Question

if the earth matic mean of 20 values is 10 then sum of these 20 values is?
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Answer 1

Let 's consider the 20 numbers to be

x1, x2, x3, x4……x20

If their mean is 10 then according to the mean formula which is given by

Mean = (Sum of 'n' numbers) ÷ ( n )

10 = (x1 + x2 + x3 +…..+ x20) ÷ (20)

We need to find Sum of those 20 numbers

Sum is given by

Sum = x1 + x2 + x3 +…..+ x20

From the Mean equation we have

10 = (x1 + x2 + x3 +…..+ x20) ÷ (20)

By multiplying both sides of the above equation by 20, we'll get

10 x 20 = [(x1 + x2 + x3 +…..+ x20) ÷ (20) ]x(20)

200 = x1 + x2 + x3 +…..+ x20

Since, Sum = x1 + x2 + x3 +…..+ x20

Sum = 200. ( By comparing the above two equations )