Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

shanice collects data on the number of minutes a scooter is rented by d…

Question

shanice collects data on the number of minutes a scooter is rented by different riders. find the median of the data set. 14 16 17 19 22 26 29 37 38 42 47 median = minutes a measure of center is a single number that summarizes what is typical for all the values in a data set. one measure of center is the median. the median is the middle value when the data values are listed in order.

Explanation:

Step1: Count the number of data points

There are \(n = 11\) data points.

Step2: Use the formula for the median position

For a set of data with \(n\) values (where \(n\) is odd), the median is the \(\frac{n + 1}{2}\) -th value.
Substitute \(n=11\) into \(\frac{n + 1}{2}\), we get \(\frac{11+ 1}{2}=\frac{12}{2}=6\).

Step3: Find the 6 -th value in the ordered data set

The ordered data set is \(14,16,17,19,22,26,29,37,38,42,47\).
The 6 -th value is \(26\).

Answer:

\(26\)