Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi
Bengali

Question

Download Solution PDF

The coefficient of correlation between two variables X and Y is 0.48. The covariance is 36. The variance of X is 16. The standard deviation of Y is:

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
Download PDF Attempt Online
View all SSC CGL Papers >
  1. 10.15
  2. 13.32
  3. 16.5
  4. 18.75

Answer (Detailed Solution Below)

Option 4 : 18.75
super-subscription-prototype
Free Tests
View all Free tests >
Free
PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
3.1 Lakh Users
25 Questions 50 Marks 12 Mins
Start Now

Detailed Solution

Download Solution PDF

Given

σx = √16 = 4

r = 0.48

Covariance = ∑xy/N = 36

Fomula

Covariance = ∑xy/N

r = ∑xy/N.σx × σy

Calculation

According to question

⇒ 0.48 = 36/4 × σy

⇒ σy = 9/0.48

∴ The standard deviation of y(σy) is 18.75

Download Solution PDF
Latest SSC CGL Updates

Last updated on Jun 11, 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. 

More Correlation Analysis Questions

Q1.Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): If the securities with less than perfect negative correlation between their price movements are combined, portfolio risk can be reduced significantly. Reason (R): The term with negative correlation has the effect of reducing the computed value of total portfolio risk, given other terms that are positive. In the light of the above statements, choose the most appropriate answer from the options given below:
Q2.If r and R denote correlation and multiple correlation coefficient for the data set for X1, X2 and X3. Which option is correct?
Q3.For an experiment we have the following data set: n = 4, ∑x = a, ∑y = 10, ∑xy = 21, ∑x2 = 30, ∑y2 = 30. If the correlation coefficient is -0.8 then the value of a is:
Q4.What type of relationship exists between two variables, if all points on the scatter diagram appear to fall on a straight line going upward from left to right?
Q5.Suppose rxy is the correlation coefficient between two variables X and Y where s.d.(X) = s.d.(Y). If θ is the angle between the two regression lines of Y on X and X on Y then:
Q6.If a data set contains n paired values on two variables x(independent) and y(dependent), then their plot is called:
Q7.For a trivariate distribution, if the correlation coefficients are r12 = r13 = r23 = r, -1 < r < 1, then r12.3 is:
Q8.If the regression line of Y on X is Y = 30 - 0.9X and the standard deviations are Sx = 2 and Sy = 9, then the value of the correlation coefficient rxy is :
Q9.The coefficient of correlation between two variables X and Y is 0.48. The covariance is 36. The variance of X is 16. The standard deviation of Y is:
Q10.The correlation coefficient between two variables X and Y is 0.4. The correlation coefficient between 2X and (-Y) will be:

More Probability and Statistics Questions

Q1.An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value k when k consecutive heads are obtained for k = 3, 4, 5, otherwise 𝑋 takes the value -1. The expected value of X, is
Q2.A bag contains 7 white, 6 red and 9 black balls. Two balls are drawn at random, the probability that the ball will be black is :
Q3.In formula \(\rm \overline X=A+\frac{\Sigma fiμ i}{\Sigma f}\times h\), μi = ?
Q4.A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7 or 8 as shown. Two such disks are used in a game where their arrows are independently spun. What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest? 
Q5.Given a fair six-faced dice where the faces are labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, what is the probability of getting a ‘1’ on the first roll of the dice and a ‘4’ on the second roll?
Q6.Dimension reduction methods have the goal of using the correlation structure among the predictor variables to accomplish which of the following: A. To reduce the number of predictor components B. To help ensure that these components are dependent C. To provide a framework for interpretability of the results D. To help ensure that these components are independent E. To increase the number of predictor components Choose the correct answer from the options given below: 
Q7.A man draws 3 balls from a jug containing 5 white balls and 7 black balls. He gets Rs. 20 for each white ball and Rs. 10 for each black ball. What is his expectation?
Q8.If f(x) is a probability density on the real line, then which of the following is NOT a valid probability density?
Q9.Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): If the securities with less than perfect negative correlation between their price movements are combined, portfolio risk can be reduced significantly. Reason (R): The term with negative correlation has the effect of reducing the computed value of total portfolio risk, given other terms that are positive. In the light of the above statements, choose the most appropriate answer from the options given below:
Q10.A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Further, even- and odd-numbered vehicles are operated on even- and odd-numbered dates, respectively. If 100 vehicles are chosen at random on an even-numbered date, the number of vehicles expected without pollution clearance certificate is ________.
Crack Super Subscription Model with
India's Super Teachers
Explore Supercoaching For FREE
Suggested Test Series
View All >
SSC CGL (Tier I & Tier II) Mock Test 2025 (New)
1112 Total Tests with 3 Free Tests
Start Free Test
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with   4 Free Tests
Start Free Test
Suggested Exams
Exam-Logo
SSC CGL

SSC CGL Important Links

More Engineering Mathematics Questions

Q1.If L = {1, 2, 3, 4, 6, 9, 36} is the lattice find the number of complements 9 is having in the below given Hasse diagram?
Q2.Which of the following statements is/are TRUE for undirected graphs?
Q3.A flip-flop is used to store the ____________.
Q4.Let \(\rm \begin{pmatrix}2&a\\\ b&c\end{pmatrix}\) be a 2 x 2 real matrix for which 6 is an eigenvalue. Which of the following statements is necessarily true?
Q5.If the value of the approximate solution of the initial value problem   \(\rm \left\{\begin{matrix}y'(x)=x(y(x)+1), &x\in R\\\ y(0)=β \end{matrix}\right.\) at x = 0.2 using the forward Euler method with step size 0.1 is 1.02, then the value of β is 
Q6.The system of linear equations 3x – 2y – kz = 10 2x – 4y – 2z = 6 x + 2y – z = 5m is inconsistent if :
Q7.The statement among the following that is a tautology is:
Q8.The logical statement (p ⇒ q) ∧ (q ⇒∼ p) is equivalent to
Q9.An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value k when k consecutive heads are obtained for k = 3, 4, 5, otherwise 𝑋 takes the value -1. The expected value of X, is
Q10.For the statements p and q, consider the following compound statements: (a) (~q∧(p → q)) → ~p (b) ((p∨q))∧~p) → q Then which of the following statements is correct?
Exams
Test Series
Previous Year Papers
Syllabus
Cut Off
Eligibility
Coaching
Important Exams
Super Coaching
Testbook USA SAT Exam
Testbook USA ACT Exam
US College Admissions Guide
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti earning app teen patti all games teen patti master 2025 teen patti game - 3patti poker teen patti master downloadable content