451 Views

Question : Find the mode for the given distribution (rounded off to two decimal places).

Class Interval 5-10 10-15 15-20 20-25 25-30 30-35
Frequency 8 7 6 9 11 10

Option 1: 35.25

Option 2: 40.25

Option 3: 30.33

Option 4: 28.33


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 8th Jan, 2024

Correct Answer: 28.33


Solution : Here, the maximum frequency is 11, and the corresponding class is 25–30.
So the modal class is 25–30.
Now lower limit of the modal class ($l$) = 25,
Frequency of the modal class ($f_1$) = 11
Frequency of the preceding modal class ($f_0$) = 9
Frequency of the succeeding modal class ($f_2$) = 10
class size ($h$) = 5
We know, mode = $l + (\frac{f_1-f_0}{2f_1-f_0-f_2})×h$
= $25 + (\frac{11-9}{2(11)-9-10})×5$
= $25 + (\frac{2}{3})×5$
= $25 + 3.33$
= $28.33$
Hence, the correct answer is 28.33.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2025
Apply
Accepted by 13,000 universities worldwide | Offered in 200+ countries | 40 million people have taken TOEFL Test
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books