Welcome to the CLAST Practice Test.

1. Welcome to the CLAST Practice Test. • Each question has four answers provided. Choose the correct answer by clicking on the answer. • Click here to begin.

2. 1. Skill 1: Identifying information contained in bar, line, and circle graphs • 1.1 The graph at the left compares the grades between the males and females earned on the first Chemistry test in Professor Bond’s two Chemistry I classes. What was the total number of students in both these classes? • 59 • 34 • 29 • 63 No. of students

3. 2. Skill 1: Identifying information contained in bar, line, and circle graphs • 1.2 The graph at the left represents the rainfall for the first six months in a city. What is the biggest difference in rainfall between any two months? • 5 inches • 6 inches • 8 inches • 9 inches

4. 3. Skill 1: Identifying information contained in bar, line, and circle graphs • 1.3 The circle graph at the left represents the menu selections of 600 people attending a banquet. How many people attending the banquet chose beef or fish? • 150 • 180 • 330 • 420

5. 4. Skill 1: Identifying information contained in bar, line, and circle graphs • 1.4 The graph at the left compares the attendance at two theme parts over the period of a year. In which quarter did the attendance at Wally World exceed the attendance at Animal World by the greatest amount? • 1st quarter • 2nd quarter • 3rd quarter • 4th quarter

6. 5. Skill 1: Identifying information contained in bar, line, and circle graphs • 1.5 The line graph at the left shows the average number of cars sold each day at a large dealership over a four month period. What was the highest daily average number of cars sold? • 20 • 28 • 85 • 90

7. 6. Skill 1: Identifying information contained in bar, line, and circle graphs • 1.6 The pie graph at the left represents the number of students by age enrolled in college algebra for the summer term at a community college. What percentage of the students are less than 27 years old? • 45% • 55% • 60% • 70%

8. 7. Skill 2: Identifying relationships and making predictions based on statistical data • 2.1 The scatter diagram at the left represents the price of a laptop computer versus the number sold at a computer store. Which statement best summarizes the relationship between price and number sold. • Higher prices caused fewer laptops to be sold. • Higher prices tend to be associated with fewer laptops sold. • There is no apparent relationship between price and number sold. • Lower prices cause a higher number of laptops sold.

9. 8. Skill 2: Identifying relationships and making predictions based on statistical data • 2.2 The scatter diagram at the left represents the price of a laptop computer versus the number sold at a computer store. Approximately how many laptop where sold at the cheapest price ($1000)? • 20 • 40 • 50 • 60

10. 9. Skill 2: Identifying relationships and making predictions based on statistical data • 2.3 The graph at the left depicts the sales figures (in thousands) for two competing burger chains over a 7 year period from 1995 to 2002. Identify which statement is true based on the graph. • Both burger chains experienced in increase an sales over the 7 year period. • Yummy Burger spent more on advertisements than Big Burger. • During the time period between 1995 and 1997 Yummy Burger sold more burgers than Big Burger. • The number of burgers sold by both chains was equal in 1999.

11. 10. Skill 2: Identifying relationships and making predictions based on statistical data • 2.4 The table at the left contains information about the number of videos rented and movie attendance at two businesses at a strip mall. Which of the following statements describes the relationship between the number of videos rented and attendance at the movie theater? • An increase in the number of movies attended is associated with an increase in the number of videos rented. • Movies are just as good when viewed at home as they are at the theater. • It’s cheaper to rent videos than to go to the theater. • The increase in videos rented is greater than the increase in movie attendance.

12. 11. Skill 2: Identifying relationships and making predictions based on statistical data • 2.5 The table at the left presents information about the average home price in various U. S. cities in 2002 and the percent increase in price in 2002. Which of the following statements is true, based on the data provided in the table? • The city with the highest average home price had the largest percent increase in 2002. • Houses are cheaper in Atlanta than in Orlando. • All average home prices shown increased in 2002. • Homes in warmer climates are cheaper.

13. 12. Skill 3: Determining the mean, median, and mode of a set of numbers 3.1 Find the mean, median, and mode of the data: 2, 3, 7, 4, 3, 11, 7, 6, 4, 13, 4, 8 mean = 6 median = 5 mode = 4 mean = 5 median = 6 mode = 4 mean = 6 median = 5 mode = 7 mean = 5 median = 6 mode = 7

14. 13. Skill 3: Determining the mean, median, and mode of a set of numbers • 3.2 Given the following set of numbers, determine which statement is true: • 5, 15, 25, 35, 35, 55, 75 • The mean is less than the median. • The mode is greater than the mean. • The mean, median, and mode are equal. • The median is greater than the mode.

15. 14. Skill 4: Interpreting real-world data involving frequency and cumulative frequency tables • 3.3 The table at the left represents the distribution for the number of pets per household in a certain neighborhood. What is the mean number of pets per household? • 0 • 2.00 • 2.18 • 3

16. 15. Skill 4: Interpreting real-world data involving frequency and cumulative frequency tables • 3.4 The table at the left represents the distribution for the number of pets per household in a certain city. What is the median number of pets per household? • 1 • 2 • 3 • 4

17. 16. Skill 4: Interpreting real-world data involving frequency and cumulative frequency tables • 3.5 The table at the left represents the distribution for the number of pets per household in a certain city. What is the mode number of pets per household? • 0 • 1 • 2 • 3

18. 17. Skill 4: Interpreting real-world data involving frequency and cumulative frequency tables • 3.6 The table at the left represents the percentile distribution for employees of a national retail chain. What per cent of the employees have at least two years off college? • 16% • 25% • 45% • 75%

19. 18. Skill 4: Interpreting real-world data involving frequency and cumulative frequency tables • 4.1 The table at the left represents the percentile distribution for employees of a national retail chain. What per cent of the employees have more than the high school diploma but less than a masters degree? • 15% • 16% • 45% • 84%

20. 19. Skill 5: Recognizing relationships between the mean, median, and mode in a variety of distributions • 5.1 In a survey of community college students half reported they worked 15 hours a week. Equal numbers reported working 20 hours a week and 25 hours a week, while less reported working more than 35 hours per week. Select the statement that is true about the distribution of numbers of hours worked. • The median and the mode are the same. • The mean is less than the mode. • The median is greater than the mode. • The mean is less than the median.

21. 20. Skill 5: Recognizing relationships between the mean, median, and mode in a variety of distributions • 5.2 The graph at the left represents the distribution of scores in a introductory science class. Which of the following statements is true about the distribution? • The mean and mode are the same. • The mode and the mean are the same. • The median is less than the mode. • The mode is less than the mean.

22. 21. Skill 6: Choosing appropriate procedure for selecting an unbiased sample from a target population • 6.1 Professor Powell wants to survey students at a community college to determine whether they found the mandatory fall orientations (there were several sessions) to be worthwhile. Which of the following procedures would be most appropriate for selecting a statistically unbiased sample? • Ask all English composition instructors to administer the survey to their students. • Have the research department call and survey the first 100 students who attended fall orientation. • Post a notice in the cafeteria asking for volunteers. • Survey 100 students whose names are randomly chosen from a list of students attending the fall orientation.

23. 22. Skill 6: Choosing appropriate procedure for selecting an unbiased sample from a target population • 6.2 Professor Hakim wants to survey her students to determine their opinions of the online components she has added to her course. Which of the following methods would be most appropriate for obtaining an unbiased sample? • Survey all students who stop by her office for help. • Pick names at random from all her class rolls and interview those chosen after class. • Survey all students in her 8:00 am class. • Mail a survey to all her students with a stamped, self-addressed envelope.

24. 23. Skill 7: Applying counting rules • 7.1 At Samantha’s Spa you can get a facial, a pedicure, a manicure, or a steam treatment. How many different combinations of options are available, if at least one treatment is included? • 4 • 8 • 15 • 24

25. 24. Skill 7: Applying counting rules • 7.2 At Samantha’s Spa Josie can get a choice of four treatments: facial, a pedicure, a manicure, or a steam treatment. If Josie is going to get all four treatments, one after another, in how many different orders can she have four treatments? • 4 • 16 • 24 • 64

26. 25. Skill 7: Applying counting rules • 7.3 Joaquin must choose three courses from the five he needs to graduate this semester. How many different combinations of three courses can he choose? • 5 • 10 • 15 • 20

27. 26. Skill 7: Applying counting rules • 7.4 The environmental club has 8 students on its executive board. In how many ways can a president, vice-president, and secretary be chosen from this board? • 27 • 336 • 343 • 512

28. 27. Skill 7: Applying counting rules • 7.5 Elizabeth takes 3 pairs of shoes, 4 pairs of slacks, and 6 blouses on a weekend trip. How many different outfits can she wear, choosing one pair of shoes, one blouse, and one pair of slacks. • 12 • 24 • 36 • 72

29. 28. Skill 7: Applying counting rules • 7.6 A class of 22 students has 13 women and 9 men. A panel of 2 men and 2 women is chosen for a debate. In how many different ways can the panel be chosen? • 13 x 13 x 9 x 9 • 22 x 21 x 20 x 19 • 13 x 12 x 9 x 8 • 22 x 22 x 22 x 22

30. 29. Skill 8: Determining probabilities • 8.1 There are 20 raffle tickets sold for a school fundraiser. If Ray bought 3 tickets, what is the probability that he will win, assuming all tickets have an equal chance of being chosen? • 0 • 3/10 • 3/20 • 17/20

31. 30. Skill 8: Determining probabilities • 8.2 A recent survey indicated that 12% of students at a college are registered to vote. What is the probability that a student at this college chosen at random will not be registered to vote? • 0 • .12 • .50 • .88

32. 31. Skill 8: Determining probabilities • 8.3 A survey of homeowners indicated that 55% of homeowners had two or more televisions, 20% had DVD players, and 60% had cell phones. What is the probability that two randomly selected homeowners both have a DVD player? • .02 • .04 • .2 • .4

33. 32. Skill 8: Determining probabilities • 8.4 In a survey of students at a community college 35% work full-time, and 60% plan to continue to a 4-year college after graduation, and 20% both work full-time and plan to continue. If a student is chosen at random from this college, what is the probability that the student works full-time or plans to continue to a 4-year college after graduation? • .35 • .60 • .75 • .95

34. 33. Skill 8: Determining probabilities • 8.5 Suppose the probability of a certain brand of tire wearing out before the guaranteed 40,000 miles is .10. If you purchase 2 new tires, what is the probability that at least one will wear out before 40,000 miles? • .10 • .19 • .20 • .90

35. 34. Skill 8: Determining probabilities • 8.6 In a recent election, 25% of eligible voters registered to vote, and 30% of those registered voted. What is the probability that an eligible voter actually registered and voted? • .05 • .075 • .25 • .30

36. 35. Skill 9: Solving real-world problems using probabilities • 9.1 The table at the left shows the distributions of absences of the students who passed Professor’s Kilmer’s physics class for the fall term. If a student who passed his class is selected at random, what is the probability that student had less than 2 absences? • .14 • .21 • .26 • .47

37. 36. Skill 9: Solving real-world problems using probabilities • 9.2 The table at the left shows the distributions of absences of the students who passed Professor’s Kilmer’s physics class for the fall term. If a student who passed his class is selected at random, what is the probability that student had more than 1 but less than 5 absences? • .29 • .43 • .51 • .53

38. 37. Skill 9: Solving real-world problems using probabilities • 9.3 The table at the left shows the distributions of absences of the students who pass an advanced chemistry course on their first attempt at a large university. If two students who passed this class are selected at random, what is the probability that neither student had more than 3 absences? • .001 • .01 • .10 • .20

39. 38. Skill 9: Solving real-world problems using probabilities • 9.4 The table at the left shows the distributions of votes in a recent local mayoral election. Based on these results, what is the probability that a randomly selected voter voted for the Libertarian candidate? • .01 • .03 • .04 • .05

40. 39. Skill 9: Solving real-world problems using probabilities • 9.5 The table at the left shows the distributions of all votes in a recent local mayoral election. Based on these results, what is the probability that a randomly selected voter is female, given that the voter voted for the Democratic candidate? • .2 • .3 • .5 • .6

41. 40. Skill 9: Solving real-world problems using probabilities • 9.6 The pie chart at the left represents the distribution of beverage choices of students at the school cafeteria. If a student who uses the cafeteria is randomly chosen, what is the probability that the student does not choose coffee? • .11 • .22 • .74 • .89

42. 41. Skill 9: Solving real-world problems using probabilities • 9.7 The pie chart at the left represents the distribution of beverage choices of students at the school cafeteria. If a student who uses the cafeteria is randomly chosen, what is the probability that the student chooses either soda or diet soda? • .22 • .52 • .74 • .89

43. 42. Skill 9: Solving real-world problems using probabilities • 9.8 For a certain variety of citrus trees sold at a nursery, 90% are guaranteed to bear fruit within the first five years. Of the trees that bear fruit, 20% will be tangerines, 40% will be oranges and the rest will be grapefruit. If one of these trees is selected at random from the nursery, what is the probability that the tree will bear fruit within five years and be a tangerine tree? • .18 • .20 • .36 • .54

44. End of Test

45. 1. Correct Answer! Return to previous slide The solution is D, 63 students. 5 males and 9 females made “A,” 8 males and10 females made “B,” 12 males and 12 females made “C,” 3 males and 2 females made “D,”, and 1 male and 1 female made “F.”

46. 2. Correct Answer! Return to previous slide The solution is D, 9 inches. In April it rained 15 inches and in May it rained 6 inches. The difference is 15 – 6 = 9 inches.

47. 3. Correct Answer! Return to previous slide The correct answer is C, 330 people. 40% chose beef and 15% chose chicken, for a total of 55%. 55% of 600 people is .55 X 600 = 330.

48. 4. Correct Answer! Return to previous slide The correct answer is A, the first quarter. The distance between the dark blue and light blue bars are the greatest for this quarter.

49. 5. Correct Answer! Return to previous slide The correct answer is D, 90 cars each day. It is the highest point on the graph over the month of August, and it lies half-way between 80 and 100.

50. 6. Correct Answer! Return to previous slide The correct answer is D, 70%. The total number of students is 2000. The total number of students from 17 to 26 is 750+650=1400. 1400/2000=.70 or 70%.