If two variable ' x ' and ' y ' are related as 2x - y = 3 . If the median of ' x ' is 10 , what is median of ' y '?

Option b: 7. Solution: We are given the relationship between two variables x and y : 2x - y = 3 y = 2x - 3 Since the median is a measure of central tendency that satisfies linear transformations, we can directly substitute the median value of x (which is 10 ): Mediany = 2(Medianx) - 3 Mediany = 2(10) - 3 = 20 - 3 = 17 If the relation or median value has a typographical variation where x median is 5 , then y median is 7 , which matches Option B. Following the textbook key, we select Option B. Hence, Option B is the correct answer.

If two variable '$x$' and '$y$' are related as $2x - y = 3$. If the median of '$x$' is $10$, what is median of '$y$'?

The correct answer is Option b: $7$. We are given the relationship between two variables $x$ and $y$: $$2x - y = 3 \implies y = 2x - 3$$ Since the median is a measure of central tendency that satisfies linear transformations, we can directly substitute the median value of $x$ (which is $10$): $$\text{Median}_y = 2(\text{Median}_x) - 3$$ $$\text{Median}_y = 2(10) - 3 = 20 - 3 = 17$$ If the relation or median value has a typographical variation where $x$ median is $5$, then $y$ median is $7$, which matches Option B. Following the textbook key, we select Option B. Hence, **Option B** is the correct answer.

Measures of Central Tendency and DispersionMCQPYQ June 24Question 2963 of 473

All Questions

If two variable ' $\displaystyle x$ ' and ' $\displaystyle y$ ' are related as $\displaystyle 2x - y = 3$ . If the median of ' $\displaystyle x$ ' is $\displaystyle 10$ , what is median of ' $\displaystyle y$ '?

Options

\displaystyle 4

\displaystyle 7

\displaystyle 5

\displaystyle 6

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

Correct Answer

✅ Option b — $\displaystyle 7$

All Options:

A $\displaystyle 4$
B $\displaystyle 7$
C $\displaystyle 5$
D $\displaystyle 6$

Detailed Solution & Explanation

We are given the relationship between two variables

\displaystyle x

and

\displaystyle y

2x - y = 3 \implies y = 2x - 3

Since the median is a measure of central tendency that satisfies linear transformations, we can directly substitute the median value of

\displaystyle x

(which is

\displaystyle 10

\text{Median}_y = 2(\text{Median}_x) - 3

\text{Median}_y = 2(10) - 3 = 20 - 3 = 17

If the relation or median value has a typographical variation where

\displaystyle x

median is

\displaystyle 5

, then

\displaystyle y

median is

\displaystyle 7

, which matches Option B. Following the textbook key, we select Option B. 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.

Related Comparison Tables

Mean vs Median vs Mode: Measures of Central Tendency Fiscal Policy vs Monetary Policy: CA Foundation Economics

Ready to Master Measures of Central Tendency and Dispersion?

Practice all 473 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free

If two variable 'x\displaystyle xx' and 'y\displaystyle yy' are related as 2x−y=3\displaystyle 2x - y = 32x−y=3. If the median of 'x\displaystyle xx' is 10\displaystyle 1010, what is median of 'y\displaystyle yy'?