2. A rugby club coach uses club records to take a random sample of 15 players from 1990 and an independent random sample of 15 players from 2010. The body weight of each player was recorded to the nearest kg and the results from 2010 are summarised in the table below.
| Body weight (kg) | 75-79 | 80-84 | 85-89 | 90-94 | 95-99 | 100-104 | 105-109 |
| Number of Players (2010) | 1 | 2 | 2 | 4 | 3 | 2 | 1 |
- Find the estimated values in kg of the summary statistics \(a\), \(b\) and \(c\) in the table below.
| Estimate in 1990 | Estimate in 2010 |
| Mean | 83.0 | \(a\) |
| Median | 82.0 | \(b\) |
| Variance | 44.0 | \(c\) |
- Using the table in part (a), comment on the rugby coach's claim.
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