In the data set below, what are the lower quartile, the median, and the upper quartile?
11113356
lower quartile =
median =
upper quartile =
To find the lower quartile (Q1), median (Q2), and upper quartile (Q3), we first need to arrange the data in ascending order:
1, 1, 1, 3, 3, 5, 6
The lower quartile (Q1) is the median of the lower half of the data set. Since there are an odd number of values in this data set, the median will be the middle value, which is 3.
The median (Q2) is the middle value of the entire data set. In this case, the median is also 3.
The upper quartile (Q3) is the median of the upper half of the data set. The upper half of the data set is {3, 5, 6}, and its median is 5.
Therefore:
Lower quartile (Q1) = 3
Median (Q2) = 3
Upper quartile (Q3) = 5