In the data set below, what are the lower quartile, the median, and the upper quartile?
225789
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile, we first need to sort the data set in numerical order:
2, 2, 5, 7, 8, 9
There are 6 numbers in the data set, making the median the average of the middle two numbers:
Median = (5 + 7) / 2 = 6
To find the lower and upper quartiles, we divide the data set into two equal parts. The lower quartile would be the median of the lower half:
Lower Quartile = (2 + 2) / 2 = 2
The upper quartile would be the median of the upper half:
Upper Quartile = (8 + 9) / 2 = 8.5
Therefore, the lower quartile is 2, the median is 6, and the upper quartile is 8.5.