The median value of the set of observations 48, 36, 72, 87, 19, 66, 56 and 91

Option c: 61. Solution: We are given the set of observations: 48, 36, 72, 87, 19, 66, 56, 91. 1. Arrange the observations in ascending order: 19, 36, 48, 56, 66, 72, 87, 91 Here, the number of observations is n = 8 (which is even). 2. The median is the average of the two middle-most values (the 4^{text{th}} and 5^{text{th}} values): - 4^{text{th}} value: 56 - 5^{text{th}} value: 66 3. Calculate the median: text{Median} = 56 + 66/2 = 122/2 = 61 Hence, Option C is the correct answer.

The median value of the set of observations $48, 36, 72, 87, 19, 66, 56$ and $91$

The correct answer is Option c: $61$. We are given the set of observations: $48, 36, 72, 87, 19, 66, 56, 91$. 1. Arrange the observations in ascending order: $$19, 36, 48, 56, 66, 72, 87, 91$$ Here, the number of observations is $n = 8$ (which is even). 2. The median is the average of the two middle-most values (the $4^{\text{th}}$ and $5^{\text{th}}$ values): - $4^{\text{th}}$ value: $56$ - $5^{\text{th}}$ value: $66$ 3. Calculate the median: $$\text{Median} = \frac{56 + 66}{2} = \frac{122}{2} = 61$$ Hence, **Option C** is the correct answer.

Central Tendency & DispersionMTP March 22Question 2979 of 473

All Questions

The median value of the set of observations $\displaystyle 48, 36, 72, 87, 19, 66, 56$ and $\displaystyle 91$

Options

\displaystyle 53

\displaystyle 87

\displaystyle 61

\displaystyle 19

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

Correct Answer

✅ Option c — $\displaystyle 61$

All Options:

A $\displaystyle 53$
B $\displaystyle 87$
C $\displaystyle 61$
D $\displaystyle 19$

Detailed Solution & Explanation

We are given the set of observations:

\displaystyle 48, 36, 72, 87, 19, 66, 56, 91

. 1. Arrange the observations in ascending order:

19, 36, 48, 56, 66, 72, 87, 91

Here, the number of observations is

\displaystyle n = 8

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

\displaystyle 4^{\text{th}}

and

\displaystyle 5^{\text{th}}

values): -

\displaystyle 4^{\text{th}}

value:

\displaystyle 56

\displaystyle 5^{\text{th}}

value:

\displaystyle 66

3. Calculate the median:

\text{Median} = \frac{56 + 66}{2} = \frac{122}{2} = 61

Hence, **Option C** 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 value of the set of observations 48,36,72,87,19,66,56\displaystyle 48, 36, 72, 87, 19, 66, 5648,36,72,87,19,66,56 and 91\displaystyle 9191