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The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.

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NCERT CLASS 10 CHAPTER 14 STATISTICS
Textbook Page No. 272
Maths Exercise 14.1
Question No. 9

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1 Answer

  1. To find the class marks, the following relation is used.
    xᵢ = (Upper Limit + Lower Limit)/2
    Class size (h) for this data = 10. Tking 70 as assumed mean (a), dᵢ, uᵢ and fᵢuᵢ are calculated as follows.

    From the table, we obtain
    ∑fᵢ = 35, ∑fᵢuᵢ = -2, a = 70 and h = 10
    mean (X̄) = a + (∑fᵢuᵢ /∑fᵢ)h = 70 + (-2/35) × 10 = 70 – 4/7 = 70 – 0.57 = 69.43
    Therefore, mean literacy rate is 69.43%

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