Question

Find the median of the following data.
$150,147,140,120,135,139,148,148$

• A. $140$
• B. $143.5$
• C. $148$
• D. $150$

Answer 1

Answer: (B)

$143.5$

The data points are: $150,147,140,120,135,139,148,148$
Arranging in ascending order: $120,135,139,140,147,148,148,150$
The number of observations are $8$. Since, the observations are even, the median will be the mean of $\frac{n}{2}$ and $\frac{n+2}{2}$ observations
median $=$ mean of $\frac{8}{2}$ and $\frac{8+2}{2}$ observations
median $=$ mean of 4th and 5th observations
median $=\frac{140+147}{2}$
median $=143.5$