Math AIMS BlitzPeriods 4 - 6

StatisticsTuesday, March 30

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Period 41. Which pair of events is dependent?

a. roll a fair cube; flip a coinb. flip a coin, flip the coin againc. select a card from a deck, then keep it; select another cardd. select a card from a deck, then put it back; select another card

2. Which pair of events is not independent?a. spin a spinner twiceb. select a card, replace it, select another cardc. roll two diced. select a ball from a bag, then select another without replacing the first.

3. Which pair of events is independent?a. spin a spinner twiceb. select a ball and select another without replacing the firstc. picking a pair of socks from a drawerd. picking and eating cookies out of a cookie jar

Dependent: 1st selection affects the next selection.

Period 4 ANSWERS1. Which pair of events is dependent?

a. roll a fair cube; flip a coinb. flip a coin, flip the coin againc. select a card from a deck, then keep it; select another cardd. select a card from a deck, then put it back; select another card

2. Which pair of events is not independent?a. spin a spinner twiceb. select a card, replace it, select another cardc. roll two diced. select a ball from a bag, then select another without replacing the first.

3. Which pair of events is independent?a. spin a spinner twiceb. select a ball and select another without replacing the firstc. picking a pair of socks from a drawerd. picking and eating cookies out of a cookie jar

Dependent: 1st selection affects the next selection.

Period 51. Six differently colored balls (red, blue, green,

orange, purple and white) are placed in a basket. Without looking, three balls are removed. What is the total number of combinations that include a red ball?

a. 3 b. 10 c. 20 d. 60

2. A telephone company wants to create as many 7-digit phone numbers as possible without changing the first 3 digits. How many phone numbers can be created?

a. 21 b. 40 c. 6,561 d. 10,000

3. In how many ways can first, second, and third place be awarded out of a field of 10 equally matched runners?

a. 720 b. 1,000 c. 6 d. 3,628,800

Period 5 ANSWERS1. Six differently colored balls (red, blue, green, orange, purple

and white) are placed in a basket. Without looking, three balls are removed. What is the total number of combinations that include a red ball? 5 other colors means 5 x 4 2(divide since order doesn’t make a difference) or list all the possibilities RBG, RBO, RBP, RBW, RGO, RGP, RGW, ROP, ROW, RPW)a. 3 b. 10 c. 20 d. 60

2. A telephone company wants to create as many 7-digit phone numbers as possible without changing the first 3 digits. How many phone numbers can be created? (10 possible digits for each of the 4 places in the number means 10 x 10 x 10 x 10)

a. 21 b. 40 c. 6,561 d. 10,0003. In how many ways can first, second, and third place be

awarded out of a field of 10 equally matched runners? (10 possible first places leaves 9 possible second placers and 8 possible third places = 10 x 9 x 8)

a. 720 b. 1,000 c. 6 d. 3,628,800

Period 61. The data below represents the scores for a soccer team: 0

0 0 1 1 2 10. Which measure of central tendency best represents the overall performance of the team and why?a. Mean, because it shows the average scores.b. Median, because it is the average of all scores.c. Mean, because it is not affected by an extreme score.d. Median, because it is not affected by an extreme score.

2. A team has twelve 15-year-old players and eight 16-year-old players. The coach of the team is 43 years old. Which measure of central tendency best represent the ages of the team, including the coach, and why?

a. Mean, because it is not affected by the age of the coach.b. Median, because it is not affected by the age of the coach.c. Mean, because it includes the age of everyone on the team.d. Mode, because it includes the age of everyone on the team.

Period 6 ANSWERS1. The data below represents the scores for a soccer team:

0 0 0 1 1 2 10. Which measure of central tendency best represents the overall performance of the team and why?a. Mean, because it shows the average scores.b. Median, because it is the average of all scores.c. Mean, because it is not affected by an extreme score.d. Median, because it is not affected by an extreme score.

2. A team has twelve 15-year-old players and eight 16-year-old players. The coach of the team is 43 years old. Which measure of central tendency best represent the ages of the team, including the coach, and why?

a. Mean, because it is not affected by the age of the coach.b. Median, because it is not affected by the age of the coach.c. Mean, because it includes the age of everyone on the team.d. Mode, because it includes the age of everyone on the team.