Question

Find the median of following data set.
12, 6, 87, 9, 54, 23, 43, 19, 56, 34, 69, 74

• A. 38.5
• B. 39.5
• C. 34 and 43
• D. 40.5

Answer 1

The correct option is A 38.5

When you arrange the data in ascending order, you get:

6 9 12 19 23 34 43 54 56 69 74 87

If number of observations is odd then median is the $\left(\frac{n}{2}\right)$th term

If it is even then median is the mean of the $\left(\frac{n}{2}\right)$th and ($\frac{n}{2})+1)$ th term.

Here the number of observations is 12 - even,

Therefore, the median will be an average of $6^{th}$ and $7^{th}$ observation.

So, Median=$\frac{34+43}{2}$=$\frac{77}{2}$=38.5.