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

What will be the mode of the given data?

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

12.44

13.44

14.44

15.44

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

We have to find the mode of the given data:
Question Image

We know that the empirical formula of mode is,

Mode = 3 median − 2 mean

The total number of students is 25.
Multiplying the marks by the number of students.
Question Image

We know that,

mean = sum of all observations number of observations

mean = 30 + 55 + 48 + 65 + 28 + 48 + 38 + 20 25 = 13.28

So, the mean of the data is 13.28.
Calculating the median,
Rearranging the data in ascending order:
10,10,10,11,11,11,11,11,12,12,12,12,13,13,13,13,13,14,14,16,16,16,19,19,20
The number of observations is 25, which is odd.

n + 1 2 t h term = 25 + 1 2 t h term = 262 t h term = 13 t h term = 13

So, the median of the data is 13.
Calculating the mode,
Putting 13.28 for mean and 13 for the median in:

Mode = 3 median − 2 mean

Mode = 3 × 13 − 2 × 13.28 = 39 − 26.56 = 12.44

So, the mode of the given data is 12.44.
Therefore, option 1 is correct.

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!