Question

1. the data set shows the number of roses in each vase for sale at lords farm. find the median number of roses in a vase. 12, 16, 20, 12, 24, 18, 16, 20 median number of roses in a vase =

Explanation:

Step1: Sort the data set

Sort the numbers \(12, 16, 20, 12, 24, 18, 16, 20\) in ascending order: \(12, 12, 16, 16, 18, 20, 20, 24\).

Step2: Find the median

Since there are \(n = 8\) (an even - numbered) data points, the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values.
Here, \(\frac{n}{2}=\frac{8}{2} = 4\) and \(\frac{n}{2}+1=5\).
The 4th value is \(16\) and the 5th value is \(18\).
The median \(M=\frac{16 + 18}{2}\).

$$M=\frac{16+18}{2}=\frac{34}{2}=17$$

Answer:

\(17\)