In the data set below, what are the lower quartile, the median, and the upper quartile?
4556899
lower quartile =
median =
upper quartile =
To determine the lower quartile, median, and upper quartile of the data set, we first need to arrange the numbers in ascending order:
4, 5, 5, 6, 8, 9, 9
Lower quartile: The lower quartile is the median of the lower half of the data set. In this case, the lower half is {4, 5, 5} so the lower quartile is 5.
Median: The median is the middle value of the data set when arranged in ascending order. Since there are 7 numbers in the set, the median is the 4th number, which is 6.
Upper quartile: The upper quartile is the median of the upper half of the data set. In this case, the upper half is {6, 8, 9, 9} so the upper quartile is 8.