or
In the data set below, what are the lower quartile, the median, and the upper quartile?
5566799999
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile of the data set 5566799999, we first need to arrange the numbers in ascending order:
5566779999
Next, we find the position of the median, which is the middle number in the ordered data set. In this case, since there are 10 numbers in the data set, the median will be the average of the 5th and 6th numbers:
5566779999
↑
The median is (6 + 7) / 2 = 6.5
To find the lower quartile, we need to find the median of the first half of the data set. The lower quartile will be the average of the 3rd and 4th numbers:
5566779999
↑↑↑
The lower quartile is (6 + 6) / 2 = 6
To find the upper quartile, we need to find the median of the second half of the data set. The upper quartile will be the average of the 8th and 9th numbers:
5566779999
↑↑
The upper quartile is (9 + 9) / 2 = 9
Therefore, the lower quartile = 6, median = 6.5, and upper quartile = 9.