A set of eight observations on the daily high temperature (in °C) of a city during one week plus one extra day is:
35, 42, 37, 38, 40, 43, 45, 39.
Answer the following:
(i) Find the arithmetic mean of the data.
(ii) Using the deviations from the mean, calculate the variance of the data correct to two decimal places.
(iii) Hence determine the standard deviation, rounding your answer to two decimal places.