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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
1. Find Arithmetic mean(AM), Geometric mean(GM), Harmonic mean(HM)
1. Find Arithematic mean for data `2,3,4,5,6`

AM `= ( X_1 + X_2 + X_3 + X_4 + X_5 )/5`

AM `= ( 2 + 3 + 4 + 5 + 6 )/5`

AM `= 20/5`

AM `= 4`

2. Find Geometric mean for data `2,3,4,5,6`

GM `= root (5)( X_1 × X_2 × X_3 × X_4 × X_5 )`

GM `= root (5)( 2 × 3 × 4 × 5 × 6 )`

GM `= root (5)(720)`

GM `= 3.7279`

3. Find Harmonic mean for data `2,3,4,5,6`

HM `= N/( 1/X_1 + 1/X_2 + 1/X_3 + 1/X_4 + 1/X_5 )`

HM = `5/( 1/2 + 1/3 + 1/4 + 1/5 + 1/6 )`

After solving, we get
HM `= 3.4483`

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