Question

What is the lower quartile of the following set? 28, 45, 12, 34, 36, 45, 19, 20 28.5 19.5 19 28

Answer 1

To find the lower quartile take the number of terms=n=12
to find the lower quartile take the equation (n+1)/4= 3.25
this means that the lower quartile will be at the 3.25th position int he sequence when all the terms are ordered from smallest to largest. so when ordered: 12  19  19  19.5  20  28  28   28.5   34   36   45   45
so the lower quartile is between 19 and 19.5 exactly 19.125