Question
Download Solution PDFIf the median A and mode B of following distribution satisfy the relation 7(B - A) = 9C, then find the value of C:
| Class | 0-30 | 30-60 | 60-90 | 90-120 |
| Frequency | 4 | 5 | 7 | 4 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe Correct answer is Option 4.
Key Points
Given: The relation 7(B - A) = 9C , where A is the median and B is the mode.
Median (A)
Total frequency = 20, so N / 2 = 10
The median class is 60-90.
Using the median formula: A = 60 + 10 - 9 / 7 * 30 = 64.29
Mode (B)
The mode class is also 60-90.
Using the mode formula: B = ( 60 + 7 - 5 ) / ( 2(7) - 5 - 4}) * 30 = 72
Use the Given Relation
Substitute the values into the equation:
7(B - A) = 9C or 7(72 - 64.29) = 9C
Final Answer:
The value of C is 6.
Hence, Option 4 is correct.
Last updated on Jun 14, 2025
-> The RPSC RAS Mains Admit Card was released on 14 June for the exam scheduled on 17 and 18 June
-> The RPSC RAS Merit List was released for the prelims examination.
-> The RPSC RAS Prelims Response was released on the official website of RPSC. Objections against the same was submitted online between 3rd to 5th February 2025.
-> The RPSC RAS Prelims 2024 was held on 2nd February 2025.
->The selection process for this post includes a Prelims Written Test, Mains Written Test, and a Personality test/ Viva-voce.
-> Graduates between 21 to 40 years of age are eligible for this post.
-> Enhance your exam preparation with the RPSC RAS Previous Year Papers.