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+1/2th observation: Position of Median = 7+1/2 = 4th observation 3. The 4th 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.

Measures of Central Tendency and DispersionMCQMTP 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.

About This Chapter: Measures of Central Tendency and Dispersion

Paper

Paper 3: Quantitative Aptitude

Weightage

12-15 Marks

Key Topics

Mean, Median, Mode, Range, Mean Deviation, Standard Deviation

The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.

View Official ICAI Syllabus

Exam Strategy Tip

Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.

Key Concepts to Understand

Median

The middle value of a data set when arranged in ascending or descending order. It divides the distribution into two equal halves. For even n: Median = average of (n/2)th and (n/2 + 1)th values. It is NOT affected by extreme values.

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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