Question

summarizing data sets with statistics calculating measures of center and measures of spread games per month no. of games month the bar graph shows the number of to find each measure. the values are clustered around the median. the values are spread out. the data shows a lot of variability. the data shows a large spread. which is true of this data?

Explanation:

Step1: Analyze the data values

The data values from the bar - graph (number of games per month) are \(3\) (Mar), \(5\) (Feb), \(6\) (Jan), \(6\) (May), \(8\) (Apr). When ordered: \(3,5,6,6,8\).

Step2: Check the median property

The median is \(6\). The values \(3,5,6,6,8\). The value \(3\) is \(6 - 3=3\) units away from the median (\(6\)), the value \(5\) is \(6 - 5 = 1\) unit away, and the values \(6\) (twice) are \(0\) units away, and the value \(8\) is \(8 - 6=2\) units away. Most of the values (\(5,6,6\)) are close to the median.

Answer:

The values are clustered around the median.