Consider the following grouped frequency distribution:

X

F

0-10

8

10-20

12

20-30

10

30-40

P

40-50

9

 

If the mean of the above data is 25.2, then what is the value of p?

This question was previously asked in
CDS Maths Previous Paper 7 (Held On: 3 Feb 2019)
View all CDS Papers >
  1. 9
  2. 10
  3. 11
  4. 12

Answer (Detailed Solution Below)

Option 3 : 11
Free
UPSC CDS 01/2025 General Knowledge Full Mock Test
8.3 K Users
120 Questions 100 Marks 120 Mins

Detailed Solution

Download Solution PDF

X

F

Z

F × Z

0-10

8

5

40

10-20

12

15

180

20-30

10

25

250

30-40

P

35

35P

40-50

9

45

405

 

Z is the midpoint of range of x for every data

sum of all F × Z = 875 + 35P

mean of above data is 25.2 & sum of all F = 8 + 12 + 10 + P + 9 = 39 + P

mean =875+35P39+P=25.2

⇒ 9.8 P = 107.8

⇒ P = 11
Latest CDS Updates

Last updated on Jul 7, 2025

-> The UPSC CDS Exam Date 2025 has been released which will be conducted on 14th September 2025.

-> Candidates can now edit and submit theirt application form again from 7th to 9th July 2025.

-> The selection process includes Written Examination, SSB Interview, Document Verification, and Medical Examination.  

-> Attempt UPSC CDS Free Mock Test to boost your score.

-> Refer to the CDS Previous Year Papers to enhance your preparation. 

Get Free Access Now
Hot Links: teen patti circle teen patti master 2023 teen patti download rummy teen patti