Central Tendency & DispersionPYQ Dec 22Question 2948 of 473
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The relationship between two variables x\displaystyle x and y\displaystyle y is given by 4x−10y=20\displaystyle 4x - 10y = 20. If the median value of the variable x\displaystyle x is 10 then what is median value of variable y\displaystyle y?

Options

A4.0
B2.0
C3.0
D4.0
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Correct Answer

✅ Option b — 2.0

All Options:

  • A4.0
  • B2.0
  • C3.0
  • D4.0

Detailed Solution & Explanation

We are given the relationship between the two variables x\displaystyle x and y\displaystyle y: 4x−10y=204x - 10y = 20 Since partition values (like the median) satisfy the linear relationship directly, we can substitute the median value of x\displaystyle x (which is 10\displaystyle 10) into the equation to find the median value of y\displaystyle y: 4(Medianx)−10(Mediany)=204(\text{Median}_x) - 10(\text{Median}_y) = 20 4(10)−10(Mediany)=204(10) - 10(\text{Median}_y) = 20 40−10(Mediany)=2040 - 10(\text{Median}_y) = 20 10(Mediany)=20  ⟹  Mediany=2.010(\text{Median}_y) = 20 \implies \text{Median}_y = 2.0 Hence, **Option B** is the correct answer.

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