Answer: 3.14 (choice C)
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Explanation:
First we need the arithmetic mean
Add up the values to get 1+2+4+4+5+6+6 = 28
Divide this over the number of values (n = 7) to get 28/n = 28/7 = 4
The mean is 4.
Next, we subtract the mean from each data value and square the difference
- (1-4)^2 = 9
- (2-4)^2 = 4
- (4-4)^2 = 0
- (4-4)^2 = 0
- (5-4)^2 = 1
- (6-4)^2 = 4
- (6-4)^2 = 4
Add up those results: 9+4+0+0+1+4+4 = 22
Lastly, we divide over the number of items (n = 7) to get the population variance: 22/n = 22/7 = 3.14 approximately
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Side note:
If you wanted the sample variance, then you divide over n-1 = 7-1 = 6
22/(n-1) = 22/6 = 3.67 is the approximate sample variance
