The mean temperature in collingwood is normally distributed and is 21.7 degrees. In, July with a standarad deviation of 3.1 degrees. If y your friend spent the

Question

If you friend spent the weekend and said it was more than 30 degrees would you believe him. Explain 

Answer 1

Based on statistics, 68% of data will fall within one deviation, so you can say it would be a 68% chance that the temperature would be between 18.6 and 24.8 degrees.

 

95% of the data falls within two deviations, or 15.5 - 27.9 degrees

The third deviation covers 4.7% of the remaining data which would be from 12.4 - 15.5 and 27.9 - 31 degrees.

The rest of it falls on the outliers of .3%

 

So your friend's claim happens on 4.7% of the days, and of those, half are on the lower end of the deviation and half on the higher end, meaning really he is claiming something that happens on 2.35% of days.  

 

It is unlikely he is telling you the truth, especially for two days in a row, but it's possible.