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Question
If the ratio of mean and median of a certain data is 2:3 then find ratio of its mode and mean.
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Solution
Mode = 3 Median - 2 Mean
let the common ratio be x, then ;
mean = 2x
median = 3x
Mode = (3×3x) - (2×2x)
= 9x-4x
Mode = 5x
Ratio of mode and mean
= 5x/2x
= 5 : 2
let the common ratio be x, then ;
mean = 2x
median = 3x
Mode = (3×3x) - (2×2x)
= 9x-4x
Mode = 5x
Ratio of mode and mean
= 5x/2x
= 5 : 2
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