If the relationship between x and y is 4x - 6y = 13 & median of x is 16. Find median of y.

Option c: 8.50. Solution: We are given the relationship between x and y: 4x - 6y = 13 Since the median satisfies linear transformations, we can directly substitute the median value of x (which is 16) to find the median value of y: 4(text{Median}x) - 6(text{Median}y) = 13 4(16) - 6(text{Median}y) = 13 64 - 6(text{Median}y) = 13 6(text{Median}y) = 64 - 13 = 51 text{Median}y = 51/6 = 8.50 Hence, Option C is the correct answer.

If the relationship between $x$ and $y$ is $4x - 6y = 13$ & median of $x$ is $16$. Find median of $y$.

The correct answer is Option c: $8.50$. We are given the relationship between $x$ and $y$: $$4x - 6y = 13$$ Since the median satisfies linear transformations, we can directly substitute the median value of $x$ (which is $16$) to find the median value of $y$: $$4(\text{Median}_x) - 6(\text{Median}_y) = 13$$ $$4(16) - 6(\text{Median}_y) = 13$$ $$64 - 6(\text{Median}_y) = 13$$ $$6(\text{Median}_y) = 64 - 13 = 51$$ $$\text{Median}_y = \frac{51}{6} = 8.50$$ Hence, **Option C** is the correct answer.

Central Tendency & DispersionMTP June 24 Series IIQuestion 2987 of 473

All Questions

If the relationship between $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 4x - 6y = 13$ & median of $\displaystyle x$ is $\displaystyle 16$ . Find median of $\displaystyle y$ .

Options

\displaystyle 7.50

\displaystyle 8

\displaystyle 8.50

DNone of these

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

Correct Answer

✅ Option c — $\displaystyle 8.50$

All Options:

A $\displaystyle 7.50$
B $\displaystyle 8$
C $\displaystyle 8.50$
DNone of these

Detailed Solution & Explanation

We are given the relationship between

\displaystyle x

and

\displaystyle y

4x - 6y = 13

Since the median satisfies linear transformations, we can directly substitute the median value of

\displaystyle x

(which is

\displaystyle 16

) to find the median value of

\displaystyle y

4(\text{Median}_x) - 6(\text{Median}_y) = 13

4(16) - 6(\text{Median}_y) = 13

64 - 6(\text{Median}_y) = 13

6(\text{Median}_y) = 64 - 13 = 51

\text{Median}_y = \frac{51}{6} = 8.50

Hence, **Option C** is the correct answer.

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If the relationship between x\displaystyle xx and y\displaystyle yy is 4x−6y=13\displaystyle 4x - 6y = 134x−6y=13 & median of x\displaystyle xx is 16\displaystyle 1616. Find median of y\displaystyle yy.