In a certain distribution,the mean median and coefficent of skewness are 45,48and-0.4 respectively.find s.d and the coefficent of variation.
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Answer:
Step-by-step explanation:
Mean is 100 amd median is 96.
The coefficient of variance is given as 30%.
Therefore,
= 0.3 = =
Hence , the standard deviation (σ) = 0.3μ (Equation 1)
Now, Coefficient of skewness = 0.4 =
Substituting the value of standard deviation (σ) in the above equation,
0.12μ = μ - 88
0.88μ = 88
μ = 100
Therefore, Mean = 100
=
σ = 0.3μ = 0.3×100 = 30.
Substituting in the above formula we get,
0.4 =
100 - Median = 0.4×30÷3
Median = 100 - 4 = 96
Therefore , median is equal to 96.
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