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
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo
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