The median of the following set of observation: 24, 18, 36, 42, 30, 28, 21, 29, 25, 33 is

Option c: 28.5. Solution: We are given the observations: 24, 18, 36, 42, 30, 28, 21, 29, 25, 33. 1. Arrange the observations in ascending order: 18, 21, 24, 25, 28, 29, 30, 33, 36, 42 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: 28 - 6^{text{th}} term: 29 3. Calculate the median: text{Median} = 28 + 29/2 = 57/2 = 28.5 Hence, Option C is the correct answer.

The median of the following set of observation: $24, 18, 36, 42, 30, 28, 21, 29, 25, 33$ is

The correct answer is Option c: $28.5$. We are given the observations: $24, 18, 36, 42, 30, 28, 21, 29, 25, 33$. 1. Arrange the observations in ascending order: $$18, 21, 24, 25, 28, 29, 30, 33, 36, 42$$ 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: $28$ - $6^{\text{th}}$ term: $29$ 3. Calculate the median: $$\text{Median} = \frac{28 + 29}{2} = \frac{57}{2} = 28.5$$ Hence, **Option C** is the correct answer.

Central Tendency & DispersionPYQ Jun 23Question 2960 of 473

All Questions

The median of the following set of observation: $\displaystyle 24, 18, 36, 42, 30, 28, 21, 29, 25, 33$ is

Options

\displaystyle 26.5

\displaystyle 27.5

\displaystyle 28.5

\displaystyle 29.5

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Correct Answer

✅ Option c — $\displaystyle 28.5$

All Options:

A $\displaystyle 26.5$
B $\displaystyle 27.5$
C $\displaystyle 28.5$
D $\displaystyle 29.5$

Detailed Solution & Explanation

We are given the observations:

\displaystyle 24, 18, 36, 42, 30, 28, 21, 29, 25, 33

. 1. Arrange the observations in ascending order:

18, 21, 24, 25, 28, 29, 30, 33, 36, 42

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 28

\displaystyle 6^{\text{th}}

term:

\displaystyle 29

3. Calculate the median:

\text{Median} = \frac{28 + 29}{2} = \frac{57}{2} = 28.5

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

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The median of the following set of observation: 24,18,36,42,30,28,21,29,25,33\displaystyle 24, 18, 36, 42, 30, 28, 21, 29, 25, 3324,18,36,42,30,28,21,29,25,33 is