Math, asked by sanjanashetty30, 1 year ago

The mean of 10 observations is 48. If each observations in data is increased by 10% what will be the new mean of the data?

Anonymous: it's copied from the net bt it will help u

sanjanashetty30: i have checked it already but i am not understanding the method...

Anonymous: on multiplying the whole observation by 11/10, the given condition will be fulfilled. So, mean of the new data will be 11/10×48=52.8

goluankitraj: 52.8

Anonymous: yes 52.8

Answers

Answered by kvnmurty

it is very simple... If each observation is increased by 10% , then the sum is increased by 10%. Hence the mean is also increase by 10%.

$\vec{x}=mean=\Sigma_1^n x_i \\\\New mean = \Sigma_1^n\ {\frac{110}{100} * x_i}=\frac{110}{100}*\vec{x}\\\\So\ 10\%\ increase.$

New mean = 48 *110/100 = 52.8

kvnmurty: click on red heart thanks

Answered by rajawaseemkiani

Mean=sum of terms/total no of terms
As given
48=sum of terms/10
Sum of terms=480
Now by increasing data by 10%
Sum of terms=480+48=528
So new mean will be
Mean=528/10=52.8

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