bar x_2 from Combined Mean bar x_12 and bar x

We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more

Support us

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

bar x_2 from Combined Mean bar x_12 and bar x_1 Example ( Enter your problem )

( Enter your problem )

Formula Combined Mean and Combined Standard deviation
Combined Mean Example
Combined Standard deviation Example (Method-1)
Combined Standard deviation Example (Method-2)
`bar x_2` from Combined Mean `bar x_12` and `bar x_1` Example

4. Combined Standard deviation Example (Method-2)
(Previous example)

5. `bar x_2` from Combined Mean `bar x_12` and `bar x_1` Example

1. Combined Mean `bar X_(12) = 40, bar X_1 = 10 , N_1 = 1, N_2 = 60`, find `bar X_2`

Solution:
Combined Mean :
`bar x_(12) = ( N_1 * bar x_1 + N_2 * bar x_2 )/( N_1 + N_2)`

`40 = ( 1 * 10 + 60 * bar x_2)/( 1 + 60)`

`40 = ( 10 + 60 * bar x_2)/( 61)`

`40 * 61= 10 + 60 * bar x_2`

`2440= 10 + 60 * bar x_2`

` 60 * bar x_2=2440 - 10`

` 60 * bar x_2=2430`

` bar x_2=2430/60`

` bar x_2=40.5`

2. Combined Mean `bar X_(12) = 80, bar X_1 = 520 , N_1 = 20, N_2 = 420`, find `bar X_2`

Solution:
Combined Mean :
`bar x_(12) = ( N_1 * bar x_1 + N_2 * bar x_2 )/( N_1 + N_2)`

`80 = ( 20 * 520 + 420 * bar x_2)/( 20 + 420)`

`80 = ( 10400 + 420 * bar x_2)/( 440)`

`80 * 440= 10400 + 420 * bar x_2`

`35200= 10400 + 420 * bar x_2`

` 420 * bar x_2=35200 - 10400`

` 420 * bar x_2=24800`

` bar x_2=24800/420`

` bar x_2=59.0476`

This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here