Question

In the data set below, what are the lower quartile, the median, and the upper quartile?
2235577789
lower quartile =


median =


upper quartile =

Answer 1

First write the data in order: 2, 2, 3, 5, 5, 7, 7, 8, 9 (n = 9).

Median is the middle value (5th): 5.

Lower half (exclude median): 2, 2, 3, 5 → Q1 = median of these = (2+3)/2 = 2.5.

Upper half (exclude median): 7, 7, 8, 9 → Q3 = median of these = (7+8)/2 = 7.5.

lower quartile = 2.5
median = 5
upper quartile = 7.5