- Morgan is investigating the body length, \(b\) centimetres, of squirrels.
A random sample of 8 squirrels is taken and the data for each squirrel is coded using
$$x = \frac { b - 21 } { 2 }$$
The results for the coded data are summarised below
$$\sum x = - 1.2 \quad \sum x ^ { 2 } = 5.1$$
- Find the mean of \(b\)
- Find the standard deviation of \(b\)
A 9th squirrel is added to the sample. Given that for all 9 squirrels \(\sum x = 0\)
- find
- the body length of the 9th squirrel,
- the standard deviation of \(x\) for all 9 squirrels.