Example 5 - A survey conducted on 20 households in a locality

Example 5 - Chapter 14 Class 10 Statistics - Part 2

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

Transcript

Example 5 A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household. Find the mode of this data. 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 = 3 โ€“ 5 where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of the class before modal class f2 = frequency of the class after modal class Putting values in equation Mode = 3 + (๐Ÿ– โˆ’๐Ÿ•)/(๐Ÿ(๐Ÿ–)โˆ’๐Ÿ• โˆ’๐Ÿ) ร— 2 = 3 + 1/(16 โˆ’9) ร— 2 = 3 + 1/7 ร— 2 = 3 + 2/7 = 3 + 0.286 = 3.286

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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.