Solve for the Situation

AMHS Algebra 2 Name: Practice Test, Ch. 12 Solve for the situation.

1. One of the following triangles is selected at random. Find P(not a right triangle).

2. A bag is filled with buttons. The probability of randomly selecting a two-holed button is , a three-holed

button is , and a four-holed button is . Find P(less than four-holed button).

3. Find the odds of a computer randomly selecting a vowel from the name GEORGE WASHINGTON.

4. How many different 3-character codes can be made using a one-digit prime number as the first character, a vowel as the second character, and Y or Z as the last character?

5. Chili Topping Cheese Vegetarian Onions Cheddar Texas Peppers Swiss Cincinnati Hot Sauce Monterey Jack Turkey American Sausage

At Bart’s Chili Shack you order by choosing a type of chili, a topping, and a cheese. How many different combinations are there? AMHS Algebra 2 Name: Practice Test, Ch. 12

Solve for the situation.

6. 7. Day Number of Employee Weekly Salary Customers Sandy $170 Monday 10 Pete $125 Tuesday 15 Heather $250 Wednesday 14 Chris $225 Thursday 15 Britt $275 Friday 9 Janeen $175 Saturday 19 Jake $250

The chart shows the number of customers a auto The chart shows the weekly salary for part-time repair shop had last week. Find the mean, median workers at a grocery store. Find the mean, median and mode. and mode.

8. Georgia scored 14, 18, 9, 20, and 13 points in her first 5 basketball games of the season. How many points does she need to score in her next game to have an average (mean) of exactly 14 points a game?

9. Player Height (in.) Hal 62 Juan 58 Jon 67 Sven 60 Steve 68 Cliff 72 Thomas 69 Sergio 65 Bill 60

The chart shows the height of the players on Hal’s volleyball team. Find the range, median, lower quartile, and upper quartile.

10. The average weight of the 21 students in Wanda’s class was 152 lbs. When Kal left the room the average weight increased to 153 pounds. How much does Kal weigh?

Solve for the situation. AMHS Algebra 2 Name: Practice Test, Ch. 12

11. What is the difference between the range and the interquartile range?

The histogram shows the age of the presidents of the United States when they took office. How many more presidents were inaugurated while in their 50s than in their 60s?

13. Franklin is making a bar graph using the data in the frequency table. How many times higher will the summer bar be than the fall bar?

14. The line graph shows the average daily temperature during Taylor’s vacation. What is the difference between the highest temperature and the lowest temperature? AMHS Algebra 2 Name: Practice Test, Ch. 12

15. The stem-and-leaf plot shows the weight in pounds of all the dogs in a dog show. Do more dogs weigh less or more than 50 pounds?

Identify each sample. Then classify the sample as simple, stratified, systematic, convenience, or voluntary.

16. A popcorn manufacturer wants to check the quality of the popcorn it sells. Every 30 minutes, a bag of popcorn is pulled off the assembly line to be tested.

____ 17. To check spoilage, a produce worker chooses 10 strawberries from the top of a crate. a. 10 strawberries; simple c. 10 strawberries; systematic b. 10 strawberries; stratified d. 10 strawberries; convenience

18. The first 15 people in line for a hockey game are asked who their favorite team is.

19. A local country radio station asks listeners to call in about the best song of the year.

20. A teacher wants students to place five homework problems on the board. She has the first five students who raise their hand place the problems on the board.

____ 21. The 30 students in a class are each assigned a number from 1 to 30. Then four of the 30 numbers are picked at random. a. four students; simple c. 30 students; systematic b. four students; stratified d. 4 students; systematic

22. Ten parks are selected randomly from a list of all parks in the state. Then one liter of soil is collected from the soccer fields at each park.

23. A school is divided into male and female students. Then 10 male and 10 female students are chosen at random. AMHS Algebra 2 Name: Practice Test, Ch. 12

____ 24. A city is divided into 5 zip codes. Seven residents are chosen at random from each zip code. a. 5 residents; simple c. 35 residents; systematic b. 35 residents; stratified d. 35 residents; simple

25. A car manufacturer is concerned with quality control. Every hundredth car is checked for defects.

State whether the sample is biased or unbiased. If unbiased, classify the sample as simple, stratified, or systematic. If biased, classify the sample as convenience or voluntary.

26. A farmer wants to check the quality of his eggs. Every fifteenth egg is checked for quality.

____ 27. Students are presenting their science fair projects. The teacher selects the first five students who raise their hand to present their projects on Monday. a. unbiased; stratified c. biased; convenience b. unbiased; systematic d. biased; voluntary 28. A local television show asks its viewers to voice their opinion on a new recycling program. Viewers are asked to email their opinion to the station.

29. The school newspaper asks readers to write letters stating their preferred lunch menu.

30. The sophomore class is designing a class T-shirt. The class president asks five of her friends which T-shirt design is the best.

____ 31. The 20 students in a class are each assigned a different number from 1 to 20. Then five of the 20 numbers are picked at random. a. unbiased; stratified c. biased; convenience b. unbiased; simple d. biased; voluntary

32. Pieces of paper with the names of 10 freshmen are drawn from a box containing identical pieces of paper with the names of all freshmen. AMHS Algebra 2 Name: Practice Test, Ch. 12 33. A state is divided into its 88 counties. Then four residents are randomly selected from each county.

34. A school is divided into freshman, sophomore, junior, and senior classes. Then five students are randomly selected from each class.

35. A manufacturer wants to check the quality of its light bulbs. Every 5 minutes, a light bulb is removed from the assembly line and tested.

Find the median. Round to the nearest tenth.

____ 36. {21, 11, 79, 17, 12, 13}

a. 79 c. 11 b. 15 d. 17 ____ 37. {12, 28, 90, 12, 16, 10}

a. 19 c. 10 b. 14 d. 12

Find the mean. Round to the nearest tenth.

____ 38. {20, 21, 23, 26, 38, 39}

a. 27.8 c. 22.9 b. 26.3 d. 32.7

____ 39. {20, 22, 22, 23, 29, 36}

a. 25.3 c. 23.9 b. 28.7 d. 20.4

40. A convenience store chain took a random survey of some of their stores to find the average number of fountain drinks they sell per day. The results were: {132, 154, 135, 145, 25, 144, 147, 129, 133}. Which measure of central tendency best represents the data? Justify your answer and find the measure.

41. Every 100th person to enter a music festival was asked their age. The results are shown in the table. Which measure of central tendency best represents the data? Justify your answer and find the measure.

17 64 24 20 18 23 23 19 17 20 18 23 19 18 59 21 AMHS Algebra 2 Name: Practice Test, Ch. 12 22 25 22 16

42. The height (in meters) of the basketball players on an Olympic team were: {2.1, 1.75, 1.6, 2.2, 1.8, 1.95, 1.85, 2, 1.65, 2}. Which measure of central tendency best represents the data? Justify your answer and find the measure.

43. The test scores of the students in drivers education were: {95, 90, 95, 95, 95, 90, 95, 95, 95}. Which measure of central tendency best represents the data? Justify your answer and find the measure.

Find the mean absolute deviation. Round to the nearest tenth.

____ 44. {1, 2, 2, 10, 10, 11}

a. 4.3 c. 3.9 b. 1.3 d. 3.5 ____ 45. {3, 4, 6, 6, 8, 9}

a. 1.7 c. 2.9 b. 3.9 d. 2.6 ____ 46. {2, 4, 6, 6, 8, 10}

a. 2 c. 1.1 b. 3.2 d. 3.1

Find the variance. Round to the nearest tenth.

____ 47. {6, 7, 13, 17, 20, 20}

a. 35.6 c. 30.2 b. 32.5 d. 31.6

____ 48. {1, 2, 3, 4, 9, 14}

a. 20.1 c. 24.3 b. 20.9 d. 22

____ 49. {3, 6, 8, 8, 19, 20}

a. 40.1 c. 40.2 b. 41.9 d. 44.6 AMHS Algebra 2 Name: Practice Test, Ch. 12

50. Alex ran the 100-meter dash in ten competitions this year. His times were 11.2, 11.5, 11.4, 10.8, 12.0, 11.8, 10.8, 11.4, 11.3, and 11.0. Find the variance and standard deviation. Round to the nearest hundredth.

51. Andy is learning to play the guitar. Last week he recorded the minutes per day that he practiced. Find the mean absolute deviation. Round to the nearest tenth.

Day S M T W T F S Minutes 40 55 35 60 20 50 55

52. Sandra used a price comparison website to find the best deal on a digital camera. Find the mean absolute deviation. Round to the nearest tenth.

Price ($) 230 216 229 232 221 240

53. The chart shows the 10 longest drives hit during a golf tournament. Find the mean and the mean absolute deviation. Round to the nearest tenth.

Drive (yd) 299 305 307 310 315 316 318 321 325 329

54. Be able to find the quartiles and draw a box-and-whisker plot when given a set of data. Try it using the data in problem #53 above. Determine the quartiles and draw out the box-and-whisker over a number line. Pencil only. Answer Section 20. five students; voluntary 21. A 1. , 40%, or 0.40 22. 10 1-liter containers of soil, one from each park; simple 23. 20 students; stratified 2. , 83%, or 0.83 24. B 3. 6:10 25. a group of cars; systematic 4. 40 26. unbiased; systematic

27. D 5. 60 28. biased; voluntary 6. The mean is 13.7, the median is 14.5, and the mode is 15. 29. biased; voluntary 7. The mean is $210, the median is $225, and 30. biased; convenience the mode is $250. 31. B 8. 10 points 32. unbiased; simple 33. unbiased; stratified 34. unbiased; stratified 9. The range is 14, the median is 65, the lower 35. unbiased; systematic quartile is 60, and the upper quartile is 68.5 36. B 37. B

10. 132 lbs. 38. A 39. A 11. 15 40. Sample answer: Median would be the best because there is an outlier (25). The median is 135. 12. 15

41. Sample answer: Median would be the best 13. 5 because there are two outliers (64 and 59). The median is 20.5.

14. 18 42. Sample answer: Mean would be the best because there no outliers. The mean is 1.89 m.

15. More dogs weigh less than 50 pounds 43. Sample answer: Mode would be the best 16. bags of popcorn; systematic because there are many repeated numbers. The 17. D mode is 95. 18. 15 people; convenience 19. group of country radio station listeners; 44. A voluntary 45. A 46. A 51. 11.4 47. B

48. B 52. 6.3 49. B

50. 53. mean is 314.5; mean absolute deviation is 7.4