Find the mode of the following distribution of marks obtained by the students in an examination:

Marks obtained

0 – 20

20 – 40

40 – 60

60 − 80

80 − 100

Number of Students

15

18

21

29

17

Given the mean of the above distribution is 53, using empirical relationship estimate the value of its median.

This is a question of CBSE Sample Paper - Class 10 - 2017/18.

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Find mode. Given mean is 53, using empirical relationship, estimate

Question 22 - CBSE Class 10 Sample Paper for 2018 Boards - Part 2
Question 22 - CBSE Class 10 Sample Paper for 2018 Boards - Part 3

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Transcript

Question 22 Find the mode of the following distribution of marks obtained by the students in an examination: Marks obtained 0 – 20 20 – 40 40 – 60 60 − 80 80 − 100 Number of Students 15 18 21 29 17 Given the mean of the above distribution is 53, using empirical relationship estimate the value of its median. Mode = l + (𝑓1 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h Modal class = Interval with highest frequency = 60 – 80 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 Lifetimes (in hours) Frequency 0 – 20 15 20 – 40 18 40 – 60 21 60 – 80 29 80 – 100 17

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.