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Find the mean of the distribution
Class 1-3 3-5 5-7 7-10
Frequency 9 22 27 17
Solution:
Given, the above data represents the class and frequency.
We have to find the mean of the distribution.
| Class | Frequency (f) | Midpoint x | f × x |
| 1 - 3 | 9 | 2 | 18 |
| 3 - 5 | 22 | 4 | 88 |
| 5 - 7 | 27 | 6 | 162 |
| 7 - 10 | 17 | 8.5 | 144.5 |
| Total | ∑f = 75 | ∑fx = 412.5 |
By direct method,
Mean = ∑fx / ∑f
From the table,
Mean = 412.5/75
= 5.5
Therefore, the mean is 5.5
✦ Try This: Find the mean of the distribution:
| Class | 1-3 | 3-5 | 5-7 | 7-10 |
| Frequency | 7 | 19 | 25 | 14 |
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14
NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 1
Find the mean of the distribution Class 1-3 3-5 5-7 7-10 Frequency 9 22 27 17
Summary:
The mean of the distribution is 5.5
☛ Related Questions:
- Calculate the mean of the scores of 20 students in a mathematics test Marks 10-20 20-30 30-40 40-50 . . . .
- Calculate the mean of the following data Class 4-7 8-11 12-15 16-19 Frequency 5 4 9 10
- The following table gives the number of pages written by Sarika for completing her own book for 30 d . . . .
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