Data & Statistical Reasoning Review

Consider the groups of numbers in the box.

Which statement about Group B is true?

• Group B has a larger mean and a larger standard deviation.

• Group B has a larger mean and a smaller standard deviation.

• Group B has the same mean as Group A and a larger standard deviation.

• Group B has the same mean as Group A and a smaller standard deviation.

Find the choice that BEST describes the relationship between happiness and sleep in the graph.

• People who sleep more than 8 hours report being less happy than those who sleep 8 hours.

• People who sleep more hours per night tend to report being happier than people who sleep less hours per night.

• In order to be happy, people must sleep 8 or 9 hours per night.

• There is no relationship seen between happiness and sleep in this graph.

A store sells both ice cream cones and air conditioners. The store manager records the sales of these two items and creates the scatter plot shown.

Based on the scatter plot, which statement BEST interprets the relationship between the sales of ice cream cones and sales of air conditioners?

• There is a correlation between the two variables but not causation.

• There is both a correlation and causation between the two variables.

• There is neither correlation or causation between the two variables.

• There is no correlation between the two variables, but there is causation.

• the number of inches the grass grows per day
• the height of the grass just after it is mowed
• The number of days between mowing
• The number of inches the grass grows per week
• The length of the grass that is cut off the lawn

The test scores of the students in three different classes are represented by the dot plots.

Match each class listed to the description of the statistic.

• Class B

• The class that has the lowest mean

• Class A

• The class that has the highest mean

• Class C

• The class that has the smallest standard deviation

The manager of a company made the graph to show the value of a piece of office equipment after each of the 7 years following its purchase.

The manager plans to draw a line of best fit. Which graph shows the BEST line of fit?

• 
• 
• 
• 

The ages of the students in a statistics class are listed below. If the 18-year-old student has a birthday and turns 19, how will it affect the mean and median ages of the class?

Ages: 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18

• Both the mean age and the median age will increase.

• The mean age will increase, and the median age will remain the same.

• The mean age will remain the same, and the median age will increase.

• The mean age will remain the same, and the median age will decrease.

Heidi is shopping for a used car. The ages and prices of several cars are shown on the scatter plot.

Graph the line of best fit on the scatter plot.

A store owner plotted the sales of three different items over the past six weeks in order to determine if any relationship exists between the sales of these items. The owner will then use this information to estimate sales during the next week. These sales are shown on the table.

The owner wishes to determine the type of relationship between the sales in order to find if selling more of one item will also increase sales of another item. This will help influence the type of advertising that the store uses. Determine what type of relationship exists between these sales. Select one relationship for each pair of items.

Groups:

(a) Correlation Only

,

(b) Both Correlation and Causation

• DVD Player and Refrigerator
• Television and DVD Player
• Refrigerator and Television

• 0.7

• 4.4

• 37

• 44