In the data set below, what are the lower quartile, the median, and the upper quartile?
4558899
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile, we first need to arrange the data in numerical order:
4, 5, 5, 8, 9, 9, 8
Lower quartile (Q1) = Median of the lower half of the data set. In this case, the lower half is 4, 5, and 5. The median of this lower half is 5.
Median = Middle value of the data set. In this case, the data set has an even number of values, so we take the average of the middle two values, which are 5 and 8. The median is (5+8)/2 = 6.5.
Upper quartile (Q3) = Median of the upper half of the data set. In this case, the upper half is 8, 9, and 9. The median of this upper half is 9.
Therefore:
Lower quartile = 5
Median = 6.5
Upper quartile = 9