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

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:
  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 and Standard deviation`N_1=80,bar X_1=520`
    `N_2=20,bar X_2=420`

  3. Find Combined Mean and Standard deviation`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 and Standard deviation`N_1=80,bar X_1=41600`
    `N_2=20,bar X_2=8400`

  6. Find Combined Mean and Standard deviation`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 = , X1 = , N1 = , 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`
SolutionHelpExample-1Example-2
 
 

 
Copyright © 2018. All rights reserved. Terms, Privacy