In the data set below, what are the lower quartile, the median, and the upper quartile?
13 22 40 50 57 58 60 76 79 90 98
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile, we first need to arrange the data in ascending order:
13, 22, 40, 50, 57, 58, 60, 76, 79, 90, 98
The lower quartile is the median of the lower half of the data set. Since there are 11 numbers, the lower half starts at the 6th position. Therefore, the lower quartile is 57.
The median is the middle value of the data set. Since there are 11 numbers, the median is the value at the 6th position, which is 58.
The upper quartile is the median of the upper half of the data set. The upper half also has 6 numbers, starting from the 7th position. Therefore, the upper quartile is 76.
In summary:
Lower Quartile = 57
Median = 58
Upper Quartile = 76