Name: Class: Date: Practice Mastery Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A population refers to a. a portion of a group about which data are being collected b. the number of individuals in a group c. the entire group about which data are being collected d. the number of individuals within a given category 2. For the data represented in the above box-and-whisker plot, the median of the upper half of the data is a. 17 c. 24 b. 21 d. 27 3. A frequency table is used to a. represent data in a graphical format b. list variables and their frequencies c. analyze the change in frequencies over time d. illustrate the median and spread of a set of data 4. A causal relationship means that a. two variables have a positive correlation b. two variables have a negative correlation c. two variables are unrelated d. one variable directly affects another 1
Name: 5. Students at a high school were asked if they ever rode a bicycle to school. The results are shown in the following graph. Which of the following conclusions is valid? a. most males ride a bicycle to school b. females are less likely to bike to school c. males are less likely to bike to school d. there is no relationship between gender and biking to school 6. Which of the following is not true about a dependent variable? a. a dependent variable is determined from the independent variable b. a dependent variable is represented on the vertical axis of a graph c. a dependent variable represents the frequency of the independent variable d. a dependent variable may take on the same value for 2 different data points 7. In the following graph, what type of correlation is indicated? a. strong positive c. weak positive b. strong negative d. weak negative 8. A line of best fit a. must pass through the origin b. must pass through the median of the data c. must have a positive slope d. represents the trend of the data 2
Name: 9. If two variables have no correlation a. the line of best fit has a slope of zero b. a median-median line must be used to predict trends c. the line of best fit has a negative slope d. the points on a scatter plot appear to be random 10. The regression associated with a set of data a. is always linear b. is always quadratic c. may be linear or quadratic d. may be modelled with any type of function 11. If two variables have no correlation, their correlation coefficient would have a value of a. +1 c. 100 b. 1 d. 0 12. Which of the following statements is not true about variables having a correlation coefficient of 1? a. all data points lie on the line of best fit b. data points with larger x-values also have larger y-values c. there is a cause-effect relationship between the variables d. all of the residual values are zero 13. The purpose of the media is to a. give their personal opinions on events b. inform the public about events in an objective manner c. present data in a way that makes certain groups look favourable d. create false impressions and sway public opinion 14. Which of the following behaviours by the person conducting a survey will not result in biased results? a. The surveyor rewords questions for respondents who left questions blank in case they did not understand the question. b. The surveyor leaves the response to some questions blank if the respondent does not seem to understand the question. c. The surveyor fills in unanswered questions based on the responses to other questions. d. The interviewer suggests possible answers to open-ended questions. 15. Which of the following scenarios will not result in sampling bias? a. The regular meeting time of a new group is determined by people who come to a Monday afternoon meeting. b. American food preferences are determined by a random sample of California residents. c. Gas price fluctuations in a city are followed by taking a random sample of gas stations in the city each Friday for a year. d. none of the above 16. A grocery store wants to survey a large proportion of its customers. It leaves questionnaires in shopping bags and asks people to return them to the store. In order to encourage a large response rate, respondents will be entered into a draw for free groceries. What type of bias might exist by sampling shoppers this way? a. not biased c. non-response bias b. sampling bias d. response bias 3
Name: 17. An airline conducts customer satisfaction surveys by having its passengers complete questionnaires on its flights. In order to ensure that passengers have adequate time to complete the questionnaire, it is only given out on overseas flights. What type of bias might result? a. sampling bias c. both a and b b. non-response bias d. it is not biased 18. Which of the following is most true about mail-in surveys? a. sometimes biased b. never biased c. always biased d. not biased if a large sample is received that is a cross-section of the population 19. A researcher records the marital status and income of a sample of 1143 female executives. The number of different variables recorded is: a. 1143 b. three marital status, income, and number of female executives c. two marital status and income d. 3429 20. A sociologist at a Canadian university wants to study the attitudes of female university students towards careers. He interviews 100 of the female students enrolled in a first-year sociology course at his university. What is the sample in this situation? a. Canadian female university students b. the 100 female students interviewed c. the female students taking this course d. all Canadian women taking first-year sociology 21. When can the value of a quantitative variable be expressed as a number? a. never c. only if the variable is discrete b. only if the variable is continuous d. always 22. Each of the following variables affects the size of a book. Which variable can be continuous? a. number of pages c. number of words b. vertical space between lines d. type of binding used 23. Which of the following variables about a meal is qualitative? a. calories c. food groups represented b. number of vegetable servings d. preparation time 4
Name: 24. A survey of the driving habits for commuters asks the following questions: How many people travel to work or school each day in your primary vehicle? What distance do you commute to work or school? How many vehicles do you own? What did you pay in repairs last year? What is true about the variables measured? a. some are quantitative and some are qualitative b. all are continuous c. some are discrete and some are continuous d. all are qualitative Short Answer 25. A sample of high school students is interviewed to determine the most popular television show. Is the variable of interest quantitative or qualitative? 26. A pay equity researcher samples the number of employees of each gender in several employment categories at a number of large corporations. Is the variable of interest quantitative or qualitative? 27. Is the variable of interest in the following scenario qualitative or quantitative? A survey of automobile owners is conducted to determine the type of station where they last purchased gasoline. 28. Is the variable, number of accidents per month on several one-kilometre stretches of a highway, continuous or discrete?. 29. Determine the probability of drawing a red queen from a deck of cards. 30. A bag contains 4 red marbles, 3 blue marbles, 6 black marbles, and 2 yellow marbles. If a marble is drawn at random, determine the probability of not drawing a red marble. 31. A box contains balls with the numbers 1 to 40 on it. One ball is drawn randomly. The probability of the event :choosing a number divisible by 3 is to be determined. State the value of. 32. Two six-sided dice are rolled. What is the probability of rolling doubles? 33. The letters of the word MISSISSIPPI are put in a hat and one letter is drawn randomly. What is the probability that the letter S is selected? 5
Name: 34. According to the Venn diagram, what is the value of P( A B)? 35. If a card is drawn randomly from a regular deck of cards, determine the probability that it is red or a face card. 36. A card is drawn from a regular deck of cards and replaced. Then a second card is drawn. Determine the probability that a spade is drawn and then a face card is drawn. 37. A six-sided die is rolled and a card is drawn randomly from a regular deck of cards at the same time. Determine the probability of rolling an even number and drawing a black ace. 38. A bag contains 4 red marbles, 3 blue marbles, 6 black marbles, and 2 yellow marbles. If a marble is drawn at random, determine the probability of drawing a red marble. 39. A spinner is divided into 21 equal sectors, numbered 1 through 21. Determine the probability of spinning an even number. 40. Two six-sided dice are rolled. What is the probability of rolling a sum of seven? 41. Two six-sided dice are rolled. What is the probability of rolling a sum less than 4? 42. The letters of the word SIMILE are scrambled. Determine the probability that the word is spelled exactly backwards 43. The letters of the word SIMILE are scrambled. Determine the probability that the word is spelled starting with The Two Is. 44. The starting line up of a co-ed volleyball team must be made up of 3 males and 3 females. If the team has 10 females and 9 males to choose from, determine the probability that Emma, Mary, and Carolyn are selected for the line up. 45. A bag contains six blue marbles, seven red marbles, and four green marbles. If four marbles are drawn randomly without replacement, determine the probability that three are blue. 6
Name: 46. Three cards are drawn from a regular deck, one at a time, without replacement. Determine the probability that the order is a Queen, King and then a number 2, 4, 6, or 8. 47. Three die are rolled simultaneously. Determine the probability that a sum of 4 will be rolled. 48. A committee of 3 students is chosen from 6 music students and 5 drama students. Determine the probability that exactly 2 are drama students. 49. A committee of 3 students is chosen from 6 music students and 5 drama students. Determine the probability that exactly 2 are music students. 7
Practice Mastery Answer Section MULTIPLE CHOICE 1. ANS: C REF: Knowledge and Understanding OBJ: 1.1 Visual Displays of Data STA: DMV.01 TOP: The Power of Information 2. ANS: C REF: Knowledge and Understanding OBJ: 1.1 Visual Displays of Data STA: DMV.01 TOP: The Power of Information 3. ANS: B REF: Knowledge and Understanding OBJ: 1.1 Visual Displays of Data STA: DMV.01 TOP: The Power of Information 4. ANS: D REF: Knowledge and Understanding OBJ: 1.2 Conclusions and Issues STA: DMV.01 TOP: The Power of Information 5. ANS: B REF: Knowledge and Understanding OBJ: 1.2 Conclusions and Issues STA: ST5.02 TOP: The Power of Information 6. ANS: C REF: Knowledge and Understanding OBJ: 1.3 The Power of Visualizing Data STA: ST4.03 TOP: The Power of Information 7. ANS: B REF: Knowledge and Understanding OBJ: 1.3 The Power of Visualizing Data STA: ST4.03 TOP: The Power of Information 8. ANS: D REF: Knowledge and Understanding OBJ: 1.3 The Power of Visualizing Data STA: ST4.03 TOP: The Power of Information 9. ANS: D REF: Knowledge and Understanding OBJ: 1.3 The Power of Visualizing Data STA: ST4.03 TOP: The Power of Information 10. ANS: D REF: Knowledge and Understanding OBJ: 1.4 Trends Using Technology STA: STV.04 TOP: The Power of Information 11. ANS: D REF: Knowledge and Understanding OBJ: 1.4 Trends Using Technology STA: ST4.01 TOP: The Power of Information 12. ANS: C REF: Knowledge and Understanding OBJ: 1.4 Trends Using Technology STA: ST4.03 TOP: The Power of Information 13. ANS: B REF: Knowledge and Understanding OBJ: 1.5 The Power of Data - Media STA: ST5.01 TOP: The Power of Information 14. ANS: B REF: Knowledge and Understanding OBJ: 2.5 Avoiding Bias STA: ST1.02 TOP: In Search of Good Data 15. ANS: D REF: Knowledge and Understanding OBJ: 2.5 Avoiding Bias STA: ST1.02 TOP: In Search of Good Data 16. ANS: C REF: Knowledge and Understanding OBJ: 2.5 Avoiding Bias STA: ST1.02 TOP: In Search of Good Data 17. ANS: C REF: Knowledge and Understanding OBJ: 2.5 Avoiding Bias STA: ST1.02 ST1.03 TOP: In Search of Good Data 18. ANS: C REF: Knowledge and Understanding OBJ: 2.5 Avoiding Bias STA: ST1.02 ST1.03 TOP: In Search of Good Data 19. ANS: C REF: Knowledge and Understanding 1
20. ANS: B REF: Knowledge and Understanding 21. ANS: D REF: Knowledge and Understanding 22. ANS: B REF: Knowledge and Understanding 23. ANS: C REF: Knowledge and Understanding 24. ANS: C REF: Knowledge and Understanding SHORT ANSWER 25. ANS: The variable of interest is qualitative. REF: Knowledge and Understanding OBJ: 2.2 Characteristics of Data STA: STV.01 TOP: In Search of Good Data 26. ANS: The variable of interest is quantitative. REF: Knowledge and Understanding OBJ: 2.2 Characteristics of Data STA: STV.01 TOP: In Search of Good Data 27. ANS: The variable of interest is qualitative. REF: Knowledge and Understanding OBJ: 2.2 Characteristics of Data STA: STV.01 TOP: In Search of Good Data 28. ANS: The variable is discrete. REF: Knowledge and Understanding OBJ: 2.2 Characteristics of Data STA: STV.01 TOP: In Search of Good Data 29. ANS: 30. ANS: 2
31. ANS: is 13 32. ANS: 1 6 33. ANS: 34. ANS: 28/43 35. ANS: 36. ANS: 37. ANS: 1 52 38. ANS: 4/15 39. ANS: 10/21 40. ANS: 1/6 3
41. ANS: 1/12 42. ANS: 43. ANS: 24 / 360=1/15 44. ANS: 1/120 45. ANS: 220/2380=11/119 46. ANS: 256/132600=32/16575 47. ANS: 3/216=1/72 48. ANS: 60/165= 49. ANS: 75/165=5/11 4