6. The table shows the distribution of the ages of a group of people in a village. Ages(in years) 15-18 19-22 23-26 27-30 31-34 35-38 Frequency 40 33 25 10 ...
Question 1 Report
6. The table shows the distribution of the ages of a group of people in a village.
| Ages(in years) | 15-18 | 19-22 | 23-26 | 27-30 | 31-34 | 35-38 |
| Frequency | 40 | 33 | 25 | 10 | 8 | 4 |
Using an assumed mean of 24.5. Calculate the mean distribution.
Answer Details
Assumed mean, Am = 24.5
| Ages | f | x | d = x - Am | fd |
| 15 - 18 | 40 | 16.5 | -8.0 | -320 |
| 19 - 22 | 33 | 20.5 | -4.0 | -132 |
| 23 - 26 | 25 | 24.5 | 0.0 | 0 |
| 27 - 30 | 10 | 28.5 | 4.0 | 40 |
| 31 - 34 | 8 | 32.5 | 8.0 | 64 |
| 35 - 38 | 4 | 36.5 | 12.0 | 48 |
| \(\sum\)f = 120 | \(\sum\)fd = - 300 |
Mean (\(\overline{x}\)) = Am + \(\frac{\sum fd}{\sum f}\) = 24.5 + \(\frac{(-300)}{120}\)
Mean (\(\overline{x}\)) = 24.5 - 2.5 = 22.0
Note:(x = sum of upper and lower limit divided by 2)
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