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.
or
In the data set below, what are the lower quartile, the median, and the upper quartile?
15313131424461768993
lower quartile =
median =
upper quartile =
1 answer
1 answer