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Ex 14.3, 4 - The lengths of 40 leaves of a plant are measured

Ex 14.3, 4 - Chapter 14 Class 10 Statistics - Part 2
Ex 14.3, 4 - Chapter 14 Class 10 Statistics - Part 3
Ex 14.3, 4 - Chapter 14 Class 10 Statistics - Part 4

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Ex 14.3, 4 The lengths of 40 leaves of a plant are measured correct to the nearest millimetre , and the data obtained is represented in the following table. Find the median length of the leaves Since there is a gap of 1 between intervals We add ½ to upper limit, and subtract ½ to lower limit Now, let’s find median Finding Median Median = l + (𝑵/𝟐 −𝒄𝒇)/𝒇 × h Here, 𝑵/𝟐 ∴ 144.5 – 153.5 is median class And, l = h = cf = f = Putting values in Formula Median = l + (𝑁/2 −𝑐𝑓)/𝑓 × h = 144.5 + (𝟐𝟎 −𝟏𝟕)/𝟏𝟐 × 9 = 144.5 + 3/12 × 9 = 144.5 + 2.25 = 146.75 Therefore, Median length of leaves is 146.75 mm

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.