Question

The mean of 68 numbers is 18. If each number is divided by 6, find the new mean. Find the relation between the new mean and the old mean​

Answer 1

$= new \: mean = \frac{old \: mean}{6} \\ = new \: mean = \frac{18}{6} \\ = new \: mean \: will \: be \: 3$

Answer 2

New mean is less than the old mean.

Step-by-step explanation:

$\textrm{Mean } = \frac{\textrm{Sum of all observations}}{\textrm{Number of Observations}}$

Now, mean of 68 numbers is 18.

⇒  ${68} = \frac{\textrm{Sum of all observations}}{18}$

So, sum of 18 numbers = 68 x 18 = 1224

Now, each number is divided by 6 .

So, new sum is 1224 / 6 = 204

So, new mean = New Sum / 18  

= 204 / 18 = 11.33

So, new mean is less than the old mean.