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

Example 5 - Chapter 14 Class 10 Statistics - Part 2

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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 + (𝒇𝟏 −𝒇𝟎)/(𝟐𝒇𝟏 −𝒇𝟎 −𝒇𝟐) × h Modal class = Interval with highest frequency = 3 – 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 + (𝟖 −𝟕)/(𝟐(𝟖)−𝟕 −𝟐) × 2 = 3 + 1/(16 −9) × 2 = 3 + 1/7 × 2 = 3 + 2/7 = 3 + 0.286 = 3.286

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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.