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

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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

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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

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(D) Mean ≠ Median = Mode