The 12 observations below represent peak particulate matter

The 12 observations below represent peak particulate matter measurements from various sites across the US in units of g/m3 . 30, 45, 22, 51, 24, 48, 28, 33, 79, 24, 45, 31 Could a normal probability model be used to anticipate peak particulate values in the future? If not, how might you find a more suitable distribution to use? Optional: verify your answers using Minitab.

Solution

Since the mean of the data given is 38.33 Using excel =AVERAGE(D1:D12)

And the medain is 32 while the mode is 45.

So for the data normal probability model can not be used