Borck Test 2 (tborck2)

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1 Name: Date: 1. What is the median of the numbers? Jamie rolls two six-sided number cubes. What is the probability that the sum of the numbers on the cube faces will be greater than or equal to 7? 3. Marissa has a collection of the new quarters that commemorate the 50 states. There are 9 Georgia quarters, 8 Virginia quarters, and 7 Connecticut quarters. If Marissa randomly chooses one of these quarters, what is the probability it will be a Georgia quarter? 1

2 4. The probability that a customer will bring 1, 2, 3, 4, 5, or 6 items to the express lane in a grocery store is shown in the chart below. What is the probability that a customer will bring less than 5 items to the express lane? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 5. Travis is rolling a fair number cube with faces numbered 1 through 6. What is the probability that the result on his next roll will be an odd number? 1 out of 6 2 out of 6 3 out of 6 6 out of 6 This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 2

3 6. Shelley is registering at a hotel that has 14 rooms available on the first floor, 10 rooms available on the second floor, and 16 rooms available on the third floor. If Shelley is assigned one of these hotel rooms at random, what is the probability that it will be on the second floor? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 7. The line plot below shows the number of people in each student's household for a class of students. What is the mean number of people in households for this class of students? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 3

4 8. Kyra will toss a number cube that has faces numbered 1 through 6. What is the probability that the cube will land with an even number showing on the top face? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 9. Jiro bowled 7 games in a tournament. The list below shows his scores for those 7 games. What is the mode of Jiro's scores? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 10. Sina's goal is to exercise a mean of 45 minutes per day for one week. For the first 6 days of the week, she exercised 35, 40, 37, 42, 45, and 50 minutes. What is the number of minutes Sina must exercise on the 7th day of the week to reach her goal exactly? 21 minutes 42 minutes 49 minutes 66 minutes This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 4

5 11. The table below shows the average depth of each of the five deepest oceans and seas in the world. What is the median depth of these five oceans and seas? 13,215 feet 13,002 feet 12,880 feet 10,650 feet This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 12. In Mr. Montgomery's class, there are 8 boys and 12 girls. If Mr. Montgomery selects 1 student from his class at random, what is the probability that the student will be a girl? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 5

6 13. Jennifer put 4 red checkers and 10 black checkers into an empty paper bag. Without looking, she picked one of the checkers from the bag. What is the probability that the checker she picked was red? Borck Test 2 (tborck2) 14. The weather forecast predicts a 50% chance of rain today and a 20% chance of rain tomorrow. What is the probability that it will rain today but NOT tomorrow? 70% 50% 40% 10% 15. The door of Mr. Smith's garage has 400 square feet of surface area. Twenty-five square feet of the door is glass. During a neighborhood baseball game, a ball is thrown wildly and hits the garage door. What is the probability that the ball hit a window? 1:4 1:16 1:25 1: In the school band there are 15 sophomores, 25 juniors, and 40 seniors. What is the probability that the band director will randomly select a junior to keep the attendance records for the weekly practices? 1:25 1:3 5:16 5:8 17. What is the mode of the following set of numbers: 2, 3, 3, 6, 4, 5, 3, 4, 7, and 3?

7 18. The test scores for Mrs. Jones's class were as follows: 90, 85, 66, 100, 82, 95, 80, 70, 90, 90, 84, 94, 78, 90, 50, 60, 80, 65. What is the range of the data? Alice has scored 92, 72, and 79 on the last three mathematics tests. What is the average (mean) of these three test scores? The soccer team scored 3 goals in its first game, 7 goals in the next game, and 2 goals in the last game. Which was the average (mean) number of goals the team scored per game? The soccer team scored 3 goals in each of their first two games, 7 goals in the next game, and 2 goals in each of the last four games. What was the average (mean) number of goals the team scored per game? Betsy's spelling test scores were 65, 80, 85, 70, and 70. What is her average (mean) score in spelling? There are one yellow ball, two green balls, three red balls, and four blue balls in a box. If you closed your eyes and picked a ball, what color would most likely be picked? yellow green red blue Borck Test 2 (tborck2) 7

8 24. A jar has 25 green grapes and 75 purple grapes. What is the probability that a purple grape will be chosen at random? Borck Test 2 (tborck2) 25. There is a box that contains one yellow pencil, two green pencils, three red pencils, and four blue pencils. If you picked one pencil out of the box without looking, which color would most likely be picked? blue green yellow red 26. Which is the mean number of hours the students study per week as shown in the chart? At a basketball game, 12 out of the first 40 people who enter the gym are wearing hats. If this sample is representative of the 250 people attending the game, about how many of them will probably be wearing hats? 65 people 70 people 75 people 80 people 8

9 28. At Chesak Elementary School, 2 out of 3 students have brown eyes. Approximately how many students have brown eyes if the building has 432 students? 144 students 216 students 288 students 324 students 29. Jan has a cookie jar that contains five peanut butter cookies, eight chocolate chip cookies, and twelve oatmeal raisin cookies. Jan reaches in and grabs a cookie, what is the probability that she will get a chocolate chip cookie? 30. What is the approximate median number of orange Skittles in a bag?

10 31. The five number summary for a set of data is shown. min: 1 Q1: 5 Q2: 24 Q3: 37 max: 45 What is the interquartile range for this set of data? Vicki measured the length of 8 leaves. The lengths were 10 cm, 12 cm, 15 cm, 15 cm, 19 cm, 11 cm, 18 cm, and 15 cm. What is the interquartile range of Vicki's data? What is the median weight of the computer boxes?

11 34. Which type of sampling is best for selecting a representative sample? Stratified Cluster Random Systematic 35. A study was conducted to determine the effectiveness of a speed limit sign. The speeds of cars at the 65 mph sign were: Which box-and-whisker plot correctly displays the information? 11

12 36. What is the mean height of the players in the starting lineup of the Alton Tigers? 67.4 in in. 72 in. 74 in. 37. These are the sides of a number cube used in a game. Sam will win the game he is playing if he gets a number less than 3 the next time he rolls the number cube. What is the probability that Sam will win the game on his next roll? 12

13 38. Darrell had biology test scores of 76, 78, 76, 82, 62, and 100. For this data, which measure is greatest? Mean Median Mode Range 39. Sally recorded her daily grades for one grading period. 88, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 92 What was her mean grade?

14 40. The chart below shows the ages in years of the girls on two Olympic teams. What is the difference in the median ages of the two teams? 0 yrs 1 yrs 2 yrs 3 yrs 41. Mr. Rampell gave 9 students a makeup exam. The scores were 79, 68, 100, 79, 84, 92, 68, 100, and 68. What was the mode of these scores?

15 42. Which diagram shows all the possible combinations of 1 shirt, 1 pair of shorts, and 1 kind of shoes? 43. In a bag of candies there are 13 red candies, 13 green candies, 13 yellow candies, and 13 blue candies. If you choose 1 candy from the bag, what is the probability the candy will not be blue? 15

16 44. {5, 6, 6, 8, 9, 10} For the data set shown, which measure is the greatest? Mean Median Mode Range 45. Tommy and Jeremy are pitchers for the baseball team and are being evaluated by the coach. The speeds in miles per hour of each of their practice pitches are shown below. Which of the following statements is true regarding their performances? Tommy has a lower mean speed. Tommy has a greater range of speeds. Tommy has a lower median speed. Jeremy's median speed is higher than Tommy's mean speed. 16

17 46. The table below shows the number of boxes of cookies sold by members of two softball teams, the Hawks and the Tigers. What is the difference in the mean number of cookies sold by the two teams? , 79, 75, 77, 74 For the data listed, the value 76.2 represents the median mode range mean 17

18 48. Mark has a basket of 40 yellow tennis balls and 35 white tennis balls. What is the probability that the next tennis ball he randomly chooses will be yellow? 49. {5, 6, 6, 8, 9, 10} For the data set shown, which measure is the greatest? Mean Median Mode Range 18

19 Answer Key 1. B) D) 3. B) 4. C) C) 3 out of 6 6. A) 7. C) 4 8. D) 9. D) D) 66 minutes 11. C) 12,880 feet 12. B) 13. C) 14. C) 40% 15. B) 1: C) 5: A) D) 50 19

20 19. C) A) B) C) D) blue 24. C) 25. A) blue 26. C) C) 75 people 28. C) 288 students 29. B) 30. C) C) D) C) C) Random 35. A) 36. B) 68.8 in. 37. B) 38. A) Mean 39. C) A) 0 yrs 20

21 41. D) C) 43. D) 44. A) Mean 45. B) Tommy has a greater range of speeds. 46. A) D) mean 48. C) 49. A) Mean 21

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