Question

The mean of 75 numbers is 35. If each number is multiplied by 4, find the new mean.​

Answer 1

ANSWER

Given that

the mean of 75 numbers is 35

i.e., n = 75 and mean = 35

We know

$Mean= \frac{ \:sum of numbers(observations)</p><p>}{ \:sum of numbers(observations)}$

$35= \frac{ \:sum of numbers}{ \:75}$

Sum of numbers = 75 × 35 = 2625

and given if each number is multiplied by 4

After multiplication of 4 in each number,

then their new sum will be = 2625 × 4 = 10,500

∴ New mean = sum of numbers/no. of numbers

=10500/75=140

∴ New mean=140.