Question

Find the median of the following data:

$18,19,20,23,22,20,17,19,25$ and $21$

• A. $20$
• B. $21$
• C. $22$
• D. $23$

Answer 1

Answer: (A)

$20$

The given data series is: $18,19,20,23,22,20,17,19,25.21$
Arranging it in increasing order: $17,18,19,19,20,20,21,22,23,25$
The number of terms in the series are $10$, which is even. Hence, the median will be the mean of the two middle numbers.
Thus, median $=$ mean of $5^{th}$ term and $6^{th}$ term
Median $=\frac{20+20}{2}$
Median $=20$