1. Find Mean when Median = 4 and Mode = 6

Solution:
We have given Median(`M`) `=4`, Mode(`Z`) `=6`, Mean(`bar X`) `=?`

`Z = 3 M - 2 bar X`

`2 bar X = 3 M - Z`

`2 bar X = 3 * 4 - 6`

`2 bar X = 12 - 6`

`bar X = 6 / 2`

`bar X = 3`

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2. Find Mean when Median = 7 and Mode = 11

Solution:
We have given Median(`M`) `=7`, Mode(`Z`) `=11`, Mean(`bar X`) `=?`

`Z = 3 M - 2 bar X`

`2 bar X = 3 M - Z`

`2 bar X = 3 * 7 - 11`

`2 bar X = 21 - 11`

`bar X = 10 / 2`

`bar X = 5`

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

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

`Z = 3 M - 2 bar X`

`2 bar X = 3 M - Z`

`2 bar X = 3 * 4 - 4`

`2 bar X = 12 - 4`

`bar X = 8 / 2`

`bar X = 4`

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4. Find Mean when Median = 5 and Mode = 7

Solution:
We have given Median(`M`) `=5`, Mode(`Z`) `=7`, Mean(`bar X`) `=?`

`Z = 3 M - 2 bar X`

`2 bar X = 3 M - Z`

`2 bar X = 3 * 5 - 7`

`2 bar X = 15 - 7`

`bar X = 8 / 2`

`bar X = 4`

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