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The coefficients of variations for the two distributions are 60 and 70 and its standard deviations are 21 and 16 respectively. Determine its arithmetic mean.
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For first distribution:
Coefficient of variation (cv)=60
We know that
cv=
Mean
standard deviation
×100
60=
Mean
21
×100
Mean=
60
21
×100
=35
For sound distribution
Coefficient of variation (cv)=70
standard deviation =16
We know that
cv=
Mean
stand and deviation
×100
70=
Mean
16
×100
Mean =
70
16
×100=22.85
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