Question
With the help of following data calculate mode:
|
Class Interval |
0-5 |
5-10 |
10-15 |
15-20 |
20-25 |
25-30 |
30-35 |
35-40 |
40-45 |
|
Frequency |
6 |
20 |
32 |
10 |
25 |
30 |
28 |
20 |
15 |
Solution
By inspection we come to know that 10 -15 class interval is Modal class, because it has the highest frequency (32). But the frequencies immediately after this class interval the frequency is very low. Hence the modal class will be determined with the help of grouping table.
Grouping Table
Analysis Table
|
Col. No. |
0-5 |
5-10 |
10-15 |
15-20 |
20-25 |
25-30 |
30-35 |
35-40 |
40-45 |
|
I II III IV V VI |
✓ |
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✓ |
✓ |
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✓ |
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✓ |
✓ |
✓ |
✓ |
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✓ |
✓ |
✓ |
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✓ |
✓ |
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Total |
— |
— |
1 |
1 |
3 |
5 |
3 |
— |
— |
From the table we come to know that modal class is 25-30. Now we shall calculate the mode with the help of following formula :
