Question 1016068
the representative temperature is the average, otherwise called the mean.


you need to calculate the mean.


then you need to calculate the variance.


if you need help with any of those, let me know and i'll go through it with you.


here's an example.


you have 3 temperatures.


they are 2,4,6


the representative temperature is (2 + 4 + 6) / 3 = 12/3 = 4


that's the average.


the variance is calculated as follows:


first you get the sum of squares.


that is each temperature subtracted from the mean and then squared.


in this example, you will get:


2 - 4 = (-2) squared = 4
4 - 4 = 0 squared = 0
6 - 4 = 2 squared = 4


sum of squares if 4 + 0 + 4 = 8


sum of squares divided by number of elements is the variance.


you will get variance = 8/3 = 2 and 2/3 = 2.666.... = 2.6667 rounded to 4 decimal places.


your representative temperature is 4.
your variance is 2.6667


your standard deviation is the square root of the variance.
you were not asked to give this, but you will eventually be asked to provide it.


in this example, the standard deviation is the square root of the variance which is the square root of (8/3) which is equal to 1.6330 rounded to 4 decimal places.