Central Tendency & DispersionPYQ Nov. 19Question 3123 of 473
All Questions

Origin is shifted by 5\displaystyle 5, what will happen

Options

ASD will increase by 5\displaystyle 5
BQD will increase by 5\displaystyle 5
CMD will increase by 5\displaystyle 5
DThere will be no change in SD
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — There will be no change in SD

All Options:

  • ASD will increase by 5\displaystyle 5
  • BQD will increase by 5\displaystyle 5
  • CMD will increase by 5\displaystyle 5
  • DThere will be no change in SD

Detailed Solution & Explanation

A shift of origin occurs when a constant is added to or subtracted from every observation in a dataset. Measures of dispersion (such as Standard Deviation, Mean Deviation, and Quartile Deviation) are completely independent of change of origin. Therefore, if the origin is shifted by 5\displaystyle 5, there will be no change in the value of the standard deviation. Hence, **Option D** is the correct answer.

More Questions from Central Tendency & Dispersion

If the range of 28,22,40,20,15,50\displaystyle 28, 22, 40, 20, 15, 50 is

If the S.D. of the 1st\displaystyle 1^{st} n\displaystyle n natural numbers is 30\displaystyle \sqrt{30} then the value of n\displaystyle n is

If the variance of 5,7,9\displaystyle 5, 7, 9 and 11\displaystyle 11 is 4\displaystyle 4, then the coefficient of variation is:

A helicopter flies from A to B at the rate of 500 km/hr. and comes back at the rate 700 km/hr. The average speed of the helicopter is

If Arithmetic Mean (A.M.) and Geometric Mean (G.M.) of two numbers are 6.50 and 6 respectively, then the two numbers are

Which of the following is not a method of dispersion?

Ready to Master Central Tendency & Dispersion?

Practice all 473 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free