here are bruces highest point totals for the past 13 seasons:\n45, 16, 18, 52, 13, 22, 24, 40, 21, 33, 17…

here are bruces highest point totals for the past 13 seasons:\n45, 16, 18, 52, 13, 22, 24, 40, 21, 33, 17, 44, 37\nwhat is the first quartile?

here are bruces highest point totals for the past 13 seasons:\n45, 16, 18, 52, 13, 22, 24, 40, 21, 33, 17, 44, 37\nwhat is the first quartile?

Answer

Explanation:

Step1: Sort the data

$13, 16, 17, 18, 21, 22, 24, 33, 37, 40, 44, 45, 52$

Step2: Calculate the position of the first - quartile

The formula for the position of the first - quartile ($Q_1$) for a data set of size $n$ is $L_{Q_1}=\frac{n + 1}{4}$. Here, $n = 13$, so $L_{Q_1}=\frac{13+1}{4}=\frac{14}{4}=3.5$.

Step3: Find the first - quartile

Since the position is $3.5$, $Q_1$ is the average of the 3rd and 4th ordered data values. The 3rd value is $17$ and the 4th value is $18$. So $Q_1=\frac{17 + 18}{2}=\frac{35}{2}=17.5$.

Answer:

$17.5$