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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.