or
In the data set below, what are the lower quartile, the median, and the upper quartile?
15 31 31 31 42 44 61 76 89 93
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile of this data set, we first need to organize the data in ascending order:
15, 31, 31, 31, 42, 44, 61, 76, 89, 93
The median is the middle number when the data set is arranged in order, so in this case the median is 42.
The lower quartile is the median of the lower half of the data set. In this case, the lower half is: 15, 31, 31, 31, 42. The median of this data set is 31.
The upper quartile is the median of the upper half of the data set. In this case, the upper half is: 44, 61, 76, 89, 93. The median of this data set is 76.
Therefore, the lower quartile = 31, median = 42, and upper quartile = 76.