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

Solution:
We have given Mean (`bar X`) `=3`, Median(`M`) `=4`, Mode(`Z`) `=?`

`Z = 3 M - 2 bar X`

`Z = 3 * 4 - 2 * 3`

`Z = 12 - 6`

`Z = 6`

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

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

`Z = 3 M - 2 bar X`

`Z = 3 * 7 - 2 * 5`

`Z = 21 - 10`

`Z = 11`