Answer :

We have been given that,

Z – M = 2.5

⇒ M = Z – 2.5 …(i)

And …(ii)

Here, Z = Mode,

M = Median

&

So, by empirical relationship we have,

Mode = 3 (Median) – 2 (Mean)

⇒

Putting equations (i) and (ii) in the above equation, we get

Z = 3(Z – 2.5) – 2×20

⇒ Z = 3Z – 7.5 – 40

⇒ 3Z – Z = 40 + 7.5

⇒ 2Z = 47.5

⇒

⇒ Z = 23.75

**Thus, option (c) is correct.**

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