AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Find the mode of the following data:

C.I.
0-4
4-8
8-12
12-16
16-20
f
5
6
19
12
8

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

10.6

12

12.6

8

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given data,

C.I.	0-4	4-8	8-12	12-16	16-20
f	5	6	19	12	8

Since the class

8 - 12

has the highest frequency, therefore, it is the modal class
Now,
Mode

= l + \frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}} \times h

Where,

l =

lower limit of the modal class

f_{1} =

frequency of the modal class

f_{0} =

frequency of the class preceding the modal class

f_{2} =

frequency of the class succeeding the modal class

h =

size of the class interval
Substituting the values,
Mode

= 8 + \frac{19 - 6}{2 (19) - 6 - 12} \times 4

\Rightarrow Mode = 8 + \frac{13}{38 - 6 - 12} \times 4

\Rightarrow Mode = 8 + \frac{13}{20} \times 4

\Rightarrow Mode = 8 + \frac{13}{5}

\Rightarrow Mode = 8 + 2.6

\Rightarrow Mode = 10.6

Thus, the mode of the given data is 10.6.
Hence, the correct option is 1.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!