In the data set below, what are the lower quartile, the median, and the upper quartile?
54656871838790949599
lower quartile =
median =
upper quartile =
Questions
To find the lower quartile, median, and upper quartile of the data set provided, we first need to arrange the numbers in ascending order:
54, 65, 68, 71, 83, 87, 90, 94, 95, 99
The median is the middle value in the data set, which in this case is 87.
To find the lower quartile (Q1), we need to find the median of the lower half of the data set:
Lower half: 54, 65, 68, 71, 83
Q1 = (65 + 68)/2 = 66.5
To find the upper quartile (Q3), we need to find the median of the upper half of the data set:
Upper half: 90, 94, 95, 99
Q3 = (94 + 95)/2 = 94.5
Therefore,
Lower quartile = 66.5
Median = 87
Upper quartile = 94.5