Score (x)
0
1
2
3
4
5
6
Freq (f)
5
7
3
7
11
6
7
Find the variance
A
3.42
B
4.69
C
4.85
D
3.72
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
x
f
fx
(x - \(\bar{x}\))
(x - \(\bar{x}\))\(^2\)
f(x - \(\bar{x}\))\(^2\)
0
5
0
-3.26
10.628
53.14
1
7
7
-2.26
5.108
35.756
2
3
6
-1.26
1.588
4.764
3
7
21
-0.26
0.068
0.476
4
11
44
0.74
0.548
6.028
5
6
30
1.74
3.028
18.168
6
7
42
2.74
7.508
52.556
46
150
170.888
Variance = \(\frac{\sum f(x - \bar{x})}{\sum f}\)
= \(\frac{170.888}{46}\)
= 3.72
Source: Myschool Past Questions Archive (Record #54971)