In the data set below, what are the lower quartile, the median, and the upper quartile?
2234577799
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile of this dataset, we first need to sort the numbers in ascending order:
2, 3, 4, 5, 7, 7, 9, 9
Lower quartile (Q1) is the median of the lower half of the data set, which in this case is 2, 3, 4, and 5. The median of this lower half is (3 + 4) / 2 = 3.5.
Median (Q2) is the middle value of the dataset when arranged in ascending order. In this case, the median is 5.
Upper quartile (Q3) is the median of the upper half of the data set, which in this case is 7, 7, 9, and 9. The median of this upper half is (7 + 9) / 2 = 8.
Therefore, the lower quartile is 3.5, the median is 5, and the upper quartile is 8.