Central Tendency & DispersionPYQ June 19Question 3218 of 473
All Questions

Coefficient of quartile deviation is 1/4\displaystyle 1/4 then Q3/Q1\displaystyle Q_3 / Q_1

Options

A53\displaystyle \frac{5}{3}
B43\displaystyle \frac{4}{3}
C34\displaystyle \frac{3}{4}
D35\displaystyle \frac{3}{5}
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — 53\displaystyle \frac{5}{3}

All Options:

  • A53\displaystyle \frac{5}{3}
  • B43\displaystyle \frac{4}{3}
  • C34\displaystyle \frac{3}{4}
  • D35\displaystyle \frac{3}{5}

Detailed Solution & Explanation

We are given the coefficient of quartile deviation is 14\displaystyle \frac{1}{4}: Coefficient of Q.D.=Q3−Q1Q3+Q1=14\text{Coefficient of Q.D.} = \frac{Q_3 - Q_1}{Q_3 + Q_1} = \frac{1}{4} Cross-multiply to solve for the ratio Q3Q1\displaystyle \frac{Q_3}{Q_1}: 4(Q3−Q1)=Q3+Q14(Q_3 - Q_1) = Q_3 + Q_1 4Q3−4Q1=Q3+Q14Q_3 - 4Q_1 = Q_3 + Q_1 3Q3=5Q1  ⟹  Q3Q1=533Q_3 = 5Q_1 \implies \frac{Q_3}{Q_1} = \frac{5}{3} Hence, **Option A** 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