PRACTICAL
EXERCISE -6
COMPUTATION
OF KARL PEARSON’S COEFFICIENT OF SKEWNESS AND BOWLEY’S COFFICIENT OF SKEWNESS
1. Obtain Karl Pearson’s
measure of skewness for the following data
|
Value |
Frequency |
|
5-10 |
6 |
|
10-15 |
8 |
|
15-20 |
17 |
|
20-25 |
21 |
|
25-30 |
15 |
|
30-35 |
11 |
|
35-40 |
2 |
2. Assume that a
firm has selected a random sample of 100 from its production line and has
obtain the data in the table below:
|
Class
Interval |
Frequency |
|
130-134 |
3 |
|
135-139 |
12 |
|
140-144 |
21 |
|
145-149 |
28 |
|
150-154 |
19 |
|
155-159 |
12 |
|
160-164 |
5 |
Compute the (a).
Karl Pearson’s coefficient of skewness (b). Bowley’s coefficient of skewness.
3. For the
frequency distribution given below, calculate the coefficient of skewness based
on quartiles.
|
Annual
sales |
No. of
Firms |
|
Less than 20 |
30 |
|
Less than 30 |
225 |
|
Less than 40 |
465 |
|
Less than 50 |
580 |
|
Less than 60 |
634 |
|
Less than 70 |
644 |
|
Less than 80 |
650 |
|
Less than 90 |
665 |
|
Less than 100 |
680 |
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