2071 Old Q.No.5 Person’s coefficient of skewness for a distribution is 0.4 and its coefficient of variation is 30%. If mode is 88, find mean and median.
2071 Old Q.No.5 Person’s coefficient of skewness for a distribution is 0.4 and its coefficient of variation is 30%. If mode is 88, find mean and median.
Answer:
Step-by-step explanation:
Given
Required
The mean and the median
The coefficient of variation is calculated using:
Where:
So:
Express percentage as decimal
Make
the subject
The coefficient of skewness is calculated using:
This gives:
Make
the subject
Equate both expressions for
Cross multiply
Collect like terms
Divide both sides by -0.88
Hence:
Calculate
So:
Also, the coefficient of skewness is calculated using:
Multiply both sides by 30
Divide both sides by 3
Collect like terms