The median of the data 5, 6, 7, 8, 9, 10, 11, 12, 15, 18 , and 19 is

Option b: 10. Solution: We are given the dataset: 5, 6, 7, 8, 9, 10, 11, 12, 15, 18, 19 . 1. Check if the observations are in ascending order: 5, 6, 7, 8, 9, 10, 11, 12, 15, 18, 19 Yes, they are already in ascending order. 2. The number of observations is n = 11 (which is odd). 3. The median is the n+1/2th observation: Position of Median = 11+1/2 = 6th observation 4. The 6th observation in the sorted list is 10 . While some textbook answer keys mistakenly list Option D due to parsing errors, the mathematically correct median is 10 . Hence, Option B is the correct answer.

The median of the data $5, 6, 7, 8, 9, 10, 11, 12, 15, 18$, and $19$ is

The correct answer is Option b: 10. We are given the dataset: $5, 6, 7, 8, 9, 10, 11, 12, 15, 18, 19$. 1. Check if the observations are in ascending order: $$5, 6, 7, 8, 9, 10, 11, 12, 15, 18, 19$$ Yes, they are already in ascending order. 2. The number of observations is $n = 11$ (which is odd). 3. The median is the $\frac{n+1}{2}^{\text{th}}$ observation: $$\text{Position of Median} = \frac{11+1}{2} = 6^{\text{th}} \text{ observation}$$ 4. The $6^{\text{th}}$ observation in the sorted list is $10$. While some textbook answer keys mistakenly list Option D due to parsing errors, the mathematically correct median is $10$. Hence, **Option B** is the correct answer.

Measures of Central Tendency and DispersionMCQPYQ Nov 18Question 2950 of 473

All Questions

The median of the data $\displaystyle 5, 6, 7, 8, 9, 10, 11, 12, 15, 18$ , and $\displaystyle 19$ is

Options

A10.5

B10

C11

D11.5

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

Correct Answer

✅ Option b — 10

All Options:

A10.5
B10
C11
D11.5

Detailed Solution & Explanation

We are given the dataset:

\displaystyle 5, 6, 7, 8, 9, 10, 11, 12, 15, 18, 19

. 1. Check if the observations are in ascending order:

5, 6, 7, 8, 9, 10, 11, 12, 15, 18, 19

Yes, they are already in ascending order. 2. The number of observations is

\displaystyle n = 11

(which is odd). 3. The median is the

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

observation:

\text{Position of Median} = \frac{11+1}{2} = 6^{\text{th}} \text{ observation}

4. The

\displaystyle 6^{\text{th}}

observation in the sorted list is

\displaystyle 10

. While some textbook answer keys mistakenly list Option D due to parsing errors, the mathematically correct median is

\displaystyle 10

. Hence, **Option B** 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 the data 5,6,7,8,9,10,11,12,15,18\displaystyle 5, 6, 7, 8, 9, 10, 11, 12, 15, 185,6,7,8,9,10,11,12,15,18, and 19\displaystyle 1919 is