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

Answer 1

using formulas please

Answer 2

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