Combined mean and Combined Standard deviation calculator

11. Matrix Algebra on 17.03.19
1. with variables `[[2x,3y],[3x,4z]]`
2. with complex numbers `[[-5i,3i],[4i,5i]]`
3. with surds `[[1/sqrt(2),sqrt(2)],[4,-5]]`

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

1. Find Combined Mean and Standard deviation

Method

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Rows :

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Combined Sd Method:

Find Combined mean `bar X_(12)`
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 )))`
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)))`

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`
Find Combined Mean `N_1=80,bar X_1=520`
`N_2=20,bar X_2=420`
Find Combined Mean `N_1=20,bar X_1=50`
`N_2=50,bar X_2=12`
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`
Find Combined Mean `N_1=80,bar X_1=41600`
`N_2=20,bar X_2=8400`
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 `bar X_(12) = 40, bar X_1 = 10 , N_1 = 1, N_2 = 60`, find `bar X_2`
Combined Mean `bar X_(12) = 80, bar X_1 = 520 , N_1 = 20, N_2 = 420`, find `bar X_2`
Combined Mean `bar X_(12) = 20, bar X_1 = 50 , N_1 = 50, N_2 = 12`, find `bar X_2`

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