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1. Find Arithmetic mean(AM), Geometric mean(GM), Harmonic mean(HM)
Data:  
  

2. Find X from Arithmetic mean(AM), Geometric mean(GM), Harmonic mean(HM)
Data:  
AM GM HM 
Find value of X when Arithmetic mean =

3. Find Mean or Median or Mode from other two's
Mean = Median = Mode =
SolutionHelpExample-1Example-2Example-3
3. Find Mean or Median or Mode from other two's
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`

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