Question

For the data, 0, 1, – 1, 1, 2, which of the following is TRUE? 

A) Mean = Median = Mode 

B) Mean = Median ≠ Mode 

C) Mean ≠ Median ≠ Mode 

D) Mean ≠ Median = Mode

Answer 1

Correct option is (D) Mean ≠ Median = Mode

Mean of given data \(=\frac{0+1+(-1)+1+2}5=\frac{3}5\)

Observations in increased order are -1, 0, 1, 1, 2.

\(\therefore\) Median \(=(\frac{5+1}2)^{th}\) observation

\(=3^{rd}\) observation = 1

Since, 1 is occur 2 times and rest of observation occurs 1 times.

\(\therefore\) Mode = 1

Therefore, Mean \(\neq\) Median = Mode

Answer 2

(D) Mean ≠ Median = Mode