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.

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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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