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.

Answers

Answer:

Step-by-step explanation:

Given

— coefficient of variation

Required

The mean and the median

The coefficient of variation is calculated using:

Where:

mean

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:

Answer:Step-by-step explanation:Given— coefficient of variation

RequiredThe mean and the median

The coefficient of variation is calculated using:Where:mean

So:Express percentage as decimalMakethe subjectThe coefficient of skewness is calculated using:This gives:Makethe subjectEquate both expressions forCross multiplyCollect like termsDivide both sides by -0.88Hence:CalculateSo:Also, the coefficient of skewness is calculated using:Multiply both sides by 30Divide both sides by 3Collect like terms