Foundation
Mathematics Foundation
Measure of Central Tendency
Median
9th basic statistics
Question

Which of the following is true ?

Median = 3 Mode – 2 Mean    

Mode = 3 Median – 2 Mean

Mode = Mean + Median

Mean = 3 Median – 2 Mode    

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Solution
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This question relates to the empirical relationship between mean, median, and mode for a moderately skewed frequency distribution. The correct formula is an approximation that connects these three measures of central tendency.

The established relationship is expressed by the formula: Mode=3Median-2Mean. This means the mode is approximately equal to three times the median minus two times the mean.

Final Answer: Mode = 3 Median – 2 Mean