Question

If sum of X=49, sum of X squared= 104 and N=30, what is SS total?

A. 4.97
B 23.97
C. 52.47
D. 311.53

Answer 1

To find the total sum of squares (SS Total), we use the following formula:

SS_Total = Σx² - (Σx)²/N

Here, Σx = 49, Σx² = 104 and N = 30.

First, we find the square of Σx:

(Σx)² = 49² = 2401.

Next, we divide this by N:

2401 / 30 = 80.0333.

Finally, we subtract this value from Σx²:

SS_Total = Σx² - (Σx)²/N
= 104 - 80.0333
= 23.9667.

So, the total sum of squares is approximately 23.9667. Looking at the options provided, the answer is closest to B, 23.97.