The mean of 12 numbers is 401f each number is divided b
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The mean of 12 numbers is 40.1f each number is divided by 8, what will be the mean of the new numbers?
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Right Answer is:
SOLUTION
ANSWER:
Let the numbers be x 1 , x 2 ,...x 12 .
We know:
Mean =Sum of observations / Number of observations
Thus, we have:
40 = (x1+x2+....+x12)/12
⇒ x1+x2+....+x/12=480 .....i
After division, the numbers become:
x1/8 , x2/8 , ........ , x12/8
∴New mean = {x1/8+x2/8+....+x12/8}/12
= (x1+x2+...+x12)/12×8
= (x1+x2+...+x12)/96= 480/96 From (i)
=5