UNIT 9 MATH REG

The scores for tests taken by Kelli and Robert are shown below. Each test is worth 20 points.

Kelli: 15, 18, 20, 15, 16, 19, 16

Robert: 16, 18, 16, 5, 17, 20, 20

Select all the statements that best explain the most appropriate measure of center for each data set.

• A. Robert’s scores are better represented by the mean rather than the median since the data has no outliers.

• B. Robert’s scores are better represented by the median rather than the mean since the data has outliers.

• C. Kelli’s scores are better represented by the mean rather than the median since the data has no outliers.

• D. Kelli’s scores are better represented by the median rather than the mean since the data has outliers.

• E. Both Robert and Kelli’s data is better represented with the median because they have outliers.

The scores for tests taken by Kelli and Robert are shown below. Each test is worth 20 points.

Kelli: 15, 18, 20, 15, 16, 19, 16

Robert: 16, 18, 16, 5, 17, 20, 20

Does the data support Kelli or Robert having a higher test average?

• A. Kelli because her range is 5 points.

• B. Kelli because her mean is 17 points.

• C. Robert because his range is 15 points.

• D. Robert because his mean is 16 points.

Determine the most appropriate measure of variation to describe the variability in the weights of the players.

• A. Interquartile range since the data has outliers.

• B. Median since that data has outliers.

• C. Range since the data does not have outliers.

• D. Mean since the data does not have outliers.

Based on the statistics shown in the box plots above, select all the statements that apply to the data.

• A. The difference in the medians is 12.5 points.

• B. The range of the afternoon scores is higher than the morning scores.

• C. 25% of the morning scores are less than 70.

• D. The median of the morning scores is 86.

• E. The interquartile range of the afternoon scores is 15.

The birth year of all the children at the STEM Summer Camp was recorded in the histogram below. Determine the most appropriate measure of center for the data.

• A. Interquartile range since the data has outliers.

• B. Median since that data has outliers.

• C. Range since the data does not have outliers.

• D. Mean since the data does not have outliers.

The histograms below display the number of text messages a group of 100 6th grade students sends in a week and a group of 100 7th grade students sends in a week. Which statement below represents this data most appropriately?

• A. The number of texts sent per week by 6th grade students tends to be more consistent than those by 7th grade students

• B. The range for the number of texts sent per week by 6th grade students is less than the range for 7th grade students

• C. The number of texts sent per week by 7th grade students tends to be more consistent than those by 6th grade students

• D. The range for the number of texts sent per week by 7th grade students is more than the range for 6th grade students

Bags of oranges were donated to the track team for an after-practice snack. The number of oranges in each bag is represented in the line plot below. Determine the measure of variability that would best represent this data.

• A. Interquartile range since the data has an outlier.

• B. Median since that data has an outlier.

• C. Range since the data does not have an outlier.

• D. Mean since the data does not have an outlier.

Select the statements that best represent this data?

• A. The median for both data sets is 6.

• B. The range and interquartile range for Class A is lower than the range and interquartile range for class B.

• C. The range and interquartile range for Class A is higher than the range and interquartile range for class B.

• D. The range and interquartile range for both data sets cannot be determined.

• E. The mean of Class A is a lower than Class B.

The ages of the family members that decided to go to Busch Gardens before the family reunion is displayed in the stem and leaf plot below. Which measure of center best represents the data and what is the value of that measure?

• A. Mean; 23.4

• B. Median; 22.5

• C. Mean; 21

• D. Median; 2

Marcia monitored the high temperatures for Minneapolis, MN and Columbus, OH for the same week. The data is displayed in the stem-and-leaf plot below. Which statement below represents this data most appropriately?

• A. The mean temperature for Minneapolis is greater than the mean temperature for Columbus.

• B. The median temperature for Minneapolis is greater than the median temperature for Columbus.

• C. The range of temperatures for Minneapolis is 18.

• D. The range of temperatures for Columbus is 37.