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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 ]

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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 - 20 15 15 11.6667 175 20 - 30 25 25 1.6667 41.6667 30 - 40 20 35 8.3333 166.6667 40 - 50 12 45 18.3333 220 50 - 60 8 55 28.3333 226.6667 --- --- --- --- --- -- 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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