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Consider the following distribution of daily wages of 50 workers of a factory.

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Find the mean daily wages of the workers of the factory by using an appropriate method.
NCERT  Class 10 Math’s Chapter 14
Page No. 270
Exercise 14.1
Question No. 2

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1 Answer

  1. To find the class mark for each interval, the following relation is used.
    xᵢ = (Upper limit + Lower limit)/2
    Class size (h) of this data = 20.Taking 150 as assured mean (a), dᵢ, uᵢ, and fᵢuᵢ can be calculated as follows.

    From the table, it can be observed that
    ∑fᵢ = 50, ∑fᵢuᵢ = 12, a = 150 and h = 20
    mean(X̄) = a + (∑fᵢuᵢ/∑fᵢ)h = 150 + (-12/50) × 20 = 150 – 24/5 = 150 – 4.8 = 145.2
    Therefore, the mean daily wage of the workers of the factory is ₹145.20

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