What is the third quartile of this data set? 14,18,20,21,25,32,40,44,48

42

Step-by-step explanation:

Step 1:

Given data set - 14,18,20,21,25,32,40,44,48

We need to get the 3rd quartile

Step 2:

To find the quartile's, we have to divide the data set into 4 equal quarters.

The 3rd cut will give the 3rd quartile

Step 3:

The median of this data set is at 25, there are 4 numbers below and above it.

Now we take the 2nd half of the set, after the median and take the median of it.

There are 4 numbers in the 2nd half 32,40,44,48. Cutting this into 2, we have the cut to fall between 40 and 44. Hence taking the average of this will give the 3rd quartile.

The average of 40 and 44 is 42.

Hence the 3rd quartile is 42.