Question
Download Solution PDFFor a frequency distribution of a variable x, mean = 32, median = 30. The distribution is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Mean = 32
Median = 30
Formula
Mode = 3 × median - 2 × mean
Calculation
Mode = 3 × 30 - 2 × 32
∴ Mode = 26
Here Mode is least and median is lies between mean and mode
∴ Mean > Median > Mode
∴ This relation satisfied Positive skewed
Key Points
Relation of mean, mode, and median for positive skewness is Mean > Median > Mode
Relation of mean, mode, and median for negative skewness is Mode > Median > Mean
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