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Home > Statistical Methods calculators > Combined Mean and Standard deviation calculator

Method and examples
1. Find Combined Mean and Standard deviation
Method  
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for sample click random button
OR
Rows :    
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Combined Sd Method:
  1. Find Combined mean `bar X_(12)`
  2. Find Combined Sd `(sigma_(12) = sqrt(( N_1 * (sigma_1^2 + d_1^2) + N_2 * (sigma_2^2 + d_2^2) )/( N_1 + N_2 )))`
  3. Find Combined Sd `(sigma_(12) = sqrt(((N_1 - 1) * sigma_1^2 + (N_2 - 1) * sigma_2^2 + (N_1 * N_2)/(N_1 + N_2) * (bar x_1^2 + bar x_2^2 - 2 bar x_1 bar x_2))/(N_1 + N_2 - 1)))`
  1. Find Combined Mean and Standard deviation`N_1=40,bar X_1=10,sigma_1=1`
    `N_2=60,bar X_2=15,sigma_2=2`
  2. Find Combined Mean `N_1=80,bar X_1=520`
    `N_2=20,bar X_2=420`
  3. Find Combined Mean `N_1=20,bar X_1=50`
    `N_2=50,bar X_2=12`
  4. Find Combined Mean and Standard deviation`N_1=40,bar X_1=400,sigma_1=1`
    `N_2=60,bar X_2=900,sigma_2=4`
  5. Find Combined Mean `N_1=80,bar X_1=41600`
    `N_2=20,bar X_2=8400`
  6. Find Combined Mean `N_1=20,bar X_1=1000`
    `N_2=50,bar X_2=600`
2. Find X2 from Combined Mean X12 and X1
Combined Mean X12 = ,
N1 = , X1 = ,
N2 = , find X2
  1. Combined Mean `bar X_(12) = 40, bar X_1 = 10 , N_1 = 1, N_2 = 60`, find `bar X_2`
  2. Combined Mean `bar X_(12) = 80, bar X_1 = 520 , N_1 = 20, N_2 = 420`, find `bar X_2`
  3. Combined Mean `bar X_(12) = 20, bar X_1 = 50 , N_1 = 50, N_2 = 12`, find `bar X_2`
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