Data Displays and Analysis 1. stem leaf 900 3 3 4 5 7 9 901 1 1 1 2 4 5 6 7 8 8 8 9 9 902 1 3 3 3 4 6 8 9 9 903 1 2 2 3 3 3 4 7 8 9 904 1 1 2 4 5 6 8 8 What is the range of the data shown in the stem-and-leaf plot above? 38 48 45 5 3. Measures of Dispersion & Central 2. What is the median of the following set of numbers? 113, 183, 195, 129, 235, 151, 164, 143, 211, 213 173.5 183 173 164 An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the sum of the dots is 6 or 9? Measures of Dispersion & Central 4. What is the mode of the following set of numbers? 58.1 86.715 142 96 58.1, 96, 46, 58.1, 96, 101.52, 96, 142, 46, 142
Measures of Dispersion & Central 5. What is the lower quartile, Q 1, of the following data set? 35 41 51 53 41, 41, 35, 47, 47, 55, 30, 54, 35, 52, 41, 27, 37, 45, 28 Data Displays and Analysis 6. Halle planted mint and basil plants in her herb garden. She measured the height of each herb plant at the end of each week for six weeks. The results are shown in the line graph below. What is the difference in the ranges for both herbs during the six weeks shown in the graph? 3 cm 4 cm 7 cm 5 cm Data Displays and Analysis 7. A company made a bar graph showing the amount of sales for each month in thousands of dollars. Which of the following is closest to the range of sales for the four-month period? $3,000 $3,500 $6,500 $1,500
Measures of Dispersion & Central 8. What is the mean of the following set of numbers? [Round the answer to the hundredths place if needed.] 10, 1.55, 6, 4.73, 7, 26, 8.43, 20 9. June is making a necklace for her friend out of beads. There is a one jar containing 1 blue bead and 5 green beads, and another jar containing 1 yellow bead and 3 brown beads. If she reaches in without looking and draws a bead from each jar, what is the probability that she will draw one blue bead and one yellow bead? 11.96 10.46 26 10 Data Displays and Analysis 10. The line plot below shows the number of hours each person in Mr. Finley's class studied for an exam. What is the median of the data in the graph? 5 hours 3.5 hours 3 hours 4 hours Each X represents one student. 11. An experiment is broken up into two parts. In the first part of the experiment a penny is tossed in the air. If the coin lands on heads, then the coin is flipped a second time. If the coin lands on tails, then a sixsided die is rolled. What is the probability of getting two heads?
Best-Fit Lines 12. Which scatterplot most likely has a line of best fit represented by y = -2x + 1? W. X. Y. Z.
Best-Fit Lines 13. The table above lists the midterm and final examination scores for 10 students in an Algebra course. The graph below shows a line of best fit for the data. What is the equation of the line of best fit? 14. Gretta is rolling a die and pulling a marble from a bag. There are 4 white marbles, 3 blue marbles, and 4 green marbles, all of the same size, in the bag. What is the probability that she rolls a 4 and she pulls a blue marble from the bag?
Data Displays and Analysis 15. A group of band instructors answered a survey about hours of rehearsal per week and number of competitions won. The graph shows the results of this survey. Based on these results, if a band instructor wants to win at least 24 competitions, his or her band should rehearse at least how many hours per week? 3.5 5 4 4.5 16. There are two jars. One jar contains 2 red gumballs, 3 green gumballs, and 1 yellow gumball. The other jar contains 2 blue balloons and 3 purple balloons. Jeff randomly draws one gumball and then one balloon. What is the probability that he will draw a green gumball and a purple balloon? Data Displays and Analysis 17. The following stem-and-leaf plot shows the height in inches of Mrs. Smith's first period Algebra class. 7 1 3 3 5 6 8 2 4 5 9 3 5 6 10 1 1 2 4 5 What is the median height? 94 inches 85 inches 89 inches 93 inches
18. Katie is trick or treating. The man answering the door holds out two bags. In one bag, there are 3 bars of dark chocolate and 1 bar of white chocolate. In the other bag, there are 3 pieces of strawberry licorice, 1 piece of cherry licorice, and 1 piece of orange licorice. If Katie gets to randomly draw one piece of candy from each bag, what is the probability that she will get a bar of white chocolate and a piece of strawberry licorice? Measures of Dispersion & Central 19. What is the interquartile range of the set of data given below? 31 29.5 47 25 67, 53, 87, 94, 90, 72, 78, 81, 56, 47, 62, 67, 90 Best-Fit Lines 20. Which of the following equations represents the line that is drawn above? y = -0.72x + 1.4 y = 0.72x + 1.4 y = -0.72x - 1.4 y = 0.72x - 1.4
Data Displays and Analysis 21. The graph below shows the relationship between a team's salary and their winning percentage in a professional sports league. Which of the following is a valid conclusion based on the graph? As a team's salary increases, its winning percentage increases. As a team's salary increases, its winning percentage decreases. There is no relationship between a team's salary and its winning percentage. As a team's salary decreases, its winning percentage increases. Best-Fit Lines 22. Mrs. Moises, the school counselor, keeps a candy jar in her office for students. During one week, she kept count of how many students came to visit her and the number of candies in the jar, as shown in the scatter plot below. Based on the trend line, what is the best prediction for the number of candies in the jar when 30 students visit her? 90 150 135 180
Measures of Dispersion & Central 23. What is the upper quartile, Q 3, of the following data set? 44, 41, 37, 48, 51, 58, 35, 56, 40, 53, 47, 30, 40, 48, 32 Best-Fit Lines 51 54 52 55 24. A teacher made the following graph showing the number of hours that a student studied for an exam versus their exam grade. Predict the grade of a student if they studied for 3 hours. 80 90 85 70 Best-Fit Lines 25. Christina graphed how long it took a cube of ice to melt at certain temperatures. What is the equation of the line of best fit above?
Best-Fit Lines 26. Looking at the graph above showing a line of best fit, what is the correlation between the x and y variables? y is constant y decreases as x decreases y decreases as x increases y increases as x increases Measures of Dispersion & Central 27. Every year the county fair holds a grape-eating contest. The numbers of grapes eaten by thirteen contestants in 30 seconds are listed below. What is the interquartile range of the set of data? 28 44 26 24 65, 51, 85, 89, 88, 69, 73, 79, 57, 45, 61, 65, 85 Best-Fit Lines 28. The graph above shows a line of best fit for data collected on the amounts of cell phone bills in relation to the number of minutes used. What is the equation of the line of best fit?
29. In a group of 294 students, 130 are seniors and 121 are males. Exactly onehalf of seniors are females. If a student is randomly selected, what is the probability that the student is a senior or a female? Data Displays and Analysis 30. Margaret sold candles for a fundraiser for school. The number she sold per day over a three-week period are represented by the box plot below. E. What is the interquartile range of her data? 19 15 23 8 Best-Fit Lines 31. The graph below shows a line of best fit for data collected on the number of medium pizzas sold at local pizza shops and the amount of money earned in sales. Based on the line of best fit, how many pizzas were sold if $390.00 was earned in sales? 240 180 60 120 32. In an experiment a six-sided die is rolled a number of times. The results are shown below. Based on these results, what is the experimental probability of rolling either a 5 or 6? 11 / 34 5 / 17 2 / 17 10 / 27 Number Rolled Number of Times Rolled 1 7 2 8 3 3 4 6 5 4 6 6 Student Test Scores
Measures of Dispersion & Central 33. Mike, Shannon, Layla, and Rachel each recorded the grades they received on five tests in their math class in the table below. What is the range of Shannon's scores? 8 27 12 13 34. Brandon is rolling two six-sided dice. What is the probability that one die lands on an even number and the other die lands on an odd number? Test 1 Test 2 Test 3 Test 4 Test 5 Mike 80 70 67 90 72 Shannon 92 80 79 84 88 Layla 80 86 85 78 79 Rachel 98 76 71 77 81 Measures of Dispersion & Central 36. What is the median of the following set of numbers? 55.5, 52, 57.5, 54, 52, 52.5, 50.5, 60.5, 56 37. Kayla has a standard deck of 52 cards and a six-sided die. What is the probability that she will pull a diamond from the deck of cards and roll a 3? 55.5 57.5 54 50.5
Best-Fit Lines 38. The graph above shows a line of best fit for data collected on the amount earned by waiters and waitresses last week in relation to the number of tables they served. What is the equation of the line of best fit? Measures of Dispersion & Central 39. What is the range of the following set of numbers? 44 10.6 49.41 9.6 41.81, 41.11, 47.41, 49.41, 45.11, 43.11, 40.81, 48.41, 38.81
Data Displays and Analysis 40. Which of the box-and-whisker plots below represents the data set above? 7, 11, 25, 29, 33, 6, 13, 24, 18