CA Foundation Exam  >  CA Foundation Questions  >  If the rank correlation coefficient between m... Start Learning for Free
If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?
  • a)
    10
  • b)
    9
  • c)
    8
  • d)
    11
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the rank correlation coefficient between marks in management and ma...
Given:
- Rank correlation coefficient = 0.6
- Sum of squares of differences in ranks = 66

To find:
- Number of students in the group

Solution:
Let there be 'n' students in the group.

Finding the value of n:
- The sum of the first 'n' natural numbers is n(n+1)/2.
- Therefore, the sum of the ranks of the students in management and mathematics combined is n(n+1).
- Since each student has a rank in both subjects, the sum of their ranks should be counted twice, so we need to divide by 2.
- Therefore, the sum of the ranks in each subject is n(n+1)/2.

Finding the value of the rank correlation coefficient:
- The formula for rank correlation coefficient is given as:

r = 1 - (6∑d^2)/(n(n^2-1))

where,
d = difference in ranks
n = number of pairs of observations

- Here, the sum of squares of differences in ranks is given as 66.
- So, 6∑d^2 = 6(66) = 396.

Substituting the given values in the formula for r, we get:

0.6 = 1 - (396)/(n(n^2-1))

Simplifying this expression, we get:

0.6n^3 - 0.6n - 396.4 = 0

Using trial and error method, we can find that n=10 satisfies the above equation.

Therefore, the number of students in the group is 10.

Answer: Option (a) 10.
Free Test
Community Answer
If the rank correlation coefficient between marks in management and ma...
Explore Courses for CA Foundation exam
If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer?
Question Description
If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer?.
Solutions for If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?a)10b)9c)8d)11Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev