|
Group A |
Group B |
|||||||
|
f i |
f i y i |
f i y i2 |
f i |
f i y i |
f i y i2 |
|||
|
10-20 |
15 |
-3 |
9 |
-27 |
81 |
10 |
-54 |
162 |
|
20-30 |
25 |
-2 |
17 |
-34 |
68 |
20 |
-44 |
88 |
|
30-40 |
35 |
-1 |
32 |
-32 |
32 |
30 |
-40 |
40 |
|
40-50 |
45 =A |
0 |
33 |
0 |
0 |
25 |
0 |
0 |
|
50-60 |
55 |
1 |
40 |
40 |
40 |
43 |
32 |
32 |
|
60-70 |
65 |
2 |
10 |
20 |
40 |
15 |
16 |
32 |
|
70-80 |
75 |
3 |
9 |
7 |
81 |
7 |
6 |
18 |
|
Total |
150 |
-6 |
342 |
150 |
-6 |
366 |
Group A
Variance (σ 2) = h2[
- 
] = (10)2[
] = 100[ 2.28 – 0.0016] = 100 × 2.2784 = 227.84
Group B
Variance (σ 2) = h2[ - ] = (10)2[
] = 100[ 2.44 – 0.0016] = 243.84
Since variance for Group B is more than Group A. Therefore group B is more variable than A.
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