To find the lower quartile, median, and upper quartile of the data set, first arrange the numbers in ascending order:
14, 28, 40, 42, 57, 94
The lower quartile is the median of the numbers to the left of the median. In this case, it is the median of the first three numbers: 14, 28, 40
Lower Quartile = 28
The median is the middle number in the ordered data set. In this case, since there are 6 numbers, the median is the average of the two middle numbers: 40 and 42.
Median = (40 + 42) / 2 = 41
The upper quartile is the median of the numbers to the right of the median. In this case, it is the median of the last three numbers: 42, 57, 94
Upper Quartile = 57
Therefore, the lower quartile is 28, the median is 41, and the upper quartile is 57.
In the data set below, what are the lower quartile, the median, and the upper quartile?
14 28 40 42 57 94
lower quartile =
median =
upper quartile =
1 answer