In the data set below, what are the lower quartile, the median, and the upper quartile?
13162540567093
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile in the given data set:
First, we need to arrange the data in ascending order:
0, 1, 3, 4, 5, 6, 7, 9, 13
Now we can find the lower quartile, median, and upper quartile:
Lower Quartile (Q1): This is the median of the lower half of the data set, which is calculated as the median of the numbers to the left of the median.
In this case, the lower quartile is the median of 0, 1, 3, 4, which is 2.
Median (Q2): This is the middle value of the data set when arranged in ascending order. Since there are an odd number of values, the median is the middle value, which is 5 in this case.
Upper Quartile (Q3): This is the median of the upper half of the data set, which is calculated as the median of the numbers to the right of the median.
In this case, the upper quartile is the median of 6, 7, 9, 13, which is 8.
Therefore, the lower quartile is 2, the median is 5, and the upper quartile is 8.