The given table shows the number of people in different age groups. Find the mean age of the given number of people.
| Class interval of age (in years) | Number of people (f) |
| 25-29 | 10 |
| 30-34 | 12 |
| 35-39 | 8 |
| 40-44 | 5 |
| 45-49 | 15 |
| 50--54 | 10 |
| 55-59 | 15 |
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 43.2 years.
| Class | Midpoint (x) | Frequency (f) | fx |
|---|---|---|---|
| 25-29 | 27 | 10 | 270 |
| 30-34 | 32 | 12 | 384 |
| 35-39 | 37 | 8 | 296 |
| 40-44 | 42 | 5 | 210 |
| 45-49 | 47 | 15 | 705 |
| 50-54 | 52 | 10 | 520 |
| 55-59 | 57 | 15 | 855 |
Total frequency (N) = 10 + 12 + 8 + 5 + 15 + 10 + 15 = 75
Sum of fx = 270 + 384 + 296 + 210 + 705 + 520 + 855 = 3240
Mean = 3240/75 = 43.2 years