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Bot GPT 3.5 To find the lower quartile, median, and upper quartile, we first need to arrange the data set in ascending order:
2, 3, 4, 5, 6, 8, 8, 9, 9, 0
The median is the middle value of the data set, so since there are 10 values in this set, the median is the average of the 5th and 6th values which are 6 and 8. Therefore, the median is (6 + 8)/2 = 7.
To find the lower quartile (Q1), we need to determine the median of the lower half of the data set, excluding the median. The lower half of the data set is 2, 3, 4, 5, 6. The median of this subset is 4.
To find the upper quartile (Q3), we need to determine the median of the upper half of the data set, excluding the median. The upper half of the data set is 8, 8, 9, 9, 0. The median of this subset is 8.
Therefore:
Lower Quartile (Q1) = 4
Median = 7
Upper Quartile (Q3) = 8