Central Tendency & DispersionMTP Nov 19Question 2972 of 473
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Two variables x\displaystyle x and y\displaystyle y are given by y=2x−3\displaystyle y = 2x - 3. If the median of x\displaystyle x is 20\displaystyle 20, what is the median of y\displaystyle y?

Options

A20\displaystyle 20
B35\displaystyle 35
C37\displaystyle 37
D40\displaystyle 40
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Correct Answer

✅ Option c — 37\displaystyle 37

All Options:

  • A20\displaystyle 20
  • B35\displaystyle 35
  • C37\displaystyle 37
  • D40\displaystyle 40

Detailed Solution & Explanation

We are given the relationship between two variables x\displaystyle x and y\displaystyle y: y=2x−3y = 2x - 3 Since the median satisfies linear transformations, we can directly substitute the median value of x\displaystyle x (which is 20\displaystyle 20) to find the median value of y\displaystyle y: Mediany=2(Medianx)−3\text{Median}_y = 2(\text{Median}_x) - 3 Mediany=2(20)−3=40−3=37\text{Median}_y = 2(20) - 3 = 40 - 3 = 37 Hence, **Option C** is the correct answer.

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