Exercises 13.2

EX 13.2 (Question: 5)

📅 Published: 15 June, 2025 🕒 Read: 0 min

EX 13.2 (Question: 5) The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches. Find the mode of the data.
Solution: Mode we use the formula: Where: Modal class = 4000 – 5000 (highest frequency = 18) 𝑙 = 4000→ lower boundary of modal class 𝑓1 = 18 → frequency of modal class 𝑓0 = 4 → frequency of class before modal class 𝑓2 = 9 → frequency of class after modal class ℎ = 1000 → class width
Using formula: Mode, =𝒍+[(𝒇_𝟏−𝒇_𝟎)/(𝟐𝒇_𝟏−𝒇_𝟎−𝒇_𝟐 )]×𝒉 "Mode "=4000+((18−4)/(2(18)−4−9))×1000 =4000+(14/(36−14))×1000 =4000+(14/23)×1000 =4000+608.7 =4608.7 Therefore, the modal runs scored by top ODI batsmen is approximately 4608.7.

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