Question

1. the dot plot displays the number of bushes in the yards for houses in a neighborhood. what is the median? number of bushes

Explanation:

Step1: Count total data - points

Count the number of dots. There are \(2 + 3+4 + 3+2 + 1+5=20\) data - points.

Step2: Determine position of median

Since \(n = 20\) (an even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th ordered data - values. \(\frac{n}{2}=\frac{20}{2}=10\) and \(\frac{n}{2}+1 = 11\).

Step3: Order data and find median

Order the data from smallest to largest. Counting the dots in order, the 10th and 11th values fall within the value of 8. The median is \(\frac{8 + 8}{2}=8\).

Answer:

8