What is the value of SS (sum of squared deviations)for the following set of scores? If the scores constitute a population,what is the population standard deviation,s? Scores: 1,1,4,0.
A)SS = 9 and s = 2
B)SS = 16 and s = 2
C)SS = 9 and s = 1.5
D)SS = 16 and s = 1.5

Question

What is the value of SS (sum of squared deviations)for the following set of scores? If the scores constitute a population,what is the population standard deviation,s? Scores: 1,1,4,0.​
A)​SS = 9 and s = 2
B)​SS = 16 and s = 2
C)​SS = 9 and s = 1.5
D)​SS = 16 and s = 1.5

Quizplus · Accepted Answer

To calculate SS, we need to first calculate the mean:

Mean = (1+1+4+0)/4 = 1.5

Then we can calculate the deviations of each score from the mean and square them:

(1-1.5)^2 = 0.25
(1-1.5)^2 = 0.25
(4-1.5)^2 = 4.25
(0-1.5)^2 = 2.25

SS = 0.25 + 0.25 + 4.25 + 2.25 = 9

To find the population standard deviation, we take the square root of the population variance, which is SS divided by N (since this is a population):

s = √(9/4) = 1.5

Therefore, choice C (SS = 9 and s = 1.5) is the correct answer.

What Is the Value of SS (Sum of Squared Deviations)for