Question

Which of the following is correct for the given data :-
1, 0, 2, 3, 5, 5, 6, 8, 10, 11, 12

• A. Mean = mode = median
• B. Mean = 5
• C. Mean = mode
• D. Mode = median

Answer 1

The correct option is D Mode = median

First arrange the data in ascending order
0, 1, 2, 3, 5, 5, 6, 8, 10, 11, 12

$\text{M}ean$ = $\frac{Sumofobsevations}{Numberofobservations}$

$\text{M}ean$ = $\frac{0+1+2+3+5+5+6+8+10+11+12}{11}$

$\text{M}ean$ = $\frac{63}{11}=5.72$

Here odd number of observations i.e. 11

$\text{M}edian$ = $\frac{n+1}{2}thobservation$
$\text{M}edian$ = $\frac{11+1}{2}thobservation$
= $\text{6}thobservation=5$

Mode is the highest frequency observation, here i.e. 5.
$\therefore$ Mode = Median = 5