Average of five numbers is 6.9 . If one of numbers is deleted, average of remaining numbers is 4.4 .

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4.Average

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The average of five numbers is $6.9 .$ If one of the numbers is deleted, the average of the remaining numbers is $4.4 .$ What is the value of the number deleted?

A

$12.5$

B

$17.2$

C

$16.9$

D

$16.8$

Solution

Average of five numbers

$\Rightarrow \frac{a+b+c+d+e}{5}=6.9 \Rightarrow a+b+c+d+e=34.5$

Let the number is deleted be $e.$ The average of remaining $4$ number is

$\Rightarrow \frac{a+b+c+d}{4}=4.4 \Rightarrow a+b+c+d=17.6$

Value of deleted number $=34.5-17.6=16.9$

Standard 13

Quantitative Aptitude

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