Question

lesson 2 practice problems 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 number of 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 - numbered data set), 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: Find the 10th and 11th ordered data values

Arrange the data in ascending order. Counting the dots from the left (5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 11, 11, 11), the 10th value is 8 and the 11th value is 8.

Step4: Calculate the median

The median is \(\frac{8 + 8}{2}=8\).

Answer:

8