Question

11. The mean of 12 numbers is 40. If each number is divided by 8, what will
be the mean of the new numbers?
​

Answer 1

Answer:

Hence, new mean =5.

Step-by-step explanation:

Mean of 12 numbers =40

Let The 12 numbers be x

1

,x

2

,x

3

,.....,x

12

12

x

1

,x

2

,x

3

,.....,x

12

=40

⇒x

1

,x

2

,x

3

,.....,x

12

=40×12=480−−(i)

Now, when each number is divided by 8 then new set of 12 numbers is

8

x

1

,

8

x

2

,

8

x

3

,.....,

8

x

12

So, new mean =

12

8

x

1

,

8

x

2

,

8

x

3

,.....,

8

x

12 =

8×12x 1,x 2

,x

3

,.....,x

12

=

96

480

[usingi]

Hence, new mean =5.

Answer 2

Answer:

new mean=5

Step-by-step explanation:

Mean=sum of numbers/numbers given

A.T.Q

40=sum of numbers/12

sum of numbers=40×12=480.

Each of the number is divided by 8.

So new sum of numbers=1/8×480=60.

Numbers given=12

New mean=60/12=5