What is the value of SS (sum of squared deviations)for the following sample? Sample: 1,1,1,3
A)0
B)1
C)3
D)12

Question

What is the value of SS (sum of squared deviations)for the following sample? Sample: 1,1,1,3​
A)​0
B)​1
C)​3
D)​12

Quizplus · Accepted Answer

To find SS, we need to calculate the deviation of each score from the mean, square each deviation, and then sum up the squared deviations.

The mean of the sample is (1 + 1 + 1 + 3) / 4 = 1.5.

The deviations from the mean are:

-0.5, -0.5, -0.5, 1.5

Squaring each deviation gives:

0.25, 0.25, 0.25, 2.25

Summing up the squared deviations gives:

0.25 + 0.25 + 0.25 + 2.25 = 3

Therefore, the value of SS for this sample is 3. Choice C is the correct answer.

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