Combined Mean Example

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

~~I want to sell my website www.AtoZmath.com with complete code~~

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

Combined Mean Example ( Enter your problem )

( Enter your problem )

1. Formula Combined Mean and Combined Standard deviation
(Previous example)

3. Combined Standard deviation Example (Method-1)
(Next example)

2. Combined Mean Example

1. Find Combined Mean from the following data
`N_1=40,bar X_1=10`
`N_2=60,bar X_2=15`

Solution:
Combined Mean :
`bar x_12 = ( N_1 * bar (x)_1 + N_2 * bar (x)_2 )/( N_1 + N_2 )`

`bar x_12 = ( 40 * 10 + 60 * 15 )/( 40 + 60 )`

`bar x_12 = ( 400 + 900 )/(100)`

`bar x_12 = 1300/100`

`bar x_12 = 13`

2. Find Combined Mean from the following data
`N_1=80,bar X_1=520`
`N_2=20,bar X_2=420`

Solution:
Combined Mean :
`bar x_12 = (N_1 * bar (x)_1+N_2 * bar (x)_2)/(N_1+N_2)`

`bar x_12 = (80 xx 520+20 xx 420)/(80+20)`

`bar x_12 = (41600+8400)/(100)`

`bar x_12 = 50000/100`

`bar x_12 = 500`

3. Find Combined Mean from the following data
`N_1=20,bar X_1=50`
`N_2=50,bar X_2=12`

Solution:
Combined Mean :
`bar x_12 = (N_1 * bar (x)_1+N_2 * bar (x)_2)/(N_1+N_2)`

`bar x_12 = (20 xx 50+50 xx 12)/(20+50)`

`bar x_12 = (1000+600)/(70)`

`bar x_12 = 1600/70`

`bar x_12 = 22.8571`

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