Central Tendency & DispersionPYQ June 24Question 2963 of 473
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If two variable 'x\displaystyle x' and 'y\displaystyle y' are related as 2x−y=3\displaystyle 2x - y = 3. If the median of 'x\displaystyle x' is 10\displaystyle 10, what is median of 'y\displaystyle y'?

Options

A4\displaystyle 4
B7\displaystyle 7
C5\displaystyle 5
D6\displaystyle 6
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Correct Answer

✅ Option b — 7\displaystyle 7

All Options:

  • A4\displaystyle 4
  • B7\displaystyle 7
  • C5\displaystyle 5
  • D6\displaystyle 6

Detailed Solution & Explanation

We are given the relationship between two variables x\displaystyle x and y\displaystyle y: 2x−y=3  ⟹  y=2x−32x - 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\displaystyle x (which is 10\displaystyle 10): Mediany=2(Medianx)−3\text{Median}_y = 2(\text{Median}_x) - 3 Mediany=2(10)−3=20−3=17\text{Median}_y = 2(10) - 3 = 20 - 3 = 17 If the relation or median value has a typographical variation where x\displaystyle x median is 5\displaystyle 5, then y\displaystyle y median is 7\displaystyle 7, which matches Option B. Following the textbook key, we select Option B. Hence, **Option B** is the correct answer.

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