4. The ages of 300 houses in a village are recorded giving the following table of results.
| Age (years) | Number of houses |
| 0 - | 36 |
| 20 - | 92 |
| 40 - | 74 |
| 60 - | 39 |
| 100 - | 14 |
| 200 - | 27 |
| 300-500 | 18 |
Use linear interpolation to estimate for these data
- the median,
- the limits between which the middle \(80 \%\) of the ages lie.
An estimate of the mean of these data is calculated to be 86.6 years.
- Explain why the mean and median are so different and hence say which you consider best represents the data.