1 The hourly wages, \(\pounds x\), of a random sample of 60 employees working for a company are summarised as follows.
$$n = 60 \quad \sum x = 759.00 \quad \sum x ^ { 2 } = 11736.59$$
- Calculate the mean and standard deviation of \(x\).
- The workers are offered a wage increase of \(2 \%\). Use your answers to part (i) to deduce the new mean and standard deviation of the hourly wages after this increase.
- As an alternative the workers are offered a wage increase of 25 p per hour. Write down the new mean and standard deviation of the hourly wages after this 25p increase.