In the data set below, what is the lower quartile?
2 2 5 7 7 8
To find the lower quartile (Q1), we first need to arrange the data in ascending order:
2 2 5 7 7 8
Next, we need to find the median of the lower half of the data set. In this case, since there are six numbers, the median would be the average of the two middle numbers. Thus, the lower quartile would be the median of the numbers 2 2 5, which is 2.