Question

The points scored by a basket ball team in a series of matches are as follows:
$17,2,7,27,25,5,14,18,10,24,48,10,8,7,10,28$
Find the median and mode for the data.

• A. Median $=12$, mode $=10$
• B. Median $=11$, mode $=10$
• C. Median $=12$, mode $=18$
• D. Median $=10$, mode $=18$

Answer 1

Answer: (A)

Median $=12$, mode $=10$

Arrange in ascending order $=2,5,7,7,8,10,10,10,14,17,18,24,25,27,28,48$
Total $16$ elements
So median $=\left(\frac{(8^{th}+9^{th})\text{element}}{2}\right)$
$=\frac{10+14}{2}$
$=12$
mode $=10$ $(3$ times repeating$)$