In a class test,Keith,Ethan,Hannah,and Taylor score 5,6,2,and 3 respectively.The mean of these scores is 4.Therefore,the standard deviation of their scores is approximately:

Question

Quizplus · Accepted Answer

To calculate the standard deviation, we need to first calculate the variance, which is the average of the squared differences from the mean.

Variance = [(5-4)^2 + (6-4)^2 + (2-4)^2 + (3-4)^2]/4
Variance = (1 + 4 + 4 + 1)/4
Variance = 2.5

Then, we take the square root of the variance to get the standard deviation:

Standard deviation = sqrt(2.5)
Standard deviation ≈ 1.58

Therefore, the closest option is C) 1.82.

In a Class Test,Keith,Ethan,Hannah,and Taylor Score 5,6,2,and 3 Respectively