The median of 27, 30, 26, 44, 42, 51, 37 is

Option d: 37. Solution: We are given the observations: 27, 30, 26, 44, 42, 51, 37. 1. Arrange the observations in ascending order: 26, 27, 30, 37, 42, 44, 51 Here, the number of observations is n = 7 (which is odd). 2. The median is the n+1/2^{text{th}} observation: text{Position of Median} = 7+1/2 = 4^{text{th}} text{ observation} 3. The 4^{text{th}} observation in the ordered list is 37. Therefore, the median value is 37. Hence, Option D is the correct answer.

The median of $27, 30, 26, 44, 42, 51, 37$ is

The correct answer is Option d: $37$. We are given the observations: $27, 30, 26, 44, 42, 51, 37$. 1. Arrange the observations in ascending order: $$26, 27, 30, 37, 42, 44, 51$$ Here, the number of observations is $n = 7$ (which is odd). 2. The median is the $\frac{n+1}{2}^{\text{th}}$ observation: $$\text{Position of Median} = \frac{7+1}{2} = 4^{\text{th}} \text{ observation}$$ 3. The $4^{\text{th}}$ observation in the ordered list is $37$. Therefore, the median value is $37$. Hence, **Option D** is the correct answer.

Central Tendency & DispersionMTP Oct 21Question 2978 of 473

All Questions

The median of $\displaystyle 27, 30, 26, 44, 42, 51, 37$ is

Options

\displaystyle 30

\displaystyle 42

\displaystyle 44

\displaystyle 37

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Correct Answer

✅ Option d — $\displaystyle 37$

All Options:

A $\displaystyle 30$
B $\displaystyle 42$
C $\displaystyle 44$
D $\displaystyle 37$

Detailed Solution & Explanation

We are given the observations:

\displaystyle 27, 30, 26, 44, 42, 51, 37

. 1. Arrange the observations in ascending order:

26, 27, 30, 37, 42, 44, 51

Here, the number of observations is

\displaystyle n = 7

(which is odd). 2. The median is the

\displaystyle \frac{n+1}{2}^{\text{th}}

observation:

\text{Position of Median} = \frac{7+1}{2} = 4^{\text{th}} \text{ observation}

3. The

\displaystyle 4^{\text{th}}

observation in the ordered list is

\displaystyle 37

. Therefore, the median value is

\displaystyle 37

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

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The median of 27,30,26,44,42,51,37\displaystyle 27, 30, 26, 44, 42, 51, 3727,30,26,44,42,51,37 is