A grouped distribution is worked out by the step-deviation method with assumed mean A = 45, class size h = 10 and total frequency Σf = 50, and the mean comes out to be 47.4. What is the value of Σfu?

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12. The formula is Mean = A + h × (Σfu / Σf), so 47.4 = 45 + 10 × (Σfu / 50). This gives 2.4 = Σfu / 5 and therefore Σfu = 12. Leaving the class size h out of the formula turns the equation into 2.4 = Σfu / 50 and wrongly gives 120.

A grouped distribution is worked out by the step-deviation method with assumed mean A = 45, class size h = 10 and total frequency Σf = 50, and the mean comes out to be 47.4. What is the value of Σfu?

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