Question

here are bruces highest point totals for the past 13 seasons: 45, 16, 18, 52, 13, 22, 24, 40, 21, 33, 17, 44, 37 what is the first quartile?

Explanation:

Step1: Sort the data

Sort the data set \(13,16,17,18,21,22,24,33,37,40,44,45,52\).

Step2: Find the position of the first quartile

The formula for the position of the first quartile \(Q_1\) is \(i=\frac{n + 1}{4}\), where \(n = 13\). So \(i=\frac{13+ 1}{4}=3.5\).

Step3: Calculate the first quartile

Since \(i = 3.5\), \(Q_1\) is the value \(0.5\) of the way between the 3rd and 4th values. The 3rd value is \(17\) and the 4th value is \(18\). \(Q_1=17+(18 - 17)\times0.5=17.5\).

Answer:

\(17.5\)