PRACTICAL
EXERCISE -5
Computation
of non-central moments central moments β1,
β2
and Sheppard’s corrections
1. Calculate the first four moments of the following
distribution about the mean and hence find β1
and β2
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
f |
1 |
8 |
28 |
56 |
70 |
56 |
28 |
8 |
1 |
2. Calculate
first four moments about the mean of the frequency distribution given below and
also apply Sheppard’s corrections.
|
3-6 |
6-9 |
9-12 |
12-15 |
15-18 |
|
|
No. of
families |
28 |
292 |
389 |
212 |
99 |
3. Find the first four central moments of the
frequency distribution given below and also apply Sheppard’s corrections.
|
Class Limits |
Frequency |
|
110-114 |
5 |
|
115-119 |
15 |
|
120-124 |
20 |
|
125-129 |
35 |
|
130-134 |
10 |
|
135-135 |
10 |
|
140-140 |
5 |
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