Question

The table shows the number of points scored by the winning men's jumping competition during the Olympics from 1980 to 2000. After the 2000 Olympics, the mean number of points scored by all winners since 1980 (inclusive) was 241.9. Which of the following choices must have been the winning number of points in 1992?

Answer 1

A.
217.5
B.
222.8
C.
243.1
D.
248.4

Answer 2

Hi luckyz, and welcome to QuestionCove!
So we have data from 6 years, and we know that the average of all 6 years is 241.9
Now, when we calculate an average we take the total amount divided by the number of samples. In this case, our sample is 6 because we have data from 6 years.
We can do the reverse to find the total number of points, by multiplying the average by the sample size.
What do we get if we multiply 241.9 by 6?

Answer 3

can i just get the answer

Answer 4

248.4

Answer 5

Yeah I suppose so.
To get the value of the missing year, multiply 6 by 241.9
That gives you 1451.4
Then you subtract from that the value of all the years you do know
1451.4 - 266.3 - 215.2 - 230.5 - 282.0 - 234.6
And the final answer happens to by 222.8