Example 6 - Marks distribution of 30 students in mathematics

Example 6 - Chapter 14 Class 10 Statistics - Part 2

  1. Chapter 14 Class 10 Statistics (Term 2)
  2. Serial order wise

Transcript

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 + (๐’‡๐Ÿ โˆ’๐’‡๐ŸŽ)/(๐Ÿ๐’‡๐Ÿ โˆ’๐’‡๐ŸŽ โˆ’๐’‡๐Ÿ) ร— h Modal class = Interval with highest frequency = 40 โ€“ 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 + (๐‘“1 โˆ’๐‘“0)/(2๐‘“1 โˆ’๐‘“0 โˆ’๐‘“2) ร— h = 40 + (7 โˆ’3)/(2(7)โˆ’3โˆ’6) ร— 15 = 40 + 4/(14 โˆ’9) ร— 15 = 40 + 4/5 ร— 15 = 40 + 4 ร— 3 = 40 + 12 = 52 โˆด 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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.