Central Tendency & DispersionMTP June 24 Series IIIQuestion 3072 of 473

When the mean is $\displaystyle 3.57$ and mode is $\displaystyle 2.13$ , then the value of median is _______.

Options

A

\displaystyle 3.09

B

\displaystyle 5.01

C

\displaystyle 5.01

DNone of these

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — $\displaystyle 3.09$

All Options:

A $\displaystyle 3.09$
B $\displaystyle 5.01$
C $\displaystyle 5.01$
DNone of these

Detailed Solution & Explanation

**Step 1: Apply the empirical formula.**

\text{Mode} = 3\text{Median} - 2\text{Mean}

**Step 2: Substitute values.**

2.13 = 3\text{Median} - 2(3.57)

2.13 = 3\text{Median} - 7.14

3\text{Median} = 9.27

\text{Median} = 3.09

Hence, **Option A** is the correct answer.

More Questions from Central Tendency & Dispersion

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

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

If the variance of $\displaystyle 5, 7, 9$ and $\displaystyle 11$ is $\displaystyle 4$ , 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