If you have a score of X = 66 on an exam with μ = 70,you should expect a better grade if σ = 10 than if σ = 5.

Question

If you have a score of X = 66 on an exam with μ = 70,you should expect a better grade if σ = 10 than if σ = 5.​

Quizplus · Accepted Answer

A larger standard deviation (σ = 10) indicates that scores are more spread out, so a score of 66 is closer to the mean (μ = 70) in terms of standard deviations, potentially resulting in a better grade compared to a smaller standard deviation (σ = 5) where the same score would be further from the mean.

If You Have a Score of X = 66 on an Exam