Find the sum of deviations of the variate values 3, 4, 6, 7, 8, 14 from
their mean.
 

 Their mean is (3+4+6+7+8+14)/6 = 7

Sum of deviations, without taking modulus, is obviously zero. But for actual mean deviation from the value, [(7-3) + (7-4) + (7-7) + (8-7) + (14-7)]/6 = 5/2

So on average the variates deviate by 2.5

i have asked my teacher told me that answer will be 0. but thanx for your answer. your answer is correct if we take modules.

 

hey i have not given you the thumbs down..
 

hey i have not given you the thumbs down..

 Yes, as I mentioned, sum of deviations without the modulus is clearly zero; else it would contradict the law of averages (you can refer to the topic in wikipedia 'law of averages').

It's alright, the thumbs ups and downs don't really matter. If you found the answer satisfactory, you give me an up - if not, you can give a thumbs down too :) The fact of the matter is, you should be able to understand my answer, and if not, my job is poorly done!

The variate values are:

3, 4, 6, 7, 8, 14

Mean is given by: 

Thus, .

Now, 

Sum of deviations of the variate values=

=

Therefore, the sum of deviations of the variate values is 1