The variance of the scores 1, 2, 3, 4, 5 is
A
1, 2
B
1, 4
C
2.0
D
3.0
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(x\)
1
2
3
4
5
sum =15
\(x - \bar{x}\)
-2
-1
0
1
2
\((x - \bar{x})^{2}\)
4
1
0
1
4
10
Mean = \(\frac{15}{5} = 3\)
\(Variance = \frac{\sum (x - \bar{x})^{2}}{n}\)
= \(\frac{10}{5}\)
= \(2.0\)
Source: Myschool Past Questions Archive (Record #30947)