W30 D3 Data Review

Two groups of friends recorded the number of minutes it takes them to get to school each day. They recorded their results in the data sets shown. On average, which group of friends has the shorter commute? What is this group’s median time?

• Group A; 25 minutes

• Group A; 31 minutes

• Group B; 25 minutes

• Group A; 31 minutes

The dot plots show the number of apps two groups of students have on their phones. Which group has the greater median number of apps?

• Group 1 has the greater median number of apps.

• Group 2 has the greater median number of apps.

• Both groups have the same median number of apps.

• Cannot be determined from the dot plots.

The following two box plots display the scores two different groups of students got in their last Math quiz. Part A: Which data set seems to have greater variability? Part B: The box plots show that the students presented in Data Set B scored higher than what percentage of the students presented in Set A?

• A) Data Set A has greater variability and 24% of students in Set B scored higher than those in Set A.

• B) Data Set B has greater variability and 70% of students in Set B scored higher than those in Set A.

• C) Data Set A has greater variability and 70% of students in Set B scored higher than those in Set A.

• D) Data Set B has greater variability and 60% of students in Set B scored higher than those in Set A.

Rachel has scored 91, 94, 100, and 98 on her four math tests. What score does she need to get on her last test to have an average score of 93 on her five tests?

• 82

• 92

• 93

• 96

The table shows the number of messages four friends sent during a period of 5 days. Whose data has the lowest variability?

• Amy

• Mike

• Joe

• Denise

The mean weight of nine pumpkins a farm is 22 pounds. The sum of the weights of eight pumpkins is 171 pounds. What is the weight of the ninth pumpkin?

• 21

• 22

• 24

• 27

The mean age of the members of the reading club is 16.5 years old. There are 12 members in the club. If one member of the club is 14 years old, what is the combined age of the other members?

• 154

• 198

• 184

• 219

Anne collects some data and finds that her data set is skewed left. She removes the outliers to make a new data set. How do the mean and median of Anne’s new data set compare to those of the original data set?

• The mean of the new data set will be greater than the mean of the original.

• The mean of the new data set will be less than the mean of the original.

• The median of the new data set could be greater than the median of the original.

• The median could be unchanged.

• The median of the new data set could be less than the median of the original.

Consider the data set. 60, 63, 60, 59, 67, 62 58, 65, 65, 65, 66, 75 If the outlier were removed from the data set, how would the mean and median compare to the mean and median of the data set below?

• The mean and median of the first set would be less than the mean and median of the second set.

• The mean and median of the first set would be greater than the mean and median of the second set.

• The mean of the first set would be greater than the mean of the second set. The median of the first set would be less than the median of the second set.

• The mean of the first set would be less than the mean of the second set. The median of the first set would be greater than the median of the second set.

Select all the statements that are true about the data displayed in the histograms below.

• The shape of the data display for Country A is skewed right.

• The shape of the data display for Country A is skewed left.

• In the data for Country A, the median is less than the mean.

• In the data for Country B, the mean is less than the median.

• Country A had a higher percentage of earthquakes of less-than-average magnitude than Country B did.