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Problem: mean deviation about mode {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}} [ Calculator, Method and examples ]

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


Class
`(1)`
`f`
`(2)`
Mid value (`x`)
`(3)`
`|x-Z|=|x-26.6667|`
`(4)`
`f*|x-Z|`
`(5)=(2)xx(4)`
10 - 20151511.6667175
20 - 3025251.666741.6667
30 - 4020358.3333166.6667
40 - 50124518.3333220
50 - 6085528.3333226.6667
---------------
--`n=80`----`sum f*|x-Z|=830`


To find Mode Class
Here, maximum frequency is `25`.

`:.` The mode class is `20 - 30`.

`:. L = `lower boundary point of mode class `=20`

`:. f_1 = ` frequency of the mode class `=25`

`:. f_0 = ` frequency of the preceding class `=15`

`:. f_2 = ` frequency of the succedding class `=20`

`:. c = ` class length of mode class `=10`

`Z = L + ((f_1 - f_0) / (2*f_1 - f_0 - f_2)) * c`

`=20 + ((25 - 15)/(2*25 - 15 - 20)) * 10`

`=20 + (10/15) * 10`






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