here are 13 of alis walk times to the nearest restroom (in seconds):\n26, 34, 15, 62, 89, 71, 23, 13, 32…

here are 13 of alis walk times to the nearest restroom (in seconds):\n26, 34, 15, 62, 89, 71, 23, 13, 32, 54, 52, 50, 21\nwhat is the first quartile?

here are 13 of alis walk times to the nearest restroom (in seconds):\n26, 34, 15, 62, 89, 71, 23, 13, 32, 54, 52, 50, 21\nwhat is the first quartile?

Answer

Explanation:

Step1: Sort the data

$13, 15, 21, 23, 26, 32, 34, 50, 52, 54, 62, 71, 89$

Step2: Calculate the position of the first - quartile

The formula for the position of the first - quartile ($Q_1$) when $n$ (number of data points) is odd is $i=\frac{n + 1}{4}$. Here $n = 13$, so $i=\frac{13+1}{4}=\frac{14}{4}=3.5$.

Step3: Find the first - quartile

Since the position $i = 3.5$, $Q_1$ is the average of the 3rd and 4th ordered data values. The 3rd value is $21$ and the 4th value is $23$. So $Q_1=\frac{21 + 23}{2}=\frac{44}{2}=22$.

Answer:

$22$