology

The exam scores of all 500 students were recorded and it was determined that these scores were normally distributed. If Jane's score is 0.8 standard deviation above the mean, then how many, to the nearest unit, students scored above Jane?

  1. 394

  2. 250

  3. 400

  4. 106
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A score 0.8 standard deviations above the mean corresponds to the 78.81st percentile. Therefore, about 21.19% of students scored above Jane. For 500 students: 500 × 0.2119 ≈ 106 students.

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