Central Tendency & DispersionMTP May 18Question 3082 of 473
All Questions

If the range of x\displaystyle x is 2\displaystyle 2, find range of −3x+50\displaystyle -3x + 50?

Options

A2
B6
C-6
D44
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — 6

All Options:

  • A2
  • B6
  • C-6
  • D44

Detailed Solution & Explanation

We are given the range of a variable x\displaystyle x is Rx=2\displaystyle R_x = 2. We want to find the range of the variable y=−3x+50\displaystyle y = -3x + 50. Range is a measure of dispersion, which is independent of change of origin (addition or subtraction of constants) but dependent on change of scale (multiplication by constants). For a linear transformation y=ax+b\displaystyle y = ax + b: Ry=∣a∣×RxR_y = |a| \times R_x Substitute the given values (a=−3\displaystyle a = -3 and Rx=2\displaystyle R_x = 2): Ry=∣−3∣×2=3×2=6R_y = |-3| \times 2 = 3 \times 2 = 6 Hence, **Option B** 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