If the mean of 10 observations is 12, what is their sum?
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the sum of the mean is 120
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let the 10 observations are
x, x+1, x+3, x+4, x+5, x+6, x+7, x+8, x+9
The number of observations=10
Given that the mean of 10 observations=12
we know that,
mean = sum of all observations / no.of observations
then,
mean=x+x+1+x+3+x+4+x+5+x+6+x+7+x+8+x+9/10
mean =10x+45/10=12
=10x+45=12×10
=10x+45=120
therefore the sum of 10 observations= 120
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