or
In the data set below, what are the lower quartile, the median, and the upper quartile?
17,24,35,38,74,91,95
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile of the data set [17, 24, 35, 38, 74, 91, 95], we first need to arrange the data in ascending order:
17, 24, 35, 38, 74, 91, 95
The total number of data points in the set is 7, so the median will be the middle value, which is the 4th value in the ordered list. Hence, the median is 38.
To find the lower quartile, we need to find the median of the lower half of the data set. In this case, the lower half is [17, 24, 35]. Since there are 3 data points in the lower half, the lower quartile is the middle value of that set, which is 24.
Similarly, to find the upper quartile, we need to find the median of the upper half of the data set. In this case, the upper half is [74, 91, 95]. Since there are 3 data points in the upper half, the upper quartile is the middle value of that set, which is 91.
Therefore, the lower quartile is 24, the median is 38, and the upper quartile is 91.