- Ming is studying the large data set for Perth in 2015
He intended to use all the data available to find summary statistics for the Daily Mean Air Temperature, \(x { } ^ { \circ } \mathrm { C }\).
Unfortunately, Ming selected an incorrect variable on the spreadsheet.
This incorrect variable gave a mean of 5.3 and a standard deviation of 12.4
- Using your knowledge of the large data set, suggest which variable Ming selected.
The correct values for the Daily Mean Air Temperature are summarised as
$$n = 184 \quad \sum x = 2801.2 \quad \sum x ^ { 2 } = 44695.4$$
- Calculate the mean and standard deviation for these data.
One of the months from the large data set for Perth in 2015 has
- mean \(\bar { X } = 19.4\)
- standard deviation \(\sigma _ { x } = 2.83\)
for Daily Mean Air Temperature. - Suggest, giving a reason, a month these data may have come from.