Imagine we have the following situation:
Worker 1: worked days: 20; total $ earned: 200; \$/day: 10\$/day
Worker 2: worked days: 30; total $ earned: 200; \$/day: 6.7\$/day
The average pay per day of the two workers is then 8.3\$/day, however on a website I found the following computation: 400\$/50days=8\$/day. Is it possible to reason in the latter way e.g. when we only have the totals and not each worker's daily average?
Thank u for any help
the average is a value that, substituted in the original data, ceteris paribus gives the same amount of expense, thus
$$20\times m+30\times m=200+200$$
that is
$$m=\frac{400}{50}=8$$
If you use your value you get that the total amount of expense is
$$20\times8.3+30\times8.3=415\ne400$$
thus your calculation is wrong.
A question... how did you get 8.3? doing an arithmetical mean you get $\frac{10+6.7}{2}=8.35$