Question

On an exam with μ = 52, you have a score of X = 56. Which of the following values for the standard deviation would give you the highest position in the class distribution?​ a. ​σ = 2 b. ​σ = 8 c. ​σ = 10 d. ​σ = 4

Answer 1

Answer:

​σ = 2 (option a)

Step-by-step explanation:

You would want the smallest standard deviation possible.

Think of it like this: if everyone, other than you, got only 50, 51, 52, 53 then you would be the ultimate highest position in the class.

As opposed to being an average position if the scores were about                      49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 ---your score would not put you in the highest position in the class distribution.

So, a standard deviation of ​σ = 2 would give you the highest position in the class distribution.