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Mean of a data set is 22. if the ratio of the mode and median of the data set is 1 : 3, the find the correct relation between mean, median and mode.1. Mean > Median > Mode2. Mode > Median > Mean3. Median = Mode > Mean4. Mean = Mode < Median |
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Answer» Correct Answer - Option 1 : Mean > Median > Mode Given; Mean of a data set = 22 Ratio of Mode and Median = 1 : 3 Formula Used: Mode = 3(Median) - 2(Mean) Calculation: Ratio of mode and Median be 1x : 3x x = 3 × (3x) - (2 × 22) ⇒ 8x = 44 ⇒ x = 44/8 ⇒ x = 5.5 Since Mode is x so Mode of the data is 5.5 Median = 3x = 3 × 5.5 Median = 16.5 Mean = 22 Mode = 5.5 ∴ The Correct relation is Mean > Median > Mode |
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