Central Tendency & DispersionMTP Nov 20Question 3104 of 473

If the relation between $\displaystyle x$ and $\displaystyle y$ is $\displaystyle 5y - 3x = 10$ and the mean deviation about mean for $\displaystyle x$ is $\displaystyle 12$ , then the mean deviation of $\displaystyle y$ about mean is

\displaystyle 9.20

\displaystyle 6.80

\displaystyle 7.20

\displaystyle 15.80

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Correct Answer

✅ Option c — $\displaystyle 7.20$

We are given the relationship between variables

\displaystyle x

and

\displaystyle y

5y - 3x = 10 \implies 5y = 3x + 10 \implies y = 0.6x + 2

Since mean deviation is independent of change of origin but dependent on change of scale, for

\displaystyle y = ax + b

\text{M.D.}_y = |a| \times \text{M.D.}_x

\n Substitute the given values (

\displaystyle a = 0.6

and

\displaystyle \text{M.D.}_x = 12

\text{M.D.}_y = 0.6 \times 12 = 7.20

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

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