Question

shanice collects data on the number of minutes a scooter is rented by different riders. median = 26 minutes 14 16 17 19 22 26 29 37 38 42 47 lower quartile (q1) = 17 minutes upper quartile (q3) = 38 minutes the median separates the data into two halves called the lower half and the upper half. describe the data set. about? of the riders rented the scooter for more than 26 minutes. about? of the riders rented the scooter for less than 38 minutes.

Explanation:

Step1: Recall the property of median

The median separates the data into two halves. So, about $\frac{1}{2}$ of the data is above the median and about $\frac{1}{2}$ is below the median. Since the median is 26 minutes, about $\frac{1}{2}$ of the riders rented the scooter for more than 26 minutes.

Step2: Recall the property of upper - quartile

The upper quartile ($Q3$) represents the value below which 75% (or $\frac{3}{4}$) of the data lies. Since $Q3 = 38$ minutes, about $\frac{3}{4}$ of the riders rented the scooter for less than 38 minutes.

Answer:

About $\frac{1}{2}$ of the riders rented the scooter for more than 26 minutes. About $\frac{3}{4}$ of the riders rented the scooter for less than 38 minutes.