In the data set below, what are the lower quartile, the median, and the upper quartile?
1322405057586076799098
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile, we first need to sort the data set in ascending order:
10, 19, 20, 24, 30, 40, 50, 55, 58, 60, 67, 79, 98, 132, 240
Lower Quartile (Q1): The lower quartile is the median of the lower half of the data set.
In this case, the lower half of the data set is: 10, 19, 20, 24, 30, 40.
Therefore, the lower quartile is the median of this lower half, which is (24 + 30) / 2 = 27.
Median (Q2): The median is the middle value of the data set when arranged in ascending order.
In this case, the median is the middle value of the data set, which is 40.
Upper Quartile (Q3): The upper quartile is the median of the upper half of the data set.
In this case, the upper half of the data set is: 50, 55, 58, 60, 67, 79, 98.
Therefore, the upper quartile is the median of this upper half, which is (58 + 60) / 2 = 59.
Therefore, the lower quartile is 27, the median is 40, and the upper quartile is 59.