Math, asked by jayakumarmch4493, 11 months ago

The mean of 16 numbers is 48. If each number is divided by 4 and diminished by 3, then the new mean is

Answers

Answered by gopalberma
0

Answer:

hu

let \: the \: numbers \: be \: x_{1} \: x_{2} \: x_{3} ..... x_{12}.letthenumbersbex

1

x

2

x

3

.....x

12

.

Total number = 12

Mean = 40

\begin{lgathered}\frac{sum \: of \: all \: observation}{total \: number \: of \: observation} = 40 \\ \\ \frac{x_{1} + x_{2} + x_{3} + .... + x_{12}}{12} = 40 \\ \\ x_{1} + x_{2} + x_{3} + .... + x_{12} = 40 \times 12 \\ \\ x_{1} + x_{2} + x_{3} + .... + x_{12} = 480\end{lgathered}

totalnumberofobservation

sumofallobservation

=40

12

x

1

+x

2

+x

3

+....+x

12

=40

x

1

+x

2

+x

3

+....+x

12

=40×12

x

1

+x

2

+x

3

+....+x

12

=480

Each number is divided by 8.

\begin{lgathered}new \: mean = \frac{new \: total \: marks}{new \:number \: of \: terms } \\ \\new \: mean = \frac{ \frac{x_{1} + x_{2} + x_{3} + .... + x_{12}}{8} }{12} \\ \\ new \: mean \: = \frac{x_{1} + x_{2} + x_{3} + .... + x_{12}}{12 \times 8} \\ \\ new \: mean = \frac{480}{96} \\ \\ new \: mean = 5\end{lgathered}

newmean=

newnumberofterms

newtotalmarks

newmean=

12

8

x

1

+x

2

+x

3

+....+x

12

newmean=

12×8

x

1

+x

2

+x

3

+....+x

12

newmean=

96

480

newmean=5

So, the new mean is 5 of the number after dividing them by 8 .

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