-1

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

bobo2000
  • 97
  • 2
  • Just divide the total points by the number of respondents. – lulu Dec 10 '18 at 14:13
  • 1
    $\frac{21+30+10+12+3}{14}=\frac{76}{14}$? – user614287 Dec 10 '18 at 14:14
  • Add the total number of points and divide by the number of responses. – Sean Roberson Dec 10 '18 at 14:14
  • so if 2 people scored 2, will it be 2+2 = 4? – bobo2000 Dec 10 '18 at 14:15
  • That's the total number of points, but you still must divide by the number of respondents. (Note: it should be clear to you that the average response can not be greater than all the responses. Also, if every response is $N$ then the average response is surely $N$). – lulu Dec 10 '18 at 14:16
  • You should hopefully understand why "The average of $1,3,5,7$ is $\frac{1+3+5+7}{4}$." For your problem, it might help to instead of thinking of it listed as you had originally to instead think of the problem of finding the average of $7,7,7,6,6,6,6,6,5,5,4,4,4,3$. You do it in the same way as before, by adding each and dividing by the total number of datapoints. The only difference between the two problems is how the information is presented. – JMoravitz Dec 10 '18 at 14:54

1 Answers1

0

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

Bob
  • 3,954