Analyzing Outliers and Predictions in Scatterplots

A scatterplot shows the relationship between hours studied and test scores for 10 students. One student studied for 30 hours and scored 95, while another studied for 5 hours and scored 50. Identify any outliers in the data and explain why they might be considered outliers.

• There are no outliers in the data set.

• The student who studied for 5 hours and scored 50 is an outlier.

• Both students are outliers due to their extreme scores.

• The student who studied for 30 hours and scored 95 is an outlier.

In a scatterplot of the number of hours spent on social media versus grades, a student who spends 20 hours on social media has a grade of 30. Is this point an outlier? What does this suggest about the relationship between social media use and grades?

• No, this point is not an outlier, suggesting a positive relationship between social media use and grades.

• Yes, this point is an outlier, indicating no relationship between social media use and grades.

• No, this point is likely an outlier, suggesting a strong positive relationship between social media use and grades.

• Yes, this point is likely an outlier, suggesting a negative relationship between social media use and grades.

A scatterplot shows the relationship between the amount of rainfall and the number of flowers blooming in a garden. If the data points suggest a positive correlation, predict how many flowers might bloom if there are 10 inches of rain based on the trend in the scatterplot.

• Approximately 10 flowers might bloom.

• Approximately 200 flowers might bloom.

• Approximately 50 flowers might bloom.

• Approximately 100 flowers might bloom.

A scatterplot indicates that as the temperature increases, the number of ice cream cones sold also increases. If the temperature reaches 90°F, predict the number of ice cream cones sold based on the trend shown in the scatterplot.

• Approximately 50 ice cream cones sold at 90°F.

• Approximately 100 ice cream cones sold at 90°F.

• Approximately 200 ice cream cones sold at 90°F.

• Approximately 500 ice cream cones sold at 90°F.

In a scatterplot comparing the age of cars and their resale value, one car is 15 years old and has a resale value of $500. Discuss whether this point is an outlier and what it implies about the general trend of car resale values.

• This point indicates a higher resale value trend.

• No, this point is not an outlier.

• The resale value is typical for a 15-year-old car.

• Yes, this point is an outlier.

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A scatterplot shows the relationship between the number of hours students sleep and their performance on a fitness test. If a student sleeps only 3 hours and performs poorly, how does this data point affect the overall trend? Is it an outlier?

• No, it supports the trend of better performance with more sleep.

• Yes, it is the only data point that matters.

• Yes, it may be an outlier depending on the overall data distribution.

• No, it is irrelevant to the overall trend.

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A scatterplot displays the relationship between the distance traveled by a car and the amount of fuel used. If one data point shows a car traveling 500 miles on 5 gallons of fuel, analyze whether this point is an outlier and what it indicates about fuel efficiency.

• The point is an outlier and indicates poor fuel efficiency.

• The point is an outlier and indicates average fuel efficiency.

• The point may be an outlier and indicates high fuel efficiency.

• The point is not an outlier and indicates low fuel efficiency.

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In a scatterplot of the number of books read versus the average grade of students, a student who read 50 books has an average grade of 100. Is this point an outlier? How does it affect the overall trend of the data?

• Yes, it is an outlier but has no effect on the overall trend.

• No, it is not an outlier and it negatively affects the overall trend.

• No, it is not an outlier and it has a neutral effect on the overall trend.

• Yes, it is likely an outlier and it positively affects the overall trend.

A scatterplot shows the relationship between the number of hours worked and the amount of money earned. If one worker earns $100 for 2 hours of work, analyze this point in relation to the other data points. Is it an outlier?

• All workers earn the same amount for their hours worked.

• It depends on the context of other data points; it could be an outlier if earnings are generally lower.

• The earnings are too high to be considered normal.

• The worker is definitely an outlier regardless of other data points.

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Using a scatterplot that shows the relationship between the number of pets owned and the amount of time spent on pet care, predict how much time a person with 3 pets might spend on pet care based on the trend in the scatterplot.

• 60 minutes

• 120 minutes

• 90 minutes

• 30 minutes