Question

the scatter plot represents the number of hours since a city parking lot opened on different days and the number of cars in the parking lot
a. identify any outliers in the scatter plot
b. identify any clusters in the scatter plot
c. identify any gaps in the scatter plot. what situation might have caused the gap?
click the icon to view the scatter plot
a. the outlier(s) is(are)
(type an ordered pair use a comma to separate answers as needed.)

Explanation:

Step1: Identify the outlier

An outlier is a data point that is far from the other data points. Looking at the scatter - plot, the point \((2,39)\) is far from the other points.

Step2: Identify the clusters

A cluster is a group of data points that are close together. There are two clusters: one around \(x = 4\) to \(x = 7\) (lower - value cluster) and one around \(x = 7\) to \(x = 10\) (higher - value cluster).

Step3: Identify the gap

The gap is between \(x=7\) and \(x = 11\) (in terms of the spread of the data points). A possible situation that could cause the gap is a special event or a time - period (e.g., a holiday, a closure of nearby businesses) that affected the number of cars in the parking lot.

Answer:

a. \((2,39)\)
b. Clusters around \(x = 4 - 7\) (lower - value) and \(x=7 - 10\) (higher - value)
c. Gap between \(x = 7\) and \(x = 11\). Possible cause: Special event/holiday/closure of nearby businesses.