Simple question about averages

Question

I have got feedback from a survey where the range is 1-10, where:

10 = 0 total
9 =  0 total
8 = 0 total
7 = 3 total
6 = 5 total
5 = 2 total
4 = 3 total
3 = 1 total
2 = 0 total
1 = 0 total

I would like to work out the average from the range, how can I do this. Thanks

Answer 1

Let $u$ be the mean we are looking for. $u$ is found by summing the total number of points by the number of responses. $$ u = \frac{3(7)+6(5)+5(2)+4(3)+3(1)}{3+5+2+3+1} $$ $$ u = \frac{21+30+10+12+3}{14} $$ $$ u = \frac{61 + 12 + 3 }{14} = \frac{76}{14} $$ $$ u = \frac{34}{7} $$ $$ u \doteq 4.8571429 $$

I hope this helps.
Bob