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

(B) The sum of $m$ numbers is given by $m 	imes n^{2} = mn^{2}$.The sum of $n$ numbers is given by $n 	imes m^{2} = nm^{2}$.The total sum of $(m + n

Vedclass · Accepted Answer

$mn$

Vedclass · Answer

(B) The sum of $m$ numbers is given by $m 	imes n^{2} = mn^{2}$.The sum of $n$ numbers is given by $n 	imes m^{2} = nm^{2}$.The total sum of $(m + n)$ numbers is $mn^{2} + nm^{2}$.The average of $(m + n)$ numbers is calculated as:$	ext{Average} = \frac{	ext{Total Sum}}{	ext{Total Count}} = \frac{mn^{2} + nm^{2}}{m + n}$.Factoring out $mn$ from the numerator:$	ext{Average} = \frac{mn(n + m)}{m + n}$.Since $(n + m) = (m + n)$,they cancel out:$	ext{Average} = 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 mean marks of $10$ boys in a class is $70 \%$,whereas the mean marks of $15$ girls is $60 \%$. The mean marks of all the $25$ students is

The average of five numbers is $6.9$. If one of the numbers is deleted,the average of the remaining numbers is $4.4$. What is the value of the number deleted?

The average monthly income of $P$ and $Q$ is $Rs. 5050$. The average monthly income of $Q$ and $R$ is $Rs. 6250$ and the average monthly income of $P$ and $R$ is $Rs. 5200$. The monthly income of $P$ is

The average salary of all the associates in a team is $Rs. 16000$. The average salary of $7$ senior associates is $Rs. 24000$ and the average salary of the rest is $Rs. 12000$. How many associates work in that team?

The average marks of a student obtained in Physics,Chemistry,and Biology is $70.$ If the student obtained $90$ marks in Mathematics,then the new average is

Vedclass Test Series

Exam Paper Generator

Online Exam Module