Best Data Display and Interpreting Data Displays

The following table shows the amount of tonnage of the most common types of electric equipment discarded in the United States in 2005.

Which data display would you use to represent the data?

• Bar graph

• Pie chart

• Line graph

• Histogram

The scatter plot shows the recommended amount of sleep needed per day by age. This display shows:

• Univariate data

• Bivariate data

Part B. Is the data numerical or categorical?

• Numerical

• Categorical

Part C. What is a possible trend that is shown by the data?

• The data shows an increasing trend.

• The data shows a decreasing trend.

• The data shows no clear trend.

• The data fluctuates randomly.

Dr. Larry has noticed that when he carries around his lucky rock, his students seem to be nicer to him. Can one conclude that this positive correlation shows a causal relationship?

• Yes, because Larry decides whether or not to put his lucky rock in his pocket before he encounters people during the day.

• Yes, because it is not a negative correlation.

• No, because lucky rocks only work for children.

• No, because it is possible that people are nice to Larry because of another factor that also causes him to put the rock in his pocket.

Data from a certain city shows that the size of an individual’s home is positively correlated with the individual's life expectancy. Select the correct response to the question below. Which of the following factors would best explain why this correlation does not necessarily imply that the size of an individual’s home is the main cause of increased life expectancy?

• Larger homes have more safety features and amenities, which lead to increased life expectancy.

• The ability to afford a larger home and better healthcare is a direct effect of having more wealth.

• The citizens were not selected at random for the study.

• There are more people living in small homes than large homes in the city. Some responses may have been lost during the data collection process.

A packaging company prints 100,000 boxes per day. They determine that their printing machines are making a mistake on an average of 0.11% of boxes per day with a margin of error of ±0.01%.

How many boxes will need to be recycled due to a printing error in one week?

• 77 boxes
• 99 boxes

• 110 boxes

• 160 boxes

Based on a simple random survey of 150 students at Long Lake High School, the average number of hours spent on social media per week is 30.5 with a margin of error of 3.25. Part A. Give a range of values, based on this data, for the actual mean numbers of hours spent on social media.

• 27.25 to 33.75 hours

• 25.00 to 36.00 hours

• 28.00 to 32.00 hours

• 30.00 to 34.00 hours

Based on a simple random survey of 150 students at Long Lake High School, the average number of hours spent on social media per week is 30.5 with a margin of error of 3.25. Part A. Give a range of values, based on this data, for the actual mean numbers of hours spent on social media.

If there are a total of 723 students at the high school, give a range of values for the total number of weekly hours spent by all students.

• 19,701.75 to 24,401.25 hours

• 15,000.00 to 18,000.00 hours

• 25,000.00 to 30,000.00 hours

• 10,000.00 to 15,000.00 hours

Does this display univariate or bivariate data?

• Univariate

• Bivariate