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Thirty women were examined in a hospital by a doctor and the number of heartbeats per minute were recorded and summarised as follows. Find the mean heartbeats per minute for these women, choosing a suitable method.

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NCERT Class 10 Chapter 14 Statistics. Solutions for CBSE board exams.
Page No. 271
Exercise 14.1
Question No. 4

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1 Answer

  1. To find the class mark of each interval (x), the following relation is used.
    xᵢ = (Upper limit + Lower limit)/2
    Class size, h, of this data = 3
    Taking 75.5 as assumed mean (a), dᵢ, uᵢ, fᵢuᵢ are calculated as follows.

    From the table, we obtain
    ∑fᵢ = 30, ∑fᵢuᵢ = 4, a = 75.5 and h = 3
    mean(X̄) = a + (∑fᵢuᵢ / ∑fᵢ)h = 75.5 + (4/30) × 30 = 75.5 + 4/10 = 75.5 + 0.4 = 75.9
    Therefore, mean heartbeat per minute for those women are 75.9 beats per minutes.

    You can also see here for better understanding😄👇

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