The table below summarises the monthly salary of 100 workers in a company.
| Monthly Salary (\(m\) thousand dollars) | \(4\leq m<4.5\) | \(4.5\leq m<5\) | \(5\leq m<5.5\) | \(5.5\leq m<6\) | \(6\leq m<6.5\) |
|---|
| Frequency | \(15\) | \(29\) | \(12\) | \(34\) | \(10\) |
Calculate an estimate of the mean monthly salary.[1]
Calculate an estimate of the standard deviation of the monthly salary.[1]
A financial crisis occurred and there was a rebalancing of salaries to support some workers. Workers earning less than \(5000 will receive an increment of $300. Workers earning between \)5000 (inclusive) and \(5500 (exclusive) will keep their current salary. Workers earning \)5500 or more will receive a pay cut of $300. Explain how this rebalancing affects the mean and the standard deviation of the salaries.[2]