What values of k make the proportion of observations with |di| ≥ k meaningful?

[Mark53]

Homework Statement

Given that r≥(n-1)/(k^2)

a) Show that the proportion of observations for which |di | ≥ k cannot exceed 1/(k^2)

b) For what values of k is this meaningful.

The Attempt at a Solution

[/B]
a)

(r/n)≥(n-1)/(n*k^2)

(r/n)≥(n-1)/(n*k^2)

(r/n)≥(n)/(n*k^2) -1/(n*k^2)

1/(n*k^2)+(r/n) ≥ 1/(k^2)

Is this the correct way to solve it?

b)

would k only be meaningful if it does not =0

 

[mfb]

What are r,n,k,d_i?

It is clearly not meaningful for k=0, yes. For other values, it would help to have the variables defined.