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Find mean deviation about mean {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

Solution:
Your problem `->` mean deviation about mean {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}


Mean `bar x=(sum f x)/(sum f)`

`=2530/80`

`=31.625`

Class
`(1)`
`f`
`(2)`
Mid value (`x`)
`(3)`
`f*x`
`(4)=(2)xx(3)`
`|x-bar x|=|x-31.625|`
`(5)`
`f*|x-bar x|`
`(6)=(2)xx(5)`
10 - 2015 15 `15=(10+20)/2` 225 `225=15xx15`
`(4)=(2)xx(3)`
 16.625 `|15-31.625|=16.625`
`|x - 31.625|`
 249.375 `249.375=15xx16.625`
`(6)=(2)xx(5)`
20 - 3025 25 `25=(20+30)/2` 625 `625=25xx25`
`(4)=(2)xx(3)`
 6.625 `|25-31.625|=6.625`
`|x - 31.625|`
 165.625 `165.625=25xx6.625`
`(6)=(2)xx(5)`
30 - 4020 35 `35=(30+40)/2` 700 `700=20xx35`
`(4)=(2)xx(3)`
 3.375 `|35-31.625|=3.375`
`|x - 31.625|`
 67.5 `67.5=20xx3.375`
`(6)=(2)xx(5)`
40 - 5012 45 `45=(40+50)/2` 540 `540=12xx45`
`(4)=(2)xx(3)`
 13.375 `|45-31.625|=13.375`
`|x - 31.625|`
 160.5 `160.5=12xx13.375`
`(6)=(2)xx(5)`
50 - 608 55 `55=(50+60)/2` 440 `440=8xx55`
`(4)=(2)xx(3)`
 23.375 `|55-31.625|=23.375`
`|x - 31.625|`
 187 `187=8xx23.375`
`(6)=(2)xx(5)`
------------------
--`n=80`--`sum f*x=2530`--`sum f*|x-bar x|=830`


Mean deviation of Mean
`delta bar x = (sum f*|x - bar x|)/n`






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