Question

If weights of $9$ students (in kg) of a particular class are: $34,35,36,40,35,35,40,45,39$.
Which of the following is in the order from the least to the greatest?

• A. Mean, Mode, Median
• B. Mean, Median, Mode
• C. Mode, Median, Mean
• D. Mode, Mean, Median

Answer 1

Answer: (C)

Mode, Median, Mean

Arrangement of weights (in kg) of $9$ students In ascending order is:
$34,35,35,35,36,39,40,40,45$
Sum of weights (in kg) of all students $=339$
Mean $=$ $\frac{\text{Sum of weights of all students}}{\text{Number of students}}$
$=$ $\frac{339}{9}$ $=37.67$
Since, number of students is $9$, which is odd.
Therefore, Median $=$ ${\left(\frac{9+1}{2}\right)}^{th}$ term = $5^{th}$ term $=36$
Since, $35$ occurs most number of times.
Thus Mode $=35$
Hence, Mode $<$ Median $<$ Mean.