find the upper and lower quartiles for this data set.

21.7, 23.4, 23.4, 24.3, 27.6, 28.5, 29.2, 31.00, 31.4, 36.8

Question

find the upper and lower quartiles for this data set.

21.7, 23.4, 23.4, 24.3, 27.6, 28.5, 29.2, 31.00, 31.4, 36.8

anonymous · Answer

using formulas please

directrix · Answer

The median or Q2 is the average of the 5th and 6th numbers in the list after the list has been placed in ascending order. Q2 = 28.05. Note that it is not a member of the data set.

To the left of Q2 are 5 data points.The median of thses 5 is Q1, the lower quartile. Q1 = 23.4.

By similar manner, look for the 5 data points that lie to the right of Q2. The middle one of those is Q3, the upper quarter. Q3 = 31