Multiple-Choice Items:

1.   Alissa has a wedding planning business. She records the ages of all her customers. She wants to know what age most of her clients are. Which measure of center should she use?

A	Mean
B	Median
C	Mode
D	Range

 

2.   Rachel collected the following amounts of money each day for a six-day fundraiser. Which measure of center would be best to show the typical amount collected each day?

$18, $21, $20, $2, $27, $24, $68, $18, $22

A	Mean
B	median
C	mode
D	range

3.   Dan needs to find which age group is most common in his class. Which measure of center should Dan use?

A	mean
B	median
C	mode
D	range

4.   Which representation would best show the amount of time Hannah spends sleeping, eating, attending school, studying, and relaxing in one day? Why?

A	line graph, because she can show the changes over time
B	scatter plot, because she can show the relationships between the variables
C	histogram, because she can show the portions of the day in intervals of time
D	circle graph, because she can compare the portion of time spent on each activity

 

5.   Kevin wants to analyze the maximum amount of weight he could lift over the past seven years. Which would be the best way to represent this?

A	line graph
B	histogram
C	bar graph
D	circle graph

Use the line graph below to answer question 6.

6. Which prediction for 2010 could be made based on the line graph?

A	The retirement account will increase.
B	The retirement account will decrease.
C	The retirement account will keep a steady value.
D	No prediction can be made.

 

 

Use the data set below to answer questions 7 and 8.

 

3, 3, 4, 5, 5, 5, 6, 7, 13

 

7.   Which dot plot correctly represents the data set shown above?

A

 

B

 

C  

 

D

8.   What is the mean absolute deviation of the data set shown in the previous question?

A	2
B	2.2
C	5.3
D	10

 

9.   Which of these questions would give results that could be shown in a dot plot?

A	What is the name of your favorite teacher?
B	What kind of pets do you have?
C	When was the last time you rode a bicycle?
D	How many different cities have you lived in?

 

Multiple-Choice Answer Key:

1. B

2. B

3. C

4. D

5. A

6. D

7. A

8. B

9. D

 

 

 

Short-Answer Items:

 

10. Report and label the five numbers needed to draw a box-and-whisker plot for the following data set:

23, 20, 74, 36, 9, 3, 99, 62, 41, 101, 12

 

 

 

 

 

11. Use the following data set to create a histogram:

48, 75, 21, 99, 15, 33, 51, 87, 62, 98, 11, 42, 39, 41, 68, 53, 49, 8, 19, 28, 32, 88

 

 

 

 

12. Plot the data on a dot plot and find the mean absolute deviation.

1, 2, 3, 4, 4, 4, 11, 12, 18, 21

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Short-Answer Key and Scoring Rubrics:

10. Report and label the five numbers needed to draw a box-and-whisker plot for the following data set:

23, 20, 74, 36, 9, 3, 99, 62, 41, 101, 12

 

Maximum = 10; minimum = 3; median = 36; upper quartile = 74; lower quartile = 12

Points	Description
2	Names and labels all ten items correctly, five numbers and five labels.
1	Names and labels six, seven, eight, or nine names and labels correctly.
0	Names and labels five or fewer names and labels correctly.

 

 

11. Use the following data set to create a histogram:

48, 75, 21, 99, 15, 33, 51, 87, 62, 98, 11, 42, 39, 41, 68, 53, 49, 8, 19, 28, 32, 88

 

Data	Frequency
81–100	4
61–80	3
41–60	6
21–40	5
0–20	4

Sample frequency table:         

 

Sample histogram

 

12. Plot the data on a dot plot and find the mean absolute deviation.

1, 2, 3, 4, 4, 4, 11, 12, 18, 21

The mean absolute deviation is 6.

 

Points	Description
2	The dot plot shows all ten data points. AND The mean absolute deviation is correct.
1	The dot plot shows all ten data points. OR The mean absolute deviation is correct.
0	Both the dot plot and the mean absolute deviation are done incorrectly or are missing.

 

 

 

Performance Assessment:

Generate your own data display. Choose a topic where you can easily collect, graph, and analyze data. Examples of possible topics may include music preferences, sports teams, food products, transportation to and from school, cars, bicycles, career choices, shopping, clothing preferences, footwear, or other similar choices. Present your process and data display to the class.

Follow these steps:

1. Choose a topic for which you can collect and measure data
   • Example -  minutes spent on homework each night
2. Collect data
   • Example - Poll classmates and record how many minutes, on average, they spend each night on homework.
3. Represent data using the most appropriate display
   • Example - This situation compares only one category of data, so it would best be represented using a box-and-whisker plot, stem-and-leaf plot, or dot plot.
4. Write a paragraph summarizing your data results; make any relevant conclusions
   • Example - Based on the data, what can you determine about how much time your classmates are spending on homework? Did anything surprise you? Did you experience any outliers? What follow-up experiments could you conduct with this information?
5. Present your process, data display, and findings to the class. Include a visual display that presents your data accurately and appropriately; be prepared to discuss why you chose this specific data display.

 

 

 

Performance Assessment Scoring Rubric:

Points	Description
4	Chooses a measurable topic and collects appropriate data. Includes correct and appropriate data representation and sufficient reason for choice. Provides complete interpretations and analyses; describes handling of unforeseen situations, such as outliers. Includes a complete summary set of correct, conclusive statements and predictions, with justification provided, showing complete understanding.
3	Chooses a measurable topic and collects appropriate data. Includes correct and appropriate data representation, but reason for choice may be lacking. Provides adequate interpretations and analyses; describes handling of unforeseen situations, such as outliers. Includes adequate set of correct, conclusive statements and predictions and justifications, with some possible conclusions/predictions missing.
2	Chooses a measurable topic but fails to collect appropriate data. Includes inappropriate or incorrect data representation AND reason for choice is lacking. Provides inadequate or incorrect interpretations/analyses OR description of handling of unforeseen situations. Includes inadequate or incorrect conclusive statements and predictions; provides justification.
1	Chooses an immeasurable topic; cannot collect appropriate data. Includes inadequate or incorrect data representation AND is missing reason for choice. Includes inadequate or incorrect interpretations/analyses AND missing further description of handling of unforeseen situations. Includes inadequate or incorrect conclusive statements and predictions AND does not provide justification.
0	Does not choose a topic. Is missing data representation AND missing choice. Is missing interpretations/analyses and further descriptions. Is missing conclusive statements, predictions, and justifications.