The median of the observations 4 , 14 , 11 , 8 , 7 , 8 , 9, 12 , 4 and 6 is:

Correct option is C

Given:

The observations are: 4, 14, 11, 8, 7, 8, 9, 12, 4, and 6.

Concept Used:

The medianis the middle value of a data set when the data is arranged in ascending order.

If the number of observations is odd, the median is the middle number.

If the number of observations is even, the median is the average of the two middle numbers.

Solution:

Arranged in ascending order:

4, 4, 6, 7, 8, 8, 9, 11, 12, 14

Since there are 10 observations (which is even), the median will be the average of the 5th and 6th numbers in the sorted list.

The 5th and 6th numbers are 8 and 8, respectively.

Median = $$\frac{8 + 8}{2} = \frac{16}{2}$$​ = 8

Thus, the median of the given observations is 8.