Question

the average of 2,7,6 and x is 5 and the average of 18,1,6,x and y is 10.what is the value of y​

Answer 1

Explanation:

2+7+6+x/4 =5

15+x=20

x=5

now we have value of x

so

18+1+6+5+y/5=10

30+y=50

y=20

Answer 2

We know that ,

$\large{ \sf \fbox{Average = \frac{Total \: sum \: of \: observations }{number \: of \: observations } </p><p>}}$

1st Case ,

Given ,

The average of 2 , 7 , 6 and x is 5

Thus ,

$\sf \hookrightarrow 5 = \frac{2 + 7 + 6 + x}{4} \\ \\ \sf \hookrightarrow 20 = 15 + x \\ \\ \sf \hookrightarrow x = 5$

Hence , the value of x is 5

2nd Case ,

The average of 18 , 1 , 6 , x and y is 10

and x = 5 (from first case)

$\sf \hookrightarrow 10 = \frac{8 + 1 + 6 + x + y}{5} \\ \\ \sf \hookrightarrow 10 = \frac{8 + 1 + 6 + 5+ y}{5} \\ \\ \sf \hookrightarrow 50 = 20 + y \\ \\ \sf \hookrightarrow y = 30$

Hence , thd value of y is 30

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