Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
480 views
in Statistics by (30.8k points)
closed by

Compare the modal ages of two groups of students appearing for an entrance test:

1 Answer

+1 vote
by (31.2k points)
selected by
 
Best answer

For Group A: 

Here, 

the maximum frequency is 78, the corresponding class interval 18 -20 is modal class 

l=18, h=2, f=78, f1=50, f2 =46

Mode = I + \(\frac{f-f_1}{2f-f_1-f_2}\times h\)

\(=18+\frac{78-50}{2\times78-50-46}\times2\)

\(=18+\frac{56}{60}\)

=18 + 0.93 =18.93 years

For Group B:

Here, 

the maximum frequency is 89, the corresponding class interval 18 -20 is modal class

l=18, h=2, f=89, f1=54, f2 =40

Mode = I + \(\frac{f-f_1}{2f-f_1-f_2}\times h\) 

\(=18+\frac{89-54}{2\times89-54-40}\times 2\)

\(=18+\frac{70}{84}=18+0.83=18.33\)

Hence, 

the modal age of group A is higher than that of group B.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...