1. Find Median when Mean = 3 and Mode = 6

Solution:
We have given Mean(`bar X`) `=3`, Mode(`Z`) `=6`, Median(`M`) `=?`

`Z = 3 M - 2 bar X`

`3 M = Z + 2 bar X`

`3 M = 6 + 2 * 3`

`3 M = 6 + 6`

`M = 12/3`

`M = 4`

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2. Find Median when Mean = 5 and Mode = 11

Solution:
We have given Mean(`bar X`) `=5`, Mode(`Z`) `=11`, Median(`M`) `=?`

`Z = 3 M - 2 bar X`

`3 M = Z + 2 bar X`

`3 M = 11 + 2 * 5`

`3 M = 11 + 10`

`M = 21/3`

`M = 7`

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3. Find Median when Mean = 4 and Mode = 4

Solution:
We have given Mean(`bar X`) `=4`, Mode(`Z`) `=4`, Median(`M`) `=?`

`Z = 3 M - 2 bar X`

`3 M = Z + 2 bar X`

`3 M = 4 + 2 * 4`

`3 M = 4 + 8`

`M = 12/3`

`M = 4`

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4. Find Median when Mean = 4 and Mode = 7

Solution:
We have given Mean(`bar X`) `=4`, Mode(`Z`) `=7`, Median(`M`) `=?`

`Z = 3 M - 2 bar X`

`3 M = Z + 2 bar X`

`3 M = 7 + 2 * 4`

`3 M = 7 + 8`

`M = 15/3`

`M = 5`

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