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Example 6 - Marks distribution of 30 students in mathematics

Example 6 - Chapter 14 Class 10 Statistics - Part 2

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Example 6 The marks distribution of 30 students in a mathematics examination are given in Table 14.3 of Example 1. Find the mode of this data. Also compare and interpret the mode and the mean. Mode = l + (𝒇𝟏 −𝒇𝟎)/(𝟐𝒇𝟏 −𝒇𝟎 −𝒇𝟐) × h Modal class = Interval with highest frequency = 40 – 55 where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of class before modal class f2 = frequency of class after modal class Putting values in equation Mode = l + (𝑓1 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h = 40 + (7 −3)/(2(7)−3−6) × 15 = 40 + 4/(14 −9) × 15 = 40 + 4/5 × 15 = 40 + 4 × 3 = 40 + 12 = 52 ∴ Mode = 52 So, maximum number of students obtained 52 marks & Mean = 62 Therefore, on an average, the students got 62 marks.

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Davneet Singh

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.