Question

The mean of 100numbers is 112.5if each number is multiplied by 2 then find the new mean

Answer 1

Answer:

Step-by-step explanation:

Let the sum of all observation be x.

Mean = Sum of all the observations/

Total number of observations

112.5 = x/100

112.5*100 = x

11250 = x

If each number is multiplied by 2, then 11250*2 = 22500

New mean = 22500/100

= 225

Answer 2

The new mean is 225

Step-by-step explanation:

$Average = \frac{\text{Sum of observations}}{\text{No. of observations}}$

We are given that The mean of 100 numbers is 112.5

$112.5= \frac{\text{Sum of 100 numbers}}{100}$

$112.5 \times 100= \text{Sum of 100 numbers}$

$11250= \text{Sum of 100 numbers}$

each number is multiplied by 2

So, $Average = \frac{2(\text{Sum of 100 observations})}{100}$

$Average = \frac{2(11250)}{100}$

$Average = 225$

Hence the new mean is 225

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