In the data set below, what are the lower quartile, the median, and the upper quartile?
11 20 21 31 50 50 55 59 80 96 99
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile of the data set, we first need to arrange the data in ascending order:
11, 20, 21, 31, 50, 50, 55, 59, 80, 96, 99
The lower quartile (Q1) is the median of the data set's lower half. In this case, the lower half of the data set is 11, 20, 21, 31, 50. The median of this lower half is 21.
The median (Q2) is the middle value of the data set when it is in order. In this case, there are 11 values in the data set, so the median is the 6th value, which is 50.
The upper quartile (Q3) is the median of the data set's upper half. In this case, the upper half of the data set is 55, 59, 80, 96, 99. The median of this upper half is 80.
Therefore, the lower quartile is 21, the median is 50, and the upper quartile is 80.