Answer:

aap ki pic dekao pls

Explanation:

The mean of 10 of them is 15 and the mean of 20 of them is 11.

The last two numbers are 10.

To Find :-

What is the mean of the 32 numbers.

Formula Used :-

\clubsuit♣ Mean Formula :

\begin{GATHERED}\longmapsto \sf\boxed{\bold{\pink{Mean =\: \dfrac{Sum\: of\: OBSERVATIONS}{TOTAL\: number\: of\: Observations}}}}\\\end{gathered}

⟼

Mean=

TotalnumberofObservations

SumofObservations

SOLUTION :-

First, we have to find the sum of observations of 10 number :

Given :

Mean = 15

Total number of observations = 10

According to the question by using the formula we get,

\implies \sf 15 =\: \dfrac{Sum\: of\: Observations}{10}⟹15=

10

SumofObservations

By doing cross multiplication we get,

\implies \sf Sum\: of\: observations =\: 10(15)⟹Sumofobservations=10(15)

\begin{gathered}\implies \sf Sum\: of\: observations =\: 10 \times 15\\\end{gathered}

⟹Sumofobservations=10×15

\begin{gathered}\implies \sf\bold{\green{Sum\: of\: observations =\: 150}}\\\end{gathered}

⟹Sumofobservations=150

Hence, the sum of observations is 150.

Again, we have to find the sum of observations of 20 number:

Given :

Mean = 11

Total number of observations = 20

According to the question by using the formula we get,

\implies \sf 11 =\: \dfrac{Sum\: of\: Observations}{20}⟹11=

20

SumofObservations

By doing cross multiplication we get,

\implies \sf Sum\: of\: observations =\: 20(11)⟹Sumofobservations=20(11)

\implies \sf Sum\: of\: observations =\: 20 \times 11⟹Sumofobservations=20×11

\implies\sf\bold{\green{Sum\: of\: observations =\: 220}}⟹Sumofobservations=220

Now, we have to find the sum of observations 32 numbers:

\begin{gathered}\implies \sf Sum\: of\: observations =\: 150 + 220 + 10 + 10\\\end{gathered}

⟹Sumofobservations=150+220+10+10

\begin{gathered}\implies \sf Sum\: of\: observations =\: 370 + 20\\\end{gathered}

⟹Sumofobservations=370+20

\implies \sf\bold{\purple{Sum\: of\: observations =\: 390}}⟹Sumofobservations=390

Now, we have to find the mean of the 32 numbers:

Given :

Sum of observations = 390

Total number of observations = 32

According to the question by using the formula we get,

\implies \sf Mean =\: \dfrac{\CANCEL{390}}{\cancel{32}}⟹Mean=

32

390

\implies \sf Mean =\: \dfrac{\cancel{195}}{\cancel{16}}⟹Mean=

16

195

\implies \sf \bold{\red{Mean =\: 12.1875}}⟹Mean=12.1875

\therefore∴ The mean of the 32 numbers is 12.1875.