Grade 4
Data Analysis, Statistics and Probability Answers
Question 10
Murray's parents took him and his sister to a restaurant for dinner. Murray and his
sister ordered tacos.
Taco Dinner
Shells Fillings Toppings
1
Drinks
Hard Beef
Cheese
Soft Chicken Lettuce
Bean
Tomato
Onions
Lemonade
Water
a. Murray's sister orders a hard-shell chicken taco with lemonade. She wants to
choose 3 toppings on the menu shown. List all the possible combinations of 3
toppings that can be made from the 4 choices on the menu.
b. Murray has to decide what kind of taco and drink he wants. List all the possible
combinations of 1 shell, 1 filling, and 1 drink he can make from the choices on the
menu. (Do not include toppings.)
c. Do you think you have found all the possible combinations? Explain your answer.
Scoring Guide
Score
Description
4
The response shows complete understanding of how to list combinations given a
list of possible choices and accurately calculate the total number of
combinations.
3
The response shows good understanding of how to list combinations given a list
of possible choices and calculate the number of combinations.
2
The response shows basic understanding of how to list combinations given a list
of possible choices and calculate the number of combinations.
1
The response shows a minimal understanding of how to list combinations given
a list of possible choices.
0
The response shows no real understanding of how to list combinations given a
list of possible choices and calculate the number of combinations.
Blank No Response.
2
2002 MCAS
Grade 4 Mathematics
Question # 10 - Score Point 4
3
4
5
6
7
Open Response Question 13
Look at the three graphs below. They show information about a class of fourth graders.
The titles and labels are missing.
a. Which graph would most likely be titled NUMBER OF BROTHERS AND
SISTERS? Explain why you chose that graph.
b. Which graph would most likely be titled AGES OF PARENTS OR GUARDIANS?
Explain why you chose that graph.
c. Choose a graph. Write a title for the graph. Explain how your title fits the
information in the graph. You may NOT use the titles from parts a and b.
8
Scoring Guide
Score
Description
4
The response shows a thorough understanding of data concepts by accurately
identifying graphs for data sets and clearly and effectively communicating
reasoning.
3
The response shows a general understanding of data concepts by identifying
graphs for data sets and adequately communicating reasoning.
2
The response shows a basic understanding of data concepts by identifying some
graphs for data sets and/or providing limited explanations of reasoning.
1
The response shows a minimal understanding of data concepts.
0
The response is incorrect or contains some correct work that is irrelevant to the
skill or concept being measure.
Blank No response.
9
10
11
Answer: Joy’s spinner
Answer: J, 6 out of 8
12
Answer: D, 2/6
Answer: Spinner B gives Maria the best probability of winning a prize. This is because Spinner
B is ¾ covered by either yellow and orange. Spinner A is only ½ covered by yellow and orange;
Spinner C is only 1/3 covered by orange and yellow.
13
ANSWER: A
ANSWER: C
14
15
ANSWER: A
ANSWER: C
16
17
18
19