Combined mean and Combined Standard deviation calculator

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College Algebra

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

Method and examples

1. Find Combined Mean and Standard deviation

Method

Type your data, for seperator you can use space or tab
for sample click random button

OR

Rows :

Click On Generate

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 X₁₂ = ,
N₁ = ,	X₁ = ,
N₂ = ,	find X₂

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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