(i)
Class interval: | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 | 70 – 80 |
Frequency: | 5 | 8 | 7 | 12 | 28 | 20 | 10 | 10 |
Solution
Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied.
Class interval: | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 | 70 – 80 |
Frequency: | 5 | 8 | 7 | 12 | 28 | 20 | 10 | 10 |
It’s seen that the maximum frequency is .
So, the corresponding class i.e., is the modal class.
And,
Using the formula for finding mode, we get
(ii)
Class interval | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 |
Frequency | 30 | 45 | 75 | 35 | 25 | 15 |
Solution:
Class interval | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 |
Frequency | 30 | 45 | 75 | 35 | 25 | 15 |
It’s seen that the maximum frequency is
So, the corresponding class i.e., is the modal class.
And,
Using the formula for finding mode, we get
(iii)
Class interval | 25 – 30 | 30 – 35 | 35 – 40 | 40 – 45 | 45 – 50 | 50 – 55 |
Frequency | 25 | 34 | 50 | 42 | 38 | 14 |
Solution:
Class interval | 25 – 30 | 30 – 35 | 35 – 40 | 40 – 45 | 45 – 50 | 50 – 55 |
Frequency | 25 | 34 | 50 | 42 | 38 | 14 |
It’s seen that the maximum frequency is .
So, the corresponding class i.e., is the modal class.
And,
Using the formula for finding mode, we get