Question
Download Solution PDFIf mean and median of the distribution are 12 and 21, then the distribution
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is negatively skewed.
Key Points
- The formula used to derive this result is Mean-Mode=3(Mean -Median). The solution to this problem is then,
\(12-Mode=3(12-21) \\\implies (12+27)=Mode\\ \implies {Mode=39} \)
- The relation between Mean, Median and Mode determines the nature of the frequency distribution curve.
- The Mode>Median>Mean then the distribution curve is negatively skewed.
- The mean in a frequency distribution is the average of all the observations. The average of all the observations is done by adding them up and dividing them by the total number of observations in a frequency distribution.
- The median is the middlemost value of a distribution when all the values of the observation are arranged from ascending to descending order.
- mode is the value that has the highest frequency.
- If Mean = Median = Mode then the distribution curve is symmetrical.
- If Mean > Median > Mode then the distribution curve is positively skewed.
Hence, if the mean and median of the distribution are 12 and 21, then the distribution is negatively skewed.
Last updated on Jul 8, 2025
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