Question

Question 1(Multiple Choice Worth 2 points)

(Appropriate Measures MC)


The line plot displays the number of roses purchased per day at a grocery store.


A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.


Which of the following is the best measure of center for the data, and what is its value?


The mean is the best measure of center, and it equals 8.

The median is the best measure of center, and it equals 7.3.

The mean is the best measure of center, and it equals 7.3.

The median is the best measure of center, and it equals 8.


Question 2(Multiple Choice Worth 2 points)

(Appropriate Measures MC)


A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.


11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59


A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.


Which measure of center should the charity use to accurately represent the data? Explain your answer.


The median of 45.2 is the most accurate to use to show that they need more money.

The median of 49 is the most accurate to use, since the data is skewed.

The mean of 49 is the most accurate to use to show that they have plenty of money.

The mean of 45.2 is the most accurate to use, since the data is skewed.

Question 3(Multiple Choice Worth 2 points)

(Appropriate Measures MC)


The box plot represents the number of tickets sold for a school dance.


A horizontal line labeled Number of Tickets sold that starts at 7, with tick marks every one unit up to 32. The graph is titled Tickets Sold for A Dance. The box extends from 15 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 8 and 31.


Which of the following is the appropriate measure of variability for the data, and what is its value?


The IQR is the best measure of variability, and it equals 13.

The IQR is the best measure of variability, and it equals 6.

The range is the best measure of variability, and it equals 13.

The range is the best measure of variability, and it equals 6.


Question 4(Multiple Choice Worth 2 points)

(Appropriate Measures MC)


The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.




1 7, 9

2 1, 5, 9

3 0, 1, 2

4 6, 9

Key: 2|1 means 21



What is the appropriate measure of variability for the data shown, and what is its value?

The IQR is the best measure of variability, and it equals 32.

The range is the best measure of variability, and it equals 11.

The IQR is the best measure of variability, and it equals 11.

The range is the best measure of variability, and it equals 32.

Question 5(Multiple Choice Worth 2 points)

(Appropriate Measures MC)


The table shows the number of goals made by two hockey players.



Player A Player B

2, 3, 1, 3, 2, 2, 1, 3, 6 1, 4, 5, 1, 2, 4, 5, 5, 11



Find the best measure of variability for the data and determine which player was more consistent.

Player B is the most consistent, with an IQR of 3.5.

Player B is the most consistent, with a range of 10.

Player A is the most consistent, with an IQR of 1.5.

Player A is the most consistent, with a range of 5.

Question 6(Multiple Choice Worth 2 points)

(Appropriate Measures MC)


The line plot displays the cost of used books in dollars.


A horizontal line starting at 3 with tick marks every one unit up to 8. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There are two dots above 4, 5, and 7. There are four dots above 6.


Which measure of center is most appropriate to represent the data in the graph, and why?


The median is the best measure of center because there are no outliers present.

The mean is the best measure of center because there are no outliers present.

The median is the best measure of center because there are outliers present.

The mean is the best measure of center because there are outliers present.

Question 7(Multiple Choice Worth 2 points)

(Appropriate Measures MC)


The table shows the length, in inches, of fish in a pond.



15 18 9 22

7 15 10 18



Determine if the data contains any outliers. If so, list the outliers.

There is an outlier at 22.

There is an outlier at 7.

There are outliers at 7 and 22.

There are no outliers.

Answer 1

Explanation:

Question 1:

The best measure of center for the given data is the median, which is equal to 7. This is because the data is skewed and has some outliers, which could heavily impact the mean. The median is the middle value when the data is arranged in order, and it is less sensitive to outliers compared to the mean.

Answer: The median is the best measure of center, and it equals 7.

Question 2:

The appropriate measure of center for the given data is the median of 49. This is because the data is skewed, with a long tail towards the higher end, and there are some outliers present. The median is less sensitive to outliers and better represents the center of skewed data compared to the mean.

Answer: The median of 49 is the most accurate measure of center to use.

Question 3:

The appropriate measure of variability for the given data is the interquartile range (IQR), which is equal to 6. The IQR is a good measure of variability for skewed data because it is not affected by extreme values or outliers, and it gives a sense of the spread of the middle 50% of the data.

Answer: The IQR is the best measure of variability, and it equals 6.

Question 4:

The appropriate measure of variability for the given data is the range, which is equal to 29 (49 - 20). The range is a good measure of variability for small datasets and provides an idea of the spread of the data.

Answer: The range is the best measure of variability, and it equals 29.

Question 5:

The best measure of variability for the given data is the interquartile range (IQR), which is 1.5 for Player A and 3.5 for Player B. A smaller IQR suggests more consistent data as the middle 50% of the data is less spread out, and there are fewer outliers.

Answer: Player A is the most consistent with an IQR of 1.5.

Question 6:

The appropriate measure of center for the given data is the median because there are outliers present. The median is less sensitive to outliers and provides a better representation of the central tendency of the data.

Answer: The median is the best measure of center because there are outliers present.

Question 7:

The appropriate measure of center for the given data is the median, which is equal to 11. The data is skewed, and there are outliers present, which could heavily impact the mean. The median is less sensitive to outliers compared to the mean and provides a better representation of the central tendency of the data.

Answer: The median is the best measure of center, and it equals 11.