If the sum of the squares of difference of ranks of 6 candidates in two criteria is 21, the rank correlation coefficient is __________.

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
View all SSC CGL Papers >
  1. 0.5
  2. 0.6
  3. 0.4
  4. 0.7

Answer (Detailed Solution Below)

Option 3 : 0.4
super-subscription-prototype
Free
PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
3.1 Lakh Users
25 Questions 50 Marks 12 Mins

Detailed Solution

Download Solution PDF

Formula

Spearman’s rank correlation coefficient is denoted by ρ

ρ = 1 – [6∑d2/n(n2 – 1)]

d = difference between rank of paied items  of x and y variables

∑d2 = total of squares of rank differences

n = number of pairs of items

Given

∑d2 = ∑(R1 – R2)2 = 21

n = 6

Calculation

ρ = 1 – [6 × 21/6(62 – 1)

ρ = 1 – 21/35

ρ = 14/35

The rank correlation coefficient is 0.4

Latest SSC CGL Updates

Last updated on Jun 13, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

Get Free Access Now
Hot Links: teen patti master apk download teen patti go teen patti bodhi teen patti baaz teen patti circle