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

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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 - 20 15 15 225 16.625 249.375 20 - 30 25 25 625 6.625 165.625 30 - 40 20 35 700 3.375 67.5 40 - 50 12 45 540 13.375 160.5 50 - 60 8 55 440 23.375 187 --- --- --- --- --- --- -- 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

delta bar x = 830/80

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