Question

The mean of 4 variable is given as 10. It was found later that one of that variable was stated as 14 instead of 18. What is the new mean caclulated on the adjusteed value of the varible.​

Answer 1

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Answer 2

The new mean of the set of variables would be 9 if one of the variables is found to be 14 instead of 18.

Explanation:

• The mean or the average of the set of 4 variables is given 10.Therefore,the sum or addition of all the 4 variables=
• Now,if one of the variables is reduced from 18 to 14,the sum or addition of the variables will also be reduced by 4.Hence,the new sum or addition of the 4 variables=$(40-4)=36$.
• The new sum or addition of the 4 variables now becomes 36 after reduction in one of the variables by 4.Hence,the new mean or average of the 4 variables=$\frac{36}{4} =9$.The new mean or average of the 4 variables after the reduction of one of the variables from 18 to 14 is 9.