Central Tendency & DispersionPYQ Dec 23Question 3228 of 473
All Questions

If the quartile deviation is 12\displaystyle 12 and the first quartile is 25\displaystyle 25, then the value of the third quartile is:

Options

A37\displaystyle 37
B49\displaystyle 49
C61\displaystyle 61
D60\displaystyle 60
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — 49\displaystyle 49

All Options:

  • A37\displaystyle 37
  • B49\displaystyle 49
  • C61\displaystyle 61
  • D60\displaystyle 60

Detailed Solution & Explanation

We are given: - Quartile deviation (Q.D.) = 12\displaystyle 12 - First quartile (Q1\displaystyle Q_1) = 25\displaystyle 25 The formula for quartile deviation is: Q.D.=Q3−Q12\text{Q.D.} = \frac{Q_3 - Q_1}{2} Substitute the given values: 12=Q3−25212 = \frac{Q_3 - 25}{2} 24=Q3−25impliesQ3=4924 = Q_3 - 25 \\implies Q_3 = 49 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