bar x_2 from Combined Mean bar x_12 and bar x

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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.
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