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.
Answers
Explanation:
Given :-
The coffiecients of variations for the two distribution are 60 and 70 .
The standard deviation for 60 and 70 are 21 and 16 respectively.
Solution :-
Here, we have to calculate its arithmetic mean
For first distribution ,
We have ,
Coffiecients of variations = 60
Standard deviation = 21
Let the mean be x
As we know that,
Coffiecients of variations
= Standard deviation / mean * 100
Put the required values,
60 = 21 / x * 100
60x = 2100
x = 2100/60
x = 210/6
x = 35
Thus, The mean for first distribution is 35
Now,
For second distribution ,
We have,
Coffiecients of variations = 70
Standard deviations = 16
Let the mean be y
As we know that,
Coffiecients of variations
= Standard deviation / mean * 100
Put the required values,
70 = 16/y * 100
70y = 1600
y = 1600/70
y = 160/7
y = 22.85
Thus, The mean for second distribution is 22.85
Hence, The arithmetic mean is 35 and 22.85 ..
Answer:
For first distribution:
Coefficient of variation (cv)=60
We know that
cv=Meanstandard deviation×100
60=Mean21×100
Mean=6021×100
=35
For sound distribution
Coefficient of variation (cv)=70
standard deviation =16
We know that
cv=Meanstand and deviation×100
70=Mean16×100
Mean =7016×100=22.85
Explanation:
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