what is the third quartile of the following data set: 15, 16, 17, 23, 11, 19, 20, 15, 18, 22, 15
To find the third quartile, we need to first arrange the data set in ascending order: 11, 15, 15, 15, 16, 17, 18, 19, 20, 22, 23.
Since there are 11 data points in the set, the third quartile would be the median of the second half of the data.
The second half of the data set is: 18, 19, 20, 22, 23.
To find the median of this set, we add the middle two values and divide by 2:
(20 + 22) / 2 = 42 / 2 = 21.
Therefore, the third quartile of the data set is 21.