If the average of m numbers is n^{2} and that | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The sum of $m$ numbers is given by $	ext{Average} 	imes 	ext{Count} = n^{2} 	imes m = mn^{2}$.The sum of $n$ numbers is given by $	ext{Averag

Vedclass · Accepted Answer

$mn$

Vedclass · Answer

(C) The sum of $m$ numbers is given by $	ext{Average} 	imes 	ext{Count} = n^{2} 	imes m = mn^{2}$.The sum of $n$ numbers is given by $	ext{Average} 	imes 	ext{Count} = m^{2} 	imes n = nm^{2}$.The total sum of $(m + n)$ numbers is $mn^{2} + nm^{2}$.The average of $(m + n)$ numbers is $\frac{	ext{Total Sum}}{	ext{Total Count}} = \frac{mn^{2} + nm^{2}}{m + n}$.Factoring out $mn$ from the numerator,we get $\frac{mn(n + m)}{m + n}$.Since $(n + m) = (m + n)$,they cancel out,leaving the result as $mn$.

If the average of $m$ numbers is $n^{2}$ and that of $n$ numbers is $m^{2},$ then the average of $(m + n)$ numbers is

Similar Questions

The average of marks obtained by $120$ candidates was $35.$ If the average of marks of passed candidates was $39$ and that of failed candidates was $15,$ the number of candidates who passed the examination is

The average weight of five persons sitting in a boat is $38\, kg$. The average weight of the boat and the persons sitting in the boat is $52\, kg$. What is the weight of the boat (in $kg$)?

Five years ago,the average age of $P$ and $Q$ was $15 \text{ years}$. Now,the average age of $P$,$Q$,and $R$ is $20 \text{ years}$. What will be the age of $R$ after $10 \text{ years}$?

$A$ student was asked to find the arithmetic mean of the numbers $3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14$ and $x$. He found the mean to be $12$. What should be the number in place of $x$?

$A$ batsman scores $87$ runs in the $21^{st}$ match of his career. His average runs per match increase by $2.$ What is his average before the $21^{st}$ match?

Vedclass Test Series

Exam Paper Generator

Online Exam Module