Question

Which of the following is correct for the given data $-1,0,1,2,3,5,5,6,8,10,11,?$

• A. Mean=Mode=Median
• B. Mean $=5$
• C. Mean=Mode
• D. Mode=Median

Answer 1

Answer: (D)

Mode=Median

$\Rightarrow$ The given numbers are $-1,0,1,2,3,5,5,6,8,10,11$

$\Rightarrow$ $Mean=\frac{-1+0+1+2+3+5+5+6+8+10+11}{11}=4.54$

$\Rightarrow$ Here, middle number is $6^{th}$ number which is $5$.

$\therefore$ $Median=5$

$\Rightarrow$ In given numbers $5$ occurs two times.

$\therefore$ $Mode=5$

From above we can see that,

$\therefore$ $Mode=Median$