1. Find Mode when Mean=3 and Median=4
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`
2. Find Median when Mean=5 and Mode=11
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`
3. Find Mean when Median=7 and Mode=11
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`
This material is intended as a summary. Use your textbook for detail explanation.
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