Study Island Copyright 2017 Edmentum - All rights reserved. Generation Date: 11/30/2017 Generated By: Charisa Reggie 1. The Little Shop of Sweets on the Corner sells ice cream, pastries, and hot cocoa. The following bar graph shows the average number of sales for ice cream, pastries, and hot cocoa for the past 5 years. Use the graph to predict which month will have the greatest number of sales overall. A. October B. July C. February D. January 2. In a large city, a civil engineer is examining traffic patterns. The engineer is looking at two different routes between the same two locations. The following line graph shows the average travel time on a weekday for these two routes for the previous year.
Using the graph, predict at which of the following times on a weekday that route 2 will be faster. A. 11 AM B. 7 PM C. 1 PM D. 10 AM 3. The graph below shows the amount of time Marcy spent studying over a 2-week period in October.
Which of the following statements would be an invalid conclusion for this data? A. Marcy spent a total of 525 minutes studying. B. Marcy earned good grades during this 2-week period. C. Marcy studied for an average of about 263 minutes per week. D. Marcy studied for an average of about 38 minutes per day. 4. The graph below shows the results of an analysis of a group of 18 male students. Height is measured in inches and self-esteem is measured by taking the average of the student's responses on a survey (where 1 means the lowest self-esteem and 10 means the highest self-esteem).
Which of the following is a valid conclusion based on the graph? A. As an individual's height decreases, self-esteem increases. B. As an individual's height increases, self-esteem increases. C. As an individual's height increases, self-esteem decreases. D. There is no relationship between an individual's height and self-esteem. 5. The graph below shows the potential for damage on a space shuttle. If the damage index is above 11, the shuttle should not fly.
Based on this graph, what recommendation should be made for a shuttle flight if the temperature is forecast to be below 0 Celsius? A. The shuttle should proceed with caution. B. The shuttle is ready for takeoff. C. The shuttle can fly if the temperature warms up 2. D. The shuttle should not fly. 6.
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? A. $1,500 B. $4,500 C. $1,000 D. $3,500 7. The school is conducting a survey to determine the relationship between the outside temperature and the number of students who eat lunch in the outside commons. The information is in the chart below. Temperature ( F) What is the mode of the number of students? A. 36 students B. 128 students Number of Students 60 36 61 85 67 373 60 138 75 128 70 373 93 236
C. 373 students D. 138 students 8. Bob tracked his spending for the previous year. The given circle graph shows his spending divided up into 7 categories. If Bob makes $77,300 per year, use the graph to predict the amount of money that he will spend on miscellaneous costs this year. A. $1,855.20 B. $18,552.00 C. $19,325.00 D. $1,932.50 9. Halle planted mint and basil seeds 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 to the nearest tenth in the mean growth per week for both herbs during the six weeks shown in the graph? A. 0.4 cm /week B. 0.5 cm /week C. 0.6 cm /week D. 2.5 cm /week 10. The following stem-and-leaf plot shows the height in inches of Mrs. Smith's first period Algebra class. What is the median height? A. 94 inches B. 85 inches C. 89 inches D. 93 inches 7 1 3 3 5 6 8 2 4 5 9 3 5 6 10 1 1 2 4 5 11. A catering service specializes in weddings, holiday parties, and company events. The following bar graph shows the average number of each type of event that they booked each month for the last 5 years.
Use the graph to predict in which month the service will book the greatest number of events overall this year. A. July B. June C. March D. May 12. 26, 17, 33, 12, 19, 15, 22, 8, 10 Which of the box-and-whisker plots below represents the data set above? W. X. Y. Z. A. X B. Z C. W
D. Y 13. Jeff has been saving money to send his son to college. He created the following line graph to track his progress. Use the graph to predict how many more years it will take him to save enough money to meet his goal of 65,000 dollars. A. 10 B. 9 C. 11 D. 8 14.
Annita sat outside the grocery store selling cookbooks. She kept track of how many cookbooks she sold over a seven day period. She added the number of books sold each day to the previous day and plotted her results on the line graph shown. When rounded to the nearest whole number, which of the following is closest to the mean number of cookbooks Annita sold each day? A. 23 B. 5 C. 7 D. 38 15. A travel agency made the following bar graph. The graph shows the average number of trips they booked to 3 different locations each month for the past 5 years.
Use the graph to predict in which of the following months the agency will book the least number of vacations overall. A. March B. April C. February D. May 16. The line plot below shows the number of hours each student in Ms. Smith's class exercise each week. What is the mean of the data in the graph? Each X represents one student. A. 3.4 hours B. 3.2 hours C. 2.4 hours D. 3.5 hours 17.
A travel agent made the given circle graph. The graph represents the typical vacation budget of clients to a particular destination for the previous year. If one of the agent's clients chooses to go to this destination this year, which category could they expect to be their second largest expenditure? A. Transportation B. Dining C. Entertainment D. Lodging 18. Mary measured the height of 16 tenth graders at a local high school. Below is a stem-and-leaf plot of her data, which is in inches. stem leaf 5 7 8 8 8 9 6 1 3 3 6 7 7 8 7 1 2 3 3 What is the mean of Mary's data rounded to the nearest tenth? A. 5.3 in B. 64.6 in C. 67.8 in D. 73 in 19. Dr. Mittag has created a chart of several patients' heights and weights, as shown below. Height (inches) Weight (pounds)
58 111 65 128 66 199 58 154 72 146 71 199 75 177 What is the median of the heights? A. 66 inches B. 58 inches C. 75 inches D. 16 inches 20. Tomas conducted a survey at several restaurants across town. The number of responses he received are represented by the box plot below. What percent of the data is above 13? A. 25% B. 75% C. 66% D. 50% 21. A local fundraiser collected donations in the following amounts: $25, $50, $100, $150, $200, and $250. Based on the table below, what is the mode of the donations collected? Donations Amount $25 $50 $100 $150 $200 $250
Number of People 56 26 16 7 5 2 A. $62.00 B. $100.00 C. $50.00 D. $25.00 22. The following stem-and-leaf plot shows the number of people that attended the preseason basketball games. 9 3 8 10 2 3 5 5 6 8 11 4 7 8 12 6 6 7 8 9 13 2 5 9 What is the mean of the data given above? A. 122.83 B. 116.37 C. 117 D. 126.37 23. 33, 40, 42, 33, 34, 38, 16, 24, 64, 64, 67, 68, 72, 25, 31, 52, 58 Which of the box-and-whisker plots below represents the data set above? W. X.
Y. Z. A. X B. W C. Y D. Z 24. Mr. Snowdon posted the final exam grades for Algebra II in the hallway as soon as the tests were graded. The data is represented on the box plot below. Which set of data below represents the interquartile range and the first quartile, in that order? A. 24, 64 B. 80, 84 C. 34, 72 D. 12, 72 25. 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 practices 5 hours per week next season, which is the best estimate of the number of competitions the band can expect to win? A. 36 B. 27 C. 31 D. 38 Answers 1. D 2. C 3. B 4. B 5. D 6. B 7. C 8. B 9. B
10. C 11. B 12. C 13. B 14. B 15. D 16. A 17. D 18. B 19. A 20. B 21. D 22. B 23. C 24. D 25. C Explanations 1. Sum the average number of sales for each month. Month Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec Ice Cream 100 50 500 700 800 900 950 900 500 100 50 50 Pastries 950 800 500 300 400 300 300 400 700 800 900 700 Hot Cocoa 9 9.5 1.5 0.5 0.5 0.5 0.5 0.5 3 8 9 10 Sum 1,950 1,800 1,150 1,050 1,250 1,250 1,300 1,350 1,500 1,700 1,850 1,750 Therefore, a reasonable prediction would be that the shop will have the greatest number of sales in January. 2. Using the given graph, it can be seen that route 2 will be faster at 1 PM. 3. She studied for 525 minutes over the 2-week period. Since 525 divided by 2 (for the 2 weeks) is about 263, she studied for an average of about 263 minutes per week. Since 535 divided by 14 (for the 14 days) is about 33, she studied for an average of about 33 minutes per day. The scatter plot does not include any information about her grades. Therefore, it would be an invalid conclusion to say that she earned good grades during this 2-week period. 4. The dots on this scatter plot have a pattern. As an individual's height increases, self-esteem increases as well. This shows a positive relationship between the two variables.
5. If a best-fit line is drawn on the scatter plot (a line that represents the average of the points on the plot), the line would be between 15 and 16 on the damage index axis at 0 C. Therefore, because an index score between 15 and 16 is greater than an index score of 11, the shuttle should not fly. 6. In May, there were about 4,500 dollars in sales. In June, there were 8,000 dollars in sales. In July, there were about 3,500 dollars in sales. In August, there were 6,000 dollars in sales. To find the range, subtract the smallest amount from the largest amount. Therefore, the range is $4,500. $8,000 - $3,500 = $4,500 7. The mode of a set of data is the element which appears the most. The value which appears the most for number of students is 373 students. Therefore, the mode of the number of students is 373 students. 8. Looking at the given graph, miscellaneous costs accounted for 24% of his budget for the previous year. Use this to predict what will be spent this year. 0.24 $77,300 = $18,552 Therefore, a reasonable prediction of his miscellaneous costs for this year is $18,552. 9. To find the mean growth per week, calculate how many centimeters the herb grew per week and then find the average of those measurements. First, list the points from the graph for basil. Week 0 1 2 3 4 5 6 Height 0 cm 3 cm 6 cm 8 cm 10 cm 13 cm 16 cm
Find the growth per week for the basil. Then add these numbers and divide by 6 to find the mean growth per week. 3 cm + 3 cm + 2 cm + 2 cm + 3 cm + 3 cm 6 weeks = 16 cm 6 weeks 2.7 cm /week Next, list the points from the graph for mint. Week 0 1 2 3 4 5 6 Height 0 cm 2 cm 3 cm 5 cm 8 cm 10 cm 13 cm Find the growth per week for the mint. Then add these numbers and divide by 6 to find the mean growth per week. 2 cm + 1 cm + 2 cm + 3 cm + 2 cm + 3 cm 6 weeks = 13 cm 6 weeks 2.2 cm /week Now, subtract the two mean growths per week to find the difference. 2.7 cm /week - 2.2 cm /week = 0.5 cm /week 10. In a stem-and-leaf plot, the leaf is always the last digit in the number (the ones place), and the stem is the entire number except the last digit (that is the tens place or the tens place and hundreds place). The median is the middle value in a data set. A stem-and-leaf plot is helpful in locating the median, because the values are organized in increasing order. In this case, there are 16 values in the data set, so the median value is the average value of the 8th and 9th numbers, which is 89 inches. 11. Sum the average number of events for each month. Month Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec Holiday 10 7 4 7 3 4 4 3 2 6 4 9 Wedding 2 3 2 9 8 9 7 9 10 2 1 1
Company Event 2 2 5 2 5 6 7 3 2 4 5 2 Sum 14 12 11 18 16 19 18 15 14 12 10 12 Therefore, a reasonable prediction is that the catering service will book the greatest number of events in June. 12. First, write the numbers in ascending order. Then, find the median of the set of numbers. 8, 10, 12, 15, 17, 19, 22, 26, 33 8, 10, 12, 15, 17, 19, 22, 26, 33 Next, find the median of the numbers below 17. Since there are 4 numbers, average the middle values. 8, 10, 12, 15, 17, 19, 22, 26, 33 Next, find the median of the numbers above 17. Since there are 4 numbers, average the middle values. 8, 10, 12, 15, 17, 19, 22, 26, 33 The extreme values are 8 and 33. Therefore, box plot W is the correct choice. 13. First, find out how much money he saved each year. Year Amount Saved 1 st $0 - $4,000 - $0 = $4,000 2 nd $8,000 - $4,000 = $4,000 3 rd $13,000 - $8,000 = $5,000
4 th $19,000 - $13,000 = $6,000 5 th $23,000 - $19,000 = $4,000 Next, calculate the average amount of money that Jeff is saving each year. Then, subtract the amount of money he currently has saved from his goal. $65,000 - $23,000 = $42,000 Finally, divide this by the average amount of money that the saves each year. Therefore, it will take about 9 years for Jeff to save the rest of the money. 14. To find the mean, divide the total number of cookbooks sold by the total number of days Annita sold cookbooks outside the grocery store. 38 7 = 5.4285714286 The answer that is closest to the mean when rounded to the nearest whole number is 5. So, Annita sold approximately 5 cookbooks each day. 15. Sum the average number of trips sold for each month. Month Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec Caribbean 6 7 5 5 3 2 2 2 6 6 7 8 Aspen 2 3 7 4 3 8 9 8 1 2 2 8 Las Vegas 10 9 5 4 3 1 1 1 3 4 8 9 Sum 18 19 17 13 9 11 12 11 10 12 17 25 Therefore, a reasonable prediction is that the agency will book the least number of vacations in May. 16. To find the mean, add each value and divide by 20.
Therefore, the mean of the data is 3.4 hours. 17. Look at the graph provided. The second largest percentage is 20%, which is attached to lodging category. Therefore, a reasonable prediction is that their second-largest expenditure is lodging category. 18. Find the mean of the given data. So, the mean of her data is 64.6 in. 19. The median of a set of data is the value in the middle. The middle height is 66 inches. Therefore, the median of the heights is 66 inches. 20. Quartiles separate a data set into 4 equal parts and each of the parts contains 1 /4 of the data. On the box-and-whisker plot, 13 is the first quartile, thus 75% of the data is above 13. 21. The mode is the value that occurs most in a data set. The mode in this case is $25, since more people donated this amount than any other amount. 22. In a stem-and-leaf plot, the leaf is always the last digit in the number (the ones place), and the stem is the entire number except the last digit (that is the tens place or the tens place and hundreds place). There are 19 numbers in this data set. To find the mean, add all of the numbers together and divide by 19. Once the answer is determined, round to the nearest hundredths place. 23. First, write the numbers in ascending order. 2,211 19 = 116.37 16, 24, 25, 31, 33, 33, 34, 38, 40, 42, 52, 58, 64, 64, 67, 68, 72 Then, find the median of the set of numbers. 16, 24, 25, 31, 33, 33, 34, 38, 40, 42, 52, 58, 64, 64, 67, 68, 72
Next, find the median of the numbers below 40. Since there are 8 numbers, average the middle values. 16, 24, 25, 31, 33, 33, 34, 38, 40, 42, 52, 58, 64, 64, 67, 68, 72 Next, find the median of the numbers above 40. Since there are 8 numbers, average the middle values. 16, 24, 25, 31, 33, 33, 34, 38, 40, 42, 52, 58, 64, 64, 67, 68, 72 The extreme values are 16 and 72. Therefore, box plot Y is the correct choice. 24. Quartiles separate a data set into 4 equal parts and each of the parts contains 1 /4 of the data. On the box-and-whisker plot, 72 is the first quartile. To determine the interquartile range of the data, subtract the first quartile, (72), from the third quartile (84). Therefore, the correct order of the data is 12, 72. 84-72 = 12 25. A best-fit line drawn on the scatter plot (a line that represents that average of the points on the plot) would cross the 5-hour rehearsal line at approximately 31 competitions won.