In the data set below, what are the lower quartile, the median, and the upper quartile?
15 32 70 70 71 89 89 93 98
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile in this data set, we need to first arrange the numbers in ascending order:
15, 32, 70, 70, 71, 89, 89, 93, 98
The lower quartile is the median of the lower half of the data set. In this case, the lower half is 15, 32, 70. Taking the median of this lower half, we get:
Lower quartile = 32
The median is the middle value in the data set. Since there are 9 numbers, the median is the 5th number when they are arranged in ascending order:
Median = 71
The upper quartile is the median of the upper half of the data set. In this case, the upper half is 89, 89, 93, 98. Taking the median of this upper half, we get:
Upper quartile = 89