Question

the scatter plot shows the day of a month and the amount of rain in a city. which of the statements are true? click the icon to view the scatter plot.select all that apply. a. there is an outlier at day 26. b. there is a gap of no rain falling between days 10 and 26. c. there were three days of the month when it rained exactly 27 millimeters. d. the greatest difference in the recorded amounts of rain in the city during the month was 3 millimeters. e. there is a cluster of days when it rained between days 6 and 15.

Explanation:

Step1: Analyze Option A

An outlier is a data point that is far from other data points. Looking at the scatter - plot, the point at Day 26 is far from the cluster of points from Day 4 - 12. So, there is an outlier at Day 26.

Step2: Analyze Option B

A gap means no data points in a certain interval. Looking at the scatter - plot, there are no points between Day 12 and Day 24 (not between Day 10 and 26). So, this option is false.

Step3: Analyze Option C

Count the number of points with \(y = 27\). There are more than three points with \(y = 27\). So, this option is false.

Step4: Analyze Option D

Find the maximum and minimum values of \(y\). The maximum \(y\) - value is 27 and the minimum \(y\) - value is 26. The difference \(27−26 = 1\) (not 3). So, this option is false.

Step5: Analyze Option E

A cluster is a group of data points close to each other. Looking at the scatter - plot, there are points between Day 6 and Day 15 that are close to each other. So, there is a cluster of days when it rained between Days 6 and 15.

Answer:

A. There is an outlier at Day 26; E. There is a cluster of days when it rained between Days 6 and 15.