All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
UGC NET Exam  >  UGC NET Questions  >  Consider a dataset A with 55 distinct observa... Start Learning for Free
SaveJoin the Discussion on the App
Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?
  • a)
    Mean of C = 2023 + Mean of A
  • b)
    Variance of C = Variance of A.
  • c)
    (Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.
  • d)
    Median of C = 2023 + Median of A.
Correct answer is option 'C'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Most Upvoted Answer
Consider a dataset A with 55 distinct observations. A new dataset C is...
Explanation:

Mean:
Adding a constant value to each observation in a dataset will also add the same constant to the mean of the dataset. Therefore, the mean of dataset C will be equal to 2023 plus the mean of dataset A.

Variance:
Adding a constant value to each observation in a dataset does not change the variance of the dataset. Therefore, the variance of dataset C will be equal to the variance of dataset A.

(Maximum - Minimum):
Adding a constant value to each observation in a dataset does not change the difference between the maximum and minimum values. Therefore, the difference between the maximum and minimum values of dataset C will be equal to the difference between the maximum and minimum values of dataset A.

Median:
Adding a constant value to each observation in a dataset will also add the same constant to the median of the dataset. Therefore, the median of dataset C will be equal to 2023 plus the median of dataset A.

Therefore, the statement that is NOT true is:
(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
Consider a dataset A with 55 distinct observations. A new dataset C is...
When any constant a is added to all elements of a dataset, the mean and median are increased by the same constant.
⇒ Mean of C = 2023 + Mean of A
Also, Median of C = 2023 + Median of A
On adding a constant to all elements of dataset, there is no change in the variance and the range(maximum - minimum).
⇒ Variance of C = Variance of A
And, Range of C = Range of A
⇒ (Maximum – Minimum) of C = (Maximum – Minimum) of A
∴ The incorrect statement is (Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.
< Previous Question Next Question >
Explore Courses for UGC NET exam

Similar UGC NET Doubts

Directions: Read the following passage carefully and answer the question.The phrase “What is it like?“ stands for a fundamental thought process. How does one go about observing and reporting on things and events that occupy segments of earth space? Of all the infinite variety of phenomena on the face of the earth, how does one decide what phenomena to observe? There is no such thing as a complete description of the earth or any part of it, for every microscopic point on the earth’s surface differs from every other such point. Experience shows that the things observed are already familiar, because they are like phenomena that occur at home or because they resemble the abstract images and models developed in the human mind.How are abstract images formed? Humans alone among the animals possess language; their words symbolise not only specific things but also mental images of classes of things. People can remember what they have seen or experienced because they attach a word symbol to them.During the long record of our efforts to gain more and more knowledge about the face of the earth as the human habitat, there has been a continuing interplay between things and events. The direct observation through the senses is described as a percept; the mental image is described as a concept. Percepts are what some people describe as reality, in contrast to mental images, which are theoretical, implying that they are not real.The relation of Percept to Concept is not as simple as the definition implies. It is now quite clear that people of different cultures or even individuals in the same culture develop different mental images of reality and what they perceive is a reflection of these preconceptions. The direct observation of things and events on the face of the earth is so clearly a function of the mental images of the mind of the observer that the whole idea of reality must be reconsidered.Concepts determine what the observer perceives, yet concepts are derived from the generalisations of previous percepts. What happens is that the educated observer is taught to accept a set of concepts and then he/she sharpens or changes these concepts during a professional career. In any one field of scholarship, professional opinion at one time determines what concepts and procedures are acceptable, and these form a kind of model of scholarly behaviour.Q.According to the passage, human beings have mostly in mind

Top Courses for UGC NETView all

Top Courses for UGC NET

Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer?
Question Description
Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UGC NET. Download more important topics, notes, lectures and mock test series for UGC NET Exam by signing up for free.
Here you can find the meaning of Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider a dataset A with 55 distinct observations. A new dataset C is created by adding 2023 to all observations in dataset A. Which of the following is NOT true?a)Mean of C = 2023 + Mean of Ab)Variance of C = Variance of A.c)(Maximum – Minimum) of C = 2023 + (Maximum – Minimum) of A.d)Median of C = 2023 + Median of A.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice UGC NET tests.
Explore Courses for UGC NET exam

Top Courses for UGC NET

Explore Courses

Suggested Free Tests

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
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup