Question

The mean, median and mode respectively of the numbers $7,4,3,5,6,3,3,2,4,3,4,3,3,4,4,3,2,2,4,3,5,4,3,4,3,4,3,1,2,3$ are __________.

• A. $3.47,3,3$
• B. $3,3,3$
• C. $4,3,3$
• D. $5,4,3$

Answer 1

Answer: (A)

$3.47,3,3$

Sum of numbers $=7+4+3+5+6+3+3+2+4+3+4+3+3+4+4+3+2+2+4+3$

$+5+4+3+4+3+4+3+1+2+3$

$=104$

Total numbers are $30$

$\text{mean}=\frac{104}{30}=3.46667=3.47$

The mode is the number which appeared most.

Therefore, $\text{mode}=3$

For median arrange the numbers in ascending order:

$1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,6,7$

Median $=\frac{({15}^{th}+{16}^{th})\text{term}}{2}$

$=\frac{3+3}{2}=3$