Answer:
Sum of squares of differences = 11239.74
Step-by-step explanation:
We are given the following data set:
63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25, 93, 22, 90, 79
We have to calculate the sum of square of the data set.
Formula:
[tex]\text{Sum of square of differences} = \sum (x_i -\bar{x})^2[/tex]
where [tex]x_i[/tex] are data points, [tex]\bar{x}[/tex] is the mean and n is the number of observations.
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{962}{15} = 64.13[/tex]
Sum of squares of differences =
1.284444444 + 618.3511113 + 776.5511113 + 78.61777778 + 221.0177779 + 61.88444445 + 908.0177776 + 791.4844443 + 892.017778 + 1860.484444 + 1531.417778 + 833.2844446 + 1775.217777 + 669.0844446 + 221.0177779
= 11239.74
