Data Analysis, Statistics & Probability - ANSWER KEY DAY 1

Transcription

1 Data Analysis, Statistics & Probability - ANSWER KEY DAY 1 D 1. Dish, vanilla ice cream Sugar cone, vanilla ice cream Regular cone, vanilla ice cream 4. Dish, chocolate ice cream 5. Sugar cone, chocolate ice cream 6. Regular cone, chocolate ice cream 7. Dish, strawberry ice cream 8. Sugar cone, strawberry ice cream 9. Regular cone, strawberry ice cream No, these are the only ways to order 1 scoop with these flavors and containers. Yes, if they have two scoops, etc. Extended ly shows all 9 different ways, and answers "yes" or "no" with appropriate explanation to second part Satisfactory Shows 7 or 8 different ways, with or without an explanation to second part Shows 9 different ways without an explanation to second part or with an inappropriate or incorrect explanation Partial Shows 4, 5, or 6 different ways, with or without an explanation to second part Minimal Shows 1,2, or 3 different ways, with or without an explanation to second part Shows 9 ways but they are not clearly defined response In this question the student needed to list the 9 different possible combinations of three flavors of ice cream served in three types of containers. The student also needed to recognize that these combinations were all the possible combinations of having one scoop of ice cream in a container. Determining a sample space is a prerequisite skill for the study of probability..

2 Data Analysis, Statistics & Probability - ANSWER KEY DAY 2 1. A. Both bars drawn correctly. ("Line" bars are acceptable.) response or incomplete response includes one correct bar only or one correct bar and one incorrect bar In this question the student needed to read information presented in a table and complete a bar graph representing the given information. The student was first required to select the appropriate values from the table. Finally, the student needed to determine the correct height for the bars representing scores of 90 and 95 and draw the bars on the graph. 1,200 or 1200 # ,209 (or equivalent) #1 Any incorrect response other than those described in, #

3 Data Analysis, Statistics & Probability - ANSWER KEY DAY 3 1. A. response response #1 Any incorrect response other than as described in.

4 Data Analysis, Statistics & Probability - ANSWER KEY DAY 4 Both dog and hamsters correct. Any type of shading bars is acceptable (no shading is also acceptable). Top edge of hamsters should fall between 2 and 4 (anywhere) but not 2 or 4. Note: Vertical lines that are the same length as the appropriate bars are acceptable. response #3 Only bar for hamsters correct. Only bar for dogs correct. #1 response no bars correct. yy, bb, by All 3 outcomes listed. (A correct pair can be repeated as long as all 3 correct pairs are given and no incorrect pair is included.) Note: Repeating yb is incorrect, and automatically lowers score to #1. #3 Uses numbers instead of colors, e.g., one or more of (1,1), (2,0), (0,2). 1 or 2 correct responses - no incorrect pairs included. #1 Any incorrect response other than those described in or # Note: Any pairs that give a sum other than 2, e.g., (2,2) receive a score of #1. Also (0,1) and (1,0) receive a score of #1.

5 Data Analysis, Statistics & Probability - ANSWER KEY DAY 5 5 gumballs would probably be red. Half of the 100 gumballs in the machine are red, so it is reasonable to expect that since the gumballs are well mixed, approximately half of what Jenny gets out should be red. Answers such as 4 or 6 are acceptable with a correct explanation. A less correct explanation: There are more reds in the machine so more reds would come out. Also acceptable: 5 because 10 percent of 50 is 5 (and 10 is 10 percent of 100) 5 because 50 divided by 10 is 5 Scoring Guide: In this question a student needed to make a prediction about the number of red gumballs Jenny would have received if she got 10 gumballs from the gum machine. Since the gumballs are well mixed and half of the gumballs in the machine are red, one would expect that half of what she got out be red. To receive full credit the student should have given an answer of 5 gumballs with an explanation that is equivalent to the preceding sentence. Levels of decreasing partial credit (satisfactory, partial, minimal) could be earned by a student who has some intuitive sense of what the number of red gum balls in a sample should be, but has difficulty explaining it, or only has a weak understanding of the situation. Extended response: 4-6 gumballs Half of the gumballs are red Satisfactory Answers 4-6 gumballs with explanation that there are more red gumballs than any other color. Partial Answers 3-7 with no explanation or insufficient explanation Answers 1-2 or 8-10 gumballs with explanation that there are more red gumballs. Minimal Answers greater than 10 or no number with explanation that there are more red gumballs. response Red 1/2