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

The mode of the following data is $85.7$ . What is the missing frequency?

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

33

31

30

32

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

It is given the following frequency distribution table.
Question Image

We know that, mode is given as:

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

Given

Mode = 85.7

So, from the table, we get

\Rightarrow

Modal class

= 85 - 95

Lower limit of modal class

l = 85

Class size

h = 10

Frequency of modal class

f_{1} = 32

Preceding frequency of modal class

f_{0} = f

Succeeding frequency of modal class

f_{2} = 6

Putting the values in the formula, we get

85.7 = 85 + (\frac{32 - f}{64 - f - 6}) \times 10

\Rightarrow 85.7 = 85 + (\frac{320 - 10 f}{58 - f})

\Rightarrow 85.7 \times (58 - f) = 85 (58 - f) + (320 - 10 f)

\Rightarrow 4970.6 - 85.7 f = 4930 - 85 f + 320 - 10 f

\Rightarrow - 279.4 = - 9.3 f

\Rightarrow f = 30.04 \approx 30

Thus, the approximate value of missing frequency is 30.
Hence, the correct option is 3.

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!