11. The mean of 12 numbers is 40. If each number is divided by 8, what will
be the mean of the new numbers?
Answers
Hi there!
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What is Mean?
The average of a given set of numbers is called the Arithmetic mean, or simply the mean, of the given numbers.
Mean =
\frac{Sum \: of \: observations }{Number \: of \: observations }
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For your solution to the given question refer to the attachment.
Thanks for the question!
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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
=
8×12
x
1
,x
2
,x
3
,.....,x
12
=
96
480
[usingi]
Hence, new mean =5.