The median of the observations 42, 72, 35, 92, 67, 85, 72, 81, 51, 56 is:

Option a: 69.5. Solution: We are given the observations: 42, 72, 35, 92, 67, 85, 72, 81, 51, 56. 1. Arrange the data in ascending order: 35, 42, 51, 56, 67, 72, 72, 81, 85, 92 Here, the number of observations is n = 10 (which is even). 2. The median is the average of the two middle-most values (the 5^{text{th}} and 6^{text{th}} terms): - 5^{text{th}} term: 67 - 6^{text{th}} term: 72 3. Calculate the median: text{Median} = 67 + 72/2 = 139/2 = 69.5 Hence, Option A is the correct answer.

The median of the observations $42, 72, 35, 92, 67, 85, 72, 81, 51, 56$ is:

The correct answer is Option a: $69.5$. We are given the observations: $42, 72, 35, 92, 67, 85, 72, 81, 51, 56$. 1. Arrange the data in ascending order: $$35, 42, 51, 56, 67, 72, 72, 81, 85, 92$$ Here, the number of observations is $n = 10$ (which is even). 2. The median is the average of the two middle-most values (the $5^{\text{th}}$ and $6^{\text{th}}$ terms): - $5^{\text{th}}$ term: $67$ - $6^{\text{th}}$ term: $72$ 3. Calculate the median: $$\text{Median} = \frac{67 + 72}{2} = \frac{139}{2} = 69.5$$ Hence, **Option A** is the correct answer.

Central Tendency & DispersionPYQ Dec 22Question 2959 of 473

All Questions

The median of the observations $\displaystyle 42, 72, 35, 92, 67, 85, 72, 81, 51, 56$ is:

Options

\displaystyle 69.5

\displaystyle 72

\displaystyle 64

\displaystyle 61.5

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

Correct Answer

✅ Option a — $\displaystyle 69.5$

All Options:

A $\displaystyle 69.5$
B $\displaystyle 72$
C $\displaystyle 64$
D $\displaystyle 61.5$

Detailed Solution & Explanation

We are given the observations:

\displaystyle 42, 72, 35, 92, 67, 85, 72, 81, 51, 56

. 1. Arrange the data in ascending order:

35, 42, 51, 56, 67, 72, 72, 81, 85, 92

Here, the number of observations is

\displaystyle n = 10

(which is even). 2. The median is the average of the two middle-most values (the

\displaystyle 5^{\text{th}}

and

\displaystyle 6^{\text{th}}

terms): -

\displaystyle 5^{\text{th}}

term:

\displaystyle 67

\displaystyle 6^{\text{th}}

term:

\displaystyle 72

3. Calculate the median:

\text{Median} = \frac{67 + 72}{2} = \frac{139}{2} = 69.5

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

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

The median of the observations 42,72,35,92,67,85,72,81,51,56\displaystyle 42, 72, 35, 92, 67, 85, 72, 81, 51, 5642,72,35,92,67,85,72,81,51,56 is: