The average of $11$ results is $50$. If the average of the first six results is $49$ and that of the last six is $52$,the sixth result is:

The average of $7$ consecutive numbers is $20$. The largest of these numbers is

The average of certain first consecutive natural numbers is $20.5$. Find their sum.

The average of runs of a cricket player of $10$ innings was $32$. How many runs must he score in his next innings so as to increase his average of runs by $4$?

In a coconut grove,$(x+2)$ trees yield $60$ nuts per year,$x$ trees yield $120$ nuts per year,and $(x-2)$ trees yield $180$ nuts per year. If the average yield per year per tree is $100$,find the value of $x$.

In a match,the average of runs scored by five players is $49$. If the runs scored by four players are $75, 30, 63,$ and $21$ respectively,then how many runs did the fifth player score?