Question

The arithmetic mean of 100 observations is 24. If 6 is added to each of the observations and then
each of them is multiplied by 2.5, find the new arithmetic mean.​

Answer 1

Answer:

when 6 added to each

then

the mean observation is106

when multiply by 2.5

then

new mean=106×2.5

=265

ans

Answer 2

Answer:

75

Step-by-step explanation:

$mean \: = \: \frac{sum \: of \: all \: observations}{total \: number \: of \: observations }$

$24 = \frac{sum \: of \: all \: observations}{100}$

$sum \: ofall \: observations \: = 24 \times 100 = 2400$

when 6 is added to each number -

sum of all observations = 2400+600=3000

now after multiplying every number by 2.5

sum of all observations = 3000×2.5 = 7500

$mean \: = \frac{7500}{100} = 75$

therefore the new mean is 75