I choose assigned number 10

Instructions

Question 1 has a and b. Question 2 has a, b, c, d, and e. Question 3 is a single question. Question 4 has a and b.

Question 1

Statistics: Mean and Median

Refer to the chart below and the line associated with your assigned number to answer these questions. The data represent your hypothetical walking times for each of the months January - October (10 months).

1. Calculate your mean and your median walking time for the 10 months.
2. How many minutes would you have to walk in November so that your mean for the 11 months would be 2 percentage points more than your mean for the 10 months?

Assigned #	January - October
1	247, 257, 277, 315, 328, 342, 351, 352, 360, 411
2	312, 326, 345, 390, 400, 435, 450, 478, 487, 510
3	125, 136, 147, 148, 159, 168, 210, 245, 278, 301
4	410, 419, 431, 467, 498, 504, 506, 523, 545, 578
5	267, 278, 289, 306, 330, 345, 378, 400, 432, 456
6	311, 324, 356, 378, 388, 399, 402, 408, 456, 460
7	178, 182, 188, 198, 205, 219, 230, 245, 278, 300
8	401, 423, 434, 467, 489, 500, 503, 511, 518, 520
9	347, 357, 377, 415, 428, 442, 451, 452, 560, 511
10	412, 426, 445, 490, 500, 535, 550, 578, 587, 610
11	125, 139, 149, 150, 159, 167, 178, 210, 245, 278,
12	310, 319, 331, 367, 398, 410, 416, 420, 444, 450
13	270, 278, 289, 308, 320, 345, 379, 401, 432, 456
14	303, 314, 336, 368, 388, 399, 401, 408, 426, 440
15	172, 182, 187, 198, 204, 220, 230, 245, 268, 290
16	401, 433, 454, 467, 489, 501, 513, 519, 525, 528
17	247, 257, 277, 315, 328, 342, 351, 352, 360, 411
18	312, 326, 345, 390, 400, 435, 450, 478, 487, 510
19	125, 136, 147, 148, 159, 188, 210, 245, 278, 301
20	410, 419, 431, 467, 498, 530, 536, 543, 545, 578
21	270, 278, 289, 310, 330, 345, 388, 400, 422, 456
22	316, 334, 356, 378, 389, 399, 402, 408, 426, 430
23	188, 190, 198, 199, 205, 219, 230, 245, 258, 270
24	411, 433, 454, 467, 489, 501, 503, 515, 518, 520
25	377, 387, 397, 415, 428, 442, 451, 452, 510, 520
26	422, 436, 445, 480, 500, 535, 540, 578, 587, 610
27	267, 278, 289, 306, 330, 345, 378, 400, 432, 456
28	330, 339, 341, 367, 399, 420, 426, 430, 454, 460
29	270, 288, 299, 308, 330, 345, 380, 401, 432, 446
30	309, 317, 326, 348, 378, 399, 401, 408, 426, 440
31	162, 182, 187, 198, 210, 220, 230, 235, 248, 290
32	404, 423, 434, 467, 499, 518, 523, 529, 535, 538
33	247, 257, 277, 315, 328, 342, 351, 352, 360, 411
34	312, 326, 345, 390, 400, 435, 450, 478, 487, 510
35	347, 357, 477, 515, 528, 542, 551, 552, 560, 611
36	212, 226, 245, 290, 300, 335, 350, 378, 487, 510

Instructions

Question 2

Probability

Refer to the chart below and the line associated with your assigned number to answer these questions.

There are two boxes containing only red and purple pens. A pen is randomly chosen from each box.

1. Which of these events is most likely to occur? Be sure to show all your calculations. Event1: choosing a red pen from Box B. Event2: choosing a purple pen from Box A. Event3: choosing a red pen from Box A.
2. Which of these events is least likely to occur? Be sure to show all your calculations. Event1: choosing a red pen from Box A. Event2: choosing a purple pen from Box B. Event3: choosing a red pen from Box B.
3. Name an event where the probability would be 1.
4. Name an event where the probability would be 0.
5. Name an event where the probability would be 3.

Assigned #	Box A purple pens	Box A red pens	Box B purple pens	Box B red pens
1	16	5	10	7
2	17	6	11	8
3	18	7	12	9
4	19	8	13	10
5	20	9	14	11
6	21	10	15	12
7	22	11	16	13
8	23	12	17	14
9	24	13	18	15
10	25	14	19	16
11	26	15	20	17
12	27	16	9	18
13	28	17	8	10
14	29	18	7	11
15	30	19	6	13
16	7	20	10	14
17	8	21	12	15
18	9	22	14	9
19	10	23	16	8
20	11	24	18	7
21	12	25	20	6
22	13	26	7	11
23	14	6	8	17
24	15	9	9	8
25	16	8	22	6
26	17	7	24	9
27	10	15	26	12
28	9	14	13	20
29	8	13	15	21
30	12	6	19	22
31	13	7	17	19
32	14	8	7	8
33	15	9	10	9
34	10	15	23	5
35	20	10	10	2
36	10	20	20	10

Instructions

Question 3

Counting

Answer the questions that correspond with your assigned number.

1. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions?
2. A lunch special has 3 choices from the soup category, 8 choices from the salad category and 3 choices from the dessert category. You must choose one from each category. How many ways can you choose the lunch special.
3. A research project is divided into 3 stages. In stage 1 you must choose a topic from 5 listed topics. In Stage 2 you must find data on your topic from one of 5 listed sources. In stage 3 you must present the data in one of 5 graphical representations. In how many ways can you complete stages 1,2,3.
4. You are planning a vacation and have identified 4 destinations, 3 modes of transportation, 3 months during which you can travel. How many itineraries can you have of one destination, one mode of transportation, and one month in which you will travel.
5. A small business is forming an advisory committee. The committee will have 1 person from each of the following groups: Group 1 is the 7 full time employees. Group 2 is the 4 investors. Group 3 the 12 customers who recently made orders. In how many ways can the committee be formed?
6. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions?
7. A lunch special has 3 choices from the soup category, 8 choices from the salad category and 3 choices from the dessert category. You must choose one from each category. How many ways can you choose the lunch special.
8. A research project is divided into 3 stages. In stage 1 you must choose a topic from 5 listed topics. In Stage 2 you must find data on your topic from one of 5 listed sources. In stage 3 you must present the data in one of 5 graphical representations. In how many ways can you complete stages 1,2,3.
9. You are planning a vacation and have identified 4 destinations, 3 modes of transportation, 3 months during which you can travel. How many itineraries can you have of one destination, one mode of transportation, and one month in which you will travel.
10. A small business is forming an advisory committee. The committee will have 1 person from each of the following groups: Group 1 is the 7 full time employees. Group 2 is the 4 investors. Group 3 the 12 customers who recently made orders. In how many ways can the committee be formed?
11. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions?
12. A lunch special has 3 choices from the soup category, 8 choices from the salad category and 3 choices from the dessert category. You must choose one from each category. How many ways can you choose the lunch special.
13. A research project is divided into 3 stages. In stage 1 you must choose a topic from 5 listed topics. In Stage 2 you must find data on your topic from one of 5 listed sources. In stage 3 you must present the data in one of 5 graphical representations. In how many ways can you complete stages 1,2,3.
14. You are planning a vacation and have identified 4 destinations, 3 modes of transportation, 3 months during which you can travel. How many itineraries can you have of one destination, one mode of transportation, and one month in which you will travel.
15. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions?
16. A lunch special has 3 choices from the soup category, 8 choices from the salad category and 3 choices from the dessert category. You must choose one from each category. How many ways can you choose the lunch special.
17. A research project is divided into 3 stages. In stage 1 you must choose a topic from 5 listed topics. In Stage 2 you must find data on your topic from one of 5 listed sources. In stage 3 you must present the data in one of 5 graphical representations. In how many ways can you complete stages 1,2,3.
18. You are planning a vacation and have identified 4 destinations, 3 modes of transportation, 3 months during which you can travel. How many itineraries can you have of one destination, one mode of transportation, and one month in which you will travel.
19. A small business is forming an advisory committee. The committee will have 1 person from each of the following groups: Group 1 is the 7 full time employees. Group 2 is the 4 investors. Group 3 the 12 customers who recently made orders. In how many ways can the committee be formed?
20. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions?
21. A lunch special has 3 choices from the soup category, 8 choices from the salad category and 3 choices from the dessert category. You must choose one from each category. How many ways can you choose the lunch special.
22. A research project is divided into 3 stages. In stage 1 you must choose a topic from 5 listed topics. In Stage 2 you must find data on your topic from one of 5 listed sources. In stage 3 you must present the data in one of 5 graphical representations. In how many ways can you complete stages 1,2,3.
23. You are planning a vacation and have identified 4 destinations, 3 modes of transportation, 3 months during which you can travel. How many itineraries can you have of one destination, one mode of transportation, and one month in which you will travel.
24. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions?
25. A lunch special has 3 choices from the soup category, 8 choices from the salad category and 3 choices from the dessert category. You must choose one from each category. How many ways can you choose the lunch special.
26. A research project is divided into 3 stages. In stage 1 you must choose a topic from 5 listed topics. In Stage 2 you must find data on your topic from one of 5 listed sources. In stage 3 you must present the data in one of 5 graphical representations. In how many ways can you complete stages 1,2,3.
27. You are planning a vacation and have identified 4 destinations, 3 modes of transportation, 3 months during which you can travel. How many itineraries can you have of one destination, one mode of transportation, and one month in which you will travel.
28. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions?
29. A lunch special has 3 choices from the soup category, 8 choices from the salad category and 3 choices from the dessert category. You must choose one from each category. How many ways can you choose the lunch special.
30. A research project is divided into 3 stages. In stage 1 you must choose a topic from 5 listed topics. In Stage 2 you must find data on your topic from one of 5 listed sources. In stage 3 you must present the data in one of 5 graphical representations. In how many ways can you complete stages 1,2,3.
31. You are planning a vacation and have identified 4 destinations, 3 modes of transportation, 3 months during which you can travel. How many itineraries can you have of one destination, one mode of transportation, and one month in which you will travel.
32. A small business is forming an advisory committee. The committee will have 1 person from each of the following groups: Group 1 is the 7 full time employees. Group 2 is the 4 investors. Group 3 the 12 customers who recently made orders. In how many ways can the committee be formed?
33. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions?
34. A lunch special has 3 choices from the soup category, 8 choices from the salad category and 3 choices from the dessert category. You must choose one from each category. How many ways can you choose the lunch special.
35. A research project is divided into 3 stages. In stage 1 you must choose a topic from 5 listed topics. In Stage 2 you must find data on your topic from one of 5 listed sources. In stage 3 you must present the data in one of 5 graphical representations. In how many ways can you complete stages 1,2,3.
36. On an exam, there are three parts. Part 1 has 5 questions on probability. Part 2 has 6 questions on statistics, and part 3 has 4 questions on logic. You must choose 1 question from each part. How many ways can you choose the three questions?

Question 4

Answer the question that corresponds with your assigned number.

If the order in a choice does not matter, then a choice such as F G H is the same as the choice of H F G. The Combination rule applies.

If the order in a choice does matter, then a choice such as K L M is different from a choice of M K L. The Permutation rules apply.

1. On a test in a math class there are 8 questions, and you must answer 5 of them.
   1. How many ways can you choose the 5 questions if the order does not matter?
   2. How many ways can you choose the 5 questions if the order does matter?
2. In a history class there are 5 projects, and you must complete 2 projects.
   1. How many ways can you choose the 2 projects if the order does not matter?
   2. How many ways can you choose the 2 projects if the order does matter?
3. You must select 3 math help websites from a list that contains 6 different websites.
   1. How many ways can you choose the 3 websites if the order does not matter?
   2. How many ways can you choose the 3 websites if the order does matter?
4. You must make 5-question tests from a test bank of 8 questions.
   1. How many tests can you make if the order does not matter?
   2. How many tests can you make if the order does matter?
5. Four finalists for a job will be chosen from 10 interviewees.
   1. How many ways can the finalists be chosen if the order does not matter?
   2. How many ways can the finalists be chosen if the order does matter?
6. A group of 3 students in a class of 22 students will be chosen to make a presentation.
   1. How many ways can the group of 3 be chosen if the order does not matter?
   2. How many ways can the group of 3 be chosen if the order does matter?
7. You are planning to paint your office and have narrowed your choices to 20 paint colors and will choose 3 colors to use.
   1. How many different combos can you choose if the order does not matter?
   2. How many combos can you choose if the order does matter?
8. From the12 albums released by a musician, the recording company wishes to release3in a boxed set.
   1. How many boxed sets are possible if the order does not matter?
   2. How many boxed sets are possible if the order does matter?
9. From a collection of10store customers, 3are to be chosen to receive a special gift.
   1. How many groups of3customers are possible if the order does not matter?
   2. How many groups of3customers are possible if the order does matter?
10. An experiment involves11participants. From these, a group of4 participants is to be tested under a special condition.
    1. How many groups of4participants are possible if the order does not matter?
    2. How many groups of4participants are possible if the order does matter?
11. A pizza parlor has a choice of 9toppings for its pizzas.
    1. How many 4-topping pizzas can be chosen if the order does not matter?
    2. How many 4-topping pizzas can be chosen if the order does matter?
12. A 4-member committee will be formed from 11 people.
    1. How many committees can be formed if the order does not matter?
    2. How many committees can be formed if the order does matter?
13. Three television programs will be selected from 13 programs.
    1. How many groups of 3 programs can be formed if the order does not matter?
    2. How many groups of 3 programs can be formed if the order does matter?
14. Five finalists for a job will be chosen from 8 interviewees.
    1. How many ways can the finalists be chosen if the order does not matter?
    2. How many ways can the finalists be chosen if the order does matter?
15. On a test in a math class there are 8 questions, and you must answer 6 of them.
    1. How many ways can you choose the 6 questions if the order does not matter?
    2. How many ways can you choose the 6 questions if the order does matter?
16. In a history class there are 7 projects, and you must complete 2 projects.
    1. How many ways can you choose the 2 projects if the order does not matter?
    2. How many ways can you choose the 2 projects if the order does matter?
17. You must select 4 math help websites from a list that contains 6 different websites.
    1. How many ways can you choose the 4 websites if the order does not matter?
    2. How many ways can you choose the 4 websites if the order does matter?
18. You must make 4-question tests from a test bank of 9 questions.
    1. How many tests can you make if the order does not matter?
    2. How many tests can you make if the order does matter?
19. Five finalists for a job will be chosen from 8 interviewees.
    1. How many ways can the finalists be chosen if the order does not matter?
    2. How many ways can the finalists be chosen if the order does matter?
20. A group of 3 students in a class of 10 students will be chosen to make a presentation.
    1. How many ways can the group of 3 be chosen if the order does not matter?
    2. How many ways can the group of 3 be chosen if the order does matter?
21. You are planning to paint your office and have narrowed your choices to 10 paint colors and will choose 3 colors to use.
    1. How many different combos can you choose if the order does not matter?
    2. How many combos can you choose if the order does matter?
22. From the9 albums released by a musician, the recording company wishes to release4in a boxed set.
    1. How many boxed sets are possible if the order does not matter?
    2. How many boxed sets are possible if the order does matter?
23. From a collection of15store customers, 3 are to be chosen to receive a special gift.
    1. How many groups of3customers are possible if the order does not matter?
    2. How many groups of3customers are possible if the order does matter?
24. An experiment involves11participants. From these, a group of4participants is to be tested under a special condition.
    1. How many groups of4participants are possible if the order does not matter?
    2. How many groups of4participants are possible if the order does matter?
25. A pizza parlor has a choice of 10toppings for its pizzas.
    1. How many 4-topping pizzas can be chosen if the order does not matter?
    2. How many 5-topping pizzas can be chosen if the order does matter?
26. A 4-member committee will be formed from 9 people.
    1. How many committees can be formed if the order does not matter?
    2. How many committees can be formed if the order does matter?
27. Four television programs will be selected from 11 programs.
    1. How many groups of 4 programs can be formed if the order does not matter?
    2. How many groups of 4 programs can be formed if the order does matter?
28. Two finalists for a job will be chosen from 10 interviewees.
    1. How many ways can the finalists be chosen if the order does not matter?
    2. How many ways can the finalists be chosen if the order does matter?
29. On a test in a math class there are 8 questions, and you must answer 5 of them.
    1. How many ways can you choose the 5 questions if the order does not matter?
    2. How many ways can you choose the 5 questions if the order does matter?
30. In a history class there are 9 projects, and you must complete 2 projects.
    1. How many ways can you choose the 2 projects if the order does not matter?
    2. How many ways can you choose the 2 projects if the order does matter?
31. You must select 4 math help websites from a list that contains 6 different websites.
    1. How many ways can you choose the 4 websites if the order does not matter?
    2. How many ways can you choose the 4 websites if the order does matter?
32. You must make 5-question tests from a test bank of 10 questions.
    1. How many tests can you make if the order does not matter?
    2. How many tests can you make if the order does matter?
33. Four finalists for a job will be chosen from 12 interviewees.
    1. How many ways can the finalists be chosen if the order does not matter?
    2. How many ways can the finalists be chosen if the order does matter?
34. A group of 3 students in a class of 9 students will be chosen to make a presentation.
    1. How many ways can the group of 8 be chosen if the order does not matter?
    2. How many ways can the group of 8 be chosen if the order does matter?
35. You are planning to paint your office and have narrowed your choices to 13 paint colors and will choose 3 colors to use.
    1. How many different combos can you choose if the order does not matter?
    2. How many combos can you choose if the order does matter?
36. From the10 albums released by a musician, the recording company wishes to release4in a boxed set.
    1. How many boxed sets are possible if the order does not matter?
    2. How many boxed sets are possible if the order does matter?