Question

What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41

Answer 1

Answer:

Upper quartile: 38
Lower quartile: 19

Answer 2

Answer:

Lower Quartile (Q1) = 19; Upper Quartile (Q3) = 38.

Step-by-step explanation:

To find the quartiles, we begin by finding the median (Q2).  The median is the middle value; this is 25.

The median splits the data into half.  The median of the lower half is 19; this is the lower quartile.  The median of the upper half is 38; this is the upper quartile.