Find the mode of the data.
NCERT Class 10 Maths Chapter 14 Statistics
Page No. 276
Exercise 14.2
Question No. 5
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
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From the given data, it can be observed that the maximum class frequency is 18, belonging to class interval 4000 – 5000.
Therefore, modal class = 4000 5000
Lower limit () of modal class = 4000
Frequency (f₁) of modal class = 18B
Frequency (f₀) of class preceding modal class = 4
Frequency (f₂) of class succeeding modal class = 9
Class size (h) = 1000
Mode = l + ((f₁ – f₀)/(2f₁ – f₀ – f₂)) × h = 4000 + ((18 – 4)/(2 × 18 – 4 – 9)) × 1000 = 4000 + 608.695 = 4608.695
Therefore, mode of the given data is 4608.7 runs