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The relation between mean, mode and medi...

The relation between mean, mode and median is

A

`"mode" = (3 xx mean) - (2 xx median)`

B

`"mode" = (3 xx median) - (2 xx mean)`

C

`"median" = (3 xx mean) - (2 xx "mode")`

D

`"mean" = (3 xx median) - (2 xx "mode")`

Text Solution

AI Generated Solution

To find the relation between mean, median, and mode, we can use the following formulas derived from the empirical relationship in statistics: 1. **Mean - Mode = 3 (Mean - Median)** 2. **Median = (Mean + Mode) / 2** 3. **Mode = 3 * Median - 2 * Mean** ...
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what is the relation between mean mode and median

The empirical relation between mean, mode and median is Mod e = 3 M e d i a n -2 M e a n Mod e=2 M e d i a n-3 M e a n M e d i a n=3 Mod e-2 M e a n M e a n=3 M e d i a n-2 Mod e

Knowledge Check

  • Relation between mean, median and mode -

    A
    `barX = M = Z`
    B
    `barX gt M gt Z`
    C
    `barX lt M lt Z`
    D
    None of these

  • what is the relationship between mode , mean and median

    A
    `Z=3M+overline(2X)`
    B
    `Z=3M-overline(2X)`
    C
    `overline(X)=(3M-Z)/(2)`
    D
    Both (b) and ( c)

  • The empirical relationship between mean, median and mode is :

    A
    Mean `gt` Median `gt` Mode
    B
    Mean = Median = Mode
    C
    Mode - Mean = 3 (Median - Mean)
    D
    Mean - Mode = 3 (Mean - Median)

    • Similar Questions

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    Write the empirical relation between mean, mode and median.

    The relationship between mean, median and mode for a moderately skewed distribution is (a) Mode = 2 Median – 3 Mean (b) Mode = Median – 2 Mean (c) Mode = 2 Median – Mean (d) Mode = 3 Median – 2 mean

    Relationship between Mean;Mode and Median

    If the difference between the mode and median is 2 , the difference between the median and mean is "__________" (in the given order ) .

    If the difference between the mode and median is 2, then the difference between the median and mean is (in the given order)

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