3. A soccer fan collected data on the number of minutes of league football, \(m\), played by each team in the four main divisions before first scoring a goal at the start of a new season. Her results are shown in the table below.
| \(m\) (minutes) | Number of teams |
| \(0 \leq m < 40\) | 36 |
| \(40 \leq m < 80\) | 28 |
| \(80 \leq m < 120\) | 10 |
| \(120 \leq m < 160\) | 4 |
| \(160 \leq m < 200\) | 5 |
| \(200 \leq m < 300\) | 4 |
| \(300 \leq m < 400\) | 2 |
| \(400 \leq m < 600\) | 3 |
- Calculate estimates of the mean and standard deviation of these data.
- Explain why the mean and standard deviation might not be the best summary statistics to use with these data.
- Suggest alternative summary statistics that would better represent these data.