Exercises 13.2

EX 13.2 (Question: 6)

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

EX 13.2 (Question: 6) A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data :
Solution: A student recorded the number of cars passing through a spot for 100 intervals of 3 minutes each. The data is given below: Where: Modal class = 40 – 50 𝑙 = 40 (lower boundary of modal class) 𝑓1 = 20 (frequency of modal class) 𝑓0 = 12 (frequency of class before modal class) 𝑓2 = 11 (frequency of class after modal class) ℎ = 10 (class width) Mode Using formula: Mode, =𝒍+[(𝒇_𝟏−𝒇_𝟎)/(𝟐𝒇_𝟏−𝒇_𝟎−𝒇_𝟐 )]×𝒉 "Mode "=40+((20−12)/(2(20)−12−11))×10 =40+(8/(40−23))×10 =40+(8/17)×10 =40+4.70 =44.70 Therefore, The mode of the number of cars passing through the spot is 44.70 cars.

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