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In the data set below, what are the lower quartile, the median, and the upper quartile?
15313131424461768993
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile in the given data set: 1, 5, 6, 9, 12, 15, 19, 22, 23, 29
Lower quartile (Q1): (n+1)/4 = (10+1)/4 = 2.75
So the lower quartile is the average of the 2nd and 3rd numbers in the sorted data set, which are 5 and 6.
Lower quartile = (5 + 6) / 2 = 5.5
Median (Q2): (n+1)/2 = (10+1)/2 = 5.5
The median is the middle number in the sorted data set, which is 15.
Upper quartile (Q3): 3*(n+1)/4 = 3*(10+1)/4 = 8.25
So the upper quartile is the average of the 8th and 9th numbers in the sorted data set, which are 22 and 23.
Upper quartile = (22 + 23) / 2 = 22.5
Therefore, the lower quartile is 5.5, the median is 15, and the upper quartile is 22.5.