An investigation of 23713 households was made in an urban and ru

Question

An investigation of 23713 households was made in an urban and rural mixed locality. Of these 1618 were farmers, 2015 well to do and 770 families were having at least one graduate. Of these graduate families 335 were those of farmers and 428 were well to do; also 587 well to do families were those of farmers and out of them only 156 were having at least one graduate. Obtain all the ultimate class frequencies.

19 Jan 2026

Answer :

Word Count : 697

We are asked to find the ultimate class frequencies from the given data. Let us solve it step by step manually. Let us define the categories: * F = Farmers * W = Well-to-do * G = Families with at least one Graduate Given data: * Total households: ( N = 23713 ) * Farmers: ( F = 1618 ) * Well-to-do: ( W = 2015 ) * Graduate families: ( G = 770 ) * Graduate families among farmers: ( F \cap G = 335 ) * Graduate families among well-to-do: ( W \cap G = 428 ) * Well-to-do families among farmers: ( F \cap W = 587 ) * Graduate families among farmers who are well-to-do: ( F \cap W \cap G = 156 ) We are asked to find the ultimate class frequencies, i.e., families ___ _______ __________ ____ __________ ________ _________ __________ ___ _______.
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