Math 7 /Unit 07 Practice Test: Collecting, Displaying and Analyzing Data

Transcription

1 Math 7 /Unit 07 Practice Test: Collecting, Displaying and Analyzing Data Name: Date: Define the terms below and give an example. 1. mode 2. range 3. median 4. mean 5. Which data display would be used to compare frequencies of ages of students enrolled in a soccer club? The students will fall into equal intervals. A box-and-whisker plot B histogram C line plot D stem-and-leaf plot 6. Which data display would be used to show the temperature recorded each hour in a day? A box-and-whisker plot B circle graph C line graph D stem-and-leaf plot 7. When a data set contains an extreme value, or outlier, which of the following is affected the most? A mass B mean C median D mode Math 7 Practice Test Unit 07: Collecting, Displaying, and Analyzing Data Page 1 of 9

2 8. (CRT) The stem-and-leaf plot to the right, shows the scores of 25 students on a 50 point project. What percent of the students earned a score that was less than 40? A 12% B 24% C 48% D 52% 9. (CRT) Refer to the stem-and-leaf plot in problem 8. What is the mode of the project scores? A 35 B 39 C 40 D 42 Student s Project Scores Stems Leaves Key: 3 1 = (CRT) The pictograph below shows the number of tickets that were sold for 3 school dances. Dance Fall Winter Spring DANCE TICKETS SOLD Number of Tickets Sold Key = 50 tickets How many tickets were sold for the winter dance? A 100 B 125 C 150 D A news magazine asked 1,000 people to judge the Governor s performance in office as poor, fair, good or excellent. The results are displayed in the graph. How many people in the pool rated the Governor s performance as good or excellent? A 140 B 250 C 390 D 500 Math 7 Practice Test Unit 07: Collecting, Displaying, and Analyzing Data Page 2 of 9

3 12. The Smith Family has the following budget: Housing 40% Food 25% Utilities 20% Clothing 10% Other 5% Which circle graph best represents this data? A B C D 13. Use the information given in problem #12 above. If the Smith s earn $4,000 a month, how much do they spend on utilities each month? Show your work. 14. (CRT) The table to the right shows the strength of a hurricane and how it s strength changed over time. Based on this information, which is the best prediction of the wind speed for November 6? A 100 mi/h B 90 mi/h C 60 mi/h D 20 mi/h Date (1994) November 1 November 2 November 3 November 4 November 5 Wind Speed 80 mi/h 120 mi/h 140 mi/h 110 mi/h 90 mi/h Math 7 Practice Test Unit 07: Collecting, Displaying, and Analyzing Data Page 3 of 9

4 15. The table below shows the number of boys and the number of girls in seventh grade at a school in the years 1990, 1995, 2000, and Boys and Girls in Seventh Grade Year Boys Girls Create a double bar graph below to show the information in the table. 16. Using the stem-and-leaf plot to the right, find the median and the range. Stems Leaves Key: 4 0 = 40 Math 7 Practice Test Unit 07: Collecting, Displaying, and Analyzing Data Page 4 of 9

5 Use the scatter plot Grades and TV Watching for problems #18 and # Write positive correlation, negative correlation, or no correlation to describe the relationship. Explain your thinking. 18. Based on the data in the scatter plot, what conclusion can you make about the relationship between grades and TV viewing? Use the scatter plot Bird Watching for problems #20 and # (CRT) Mark decided to count the number of birds in his backyard every half hour, for 10 hours. He missed the count at hours 3, 6 and 9. However, his sister told him that during one of those missed time slots she counted 30 birds. During which of the hours does it seem most likely she counted the birds? Explain your thinking. 20. (CRT) Mark proposed using the data he recorded for hours 1 through 10 to predict the next 10 hours. Explain why using this data could lead to a prediction that is NOT accurate. Math 7 Practice Test Unit 07: Collecting, Displaying, and Analyzing Data Page 5 of 9

6 21. The average class size for 15 schools is given. Make a cumulative frequency table for the data. Average Class Size Use this figure for questions #23 and # a) What is the median? < > b) What is the lower extreme (least value)? c) What is the upper quartile? d) What is the range of the data? 23. a) What percent of the data lies in the box? b) What is the interquartile range? c) Describe the spread of the data around the median. Math 7 Practice Test Unit 07: Collecting, Displaying, and Analyzing Data Page 6 of 9

7 24. Explain why the graph Candy Preference is misleading. 25. Which circle graph is the best representation of the information in the given bar graph? A B C D Math 7 Practice Test Unit 07: Collecting, Displaying, and Analyzing Data Page 7 of 9

8 26. (CRT) Refer back to the bar graph in problem #26. Which is the closest approximation of the mean of the number of boxes of cookies that were sold during the four days? A 300 B 400 C 500 D (CRT) Refer back to the bar graph in problem #26. Based on the graph, the number of boxes of cookies that were sold each day. A continually decreased B continually increased C decreased then increased D increased then decreased 28. (CRT) Lionel wanted to record the effect of adding fertilizer to tomato plants. He measured the heights of the tomato plants, fertilized them, and then measured the plants again after one week. The histograms below show the results of his measurements. a) Describe how the median of the heights of the tomato plants changed between the first measurement day and the second measurement day. b) Describe how the range of the heights of the tomato plants changed between the first measurement day and the second measurement day. Math 7 Practice Test Unit 07: Collecting, Displaying, and Analyzing Data Page 8 of 9

9 c) Explain what the change in the range of the heights of the tomato plants from the first measurement day to the second measurement day tells you about the growth of the tomato plant. Long Term Memory Review 29. (CRT) Mr. Jones opens a bank account with $30,000. The account earns 2% simple interest per year. Mr. Jones does not make any additional deposits or withdraw any money from the account for 2 years. What is the total amount of money in the account after 2 years? A $30,600 B $30,120 C $31,200 D $36, (CRT) A proportion is shown below = 7 p What value of p makes the proportion true? A 20 7 B 17 2 C 35 D (CRT) Look at the input/output table below. Input Output ? What would be the output value when the input value is 8? A 26 B 27 C 31 D 36 Math 7 Practice Test Unit 07: Collecting, Displaying, and Analyzing Data Page 9 of 9