Unit 3 - Data STUDY GUIDE - WORKSHEET #11

Size: px

Start display at page:

Download "Unit 3 - Data STUDY GUIDE - WORKSHEET #11"

Roy Lee
5 years ago
Views:

1 Class: Date: Unit 3 - Data STUDY GUIDE - WORKSHEET #11 1. (1 point) 8.5, 7.9, 8.4, 7.7, 8.5, 7.9, 8.9, 8.2 a. mean: 8.25 median: 8.1 mode: 8.5 range: 1.2 b. mean: 8.25 median: 8.1 modes: 7.9, 8.5 range: 1.3 c. mean: 8.25 median: 8.3 modes: 7.9, 8.5 range: 1.3 d. mean: 8.25 median: 8.3 modes: 7.9, 8.5 range: (1 point) Find the value of x that makes the mean the given number. 6, 12, 7, 4, 8, 3, x; mean=7 a. 2 b. 9 c. 6 d (1 point) Which intervals can be used to make a frequency table of the heights, in centimeters, of the plants growing in a classroom? 21, 5, 12, 15, 34, 26, 38, 2, 12, 10, 41, 27, 38, 40 a. 0-10, 11-20, 21-30, 31-40, b. 1-7, 8-14, 15-21, 22-28, 29-35, c. 1-10, 11-20, 21-30, d. 1-7, 7-14, 14-21, 21-28, 28-35, (1 point) The stem-and-leaf plot shows the number of hours per semester that students in a certain school club watch television. What is the fewest number of hours that were watched? Key: 34=34 a. 4 b. 30 c. 3 d (1 point) The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. a. Find the mean, median, and mode. b. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge? a. a. mean: 30.4 in. median: 22 in. mode: 18 in. b. The median is the most useful. b. a. mean: 22 in. median: 30.4 in. mode: 18 in. b. The median is the most useful. c. a. mean: 22 in. median: 30.4 in. mode: 18 in. b. The mean is the most useful. d. a. mean: 30.4 in. median: 22 in. mode: 18 in. b. The mean is the most useful. 1

2 6. (1 point) Louise wanted to compare the length of the last name of the students in Mr. Collin's Class to the length of the last name of the students in Mrs. Klein's Class. She recorded the name lengths for both classes. The results are shown below. Name Length Mr. Collin s Class Mrs. Klein s Class Which of the following is best supported by the data in the table? a. The most common name length is greater for Mr. Collin's class than for Mrs. Klein's class. b. At least half of the students in each class have 8 or more letters in their name. c. The median name length is greater for Mr. Collin's class than for Mrs. Klein's class. d. If each letter from each student's name is written on a file card and then the file cards are evenly distributed among all group members, then the students in Mrs. Klein's class will have more cards than the students in Mr. Collin's class. 7. (1 point) Three machines at a cheese factory cut the blocks of cheese before they are wrapped. The weights of the cheeses are checked afterwards. The table below shows the weights, in ounces, of the cheese blocks from the three machines. Cheese Machine A Machine B Machine C Which of the following is best supported by the data in the table? a. Machine B wastes the most cheese. b. Machine A is the most consistent. c. Machine C is the fastest. d. Machine C is the least consistent. 2

3 8. (1 point) Faith had 9 bags of paste mix for the craft show. She weighed the bags and found their weights (in ounces) to be 7, 10, 10, 10, 10, 15, 14, 5, and 9. Make a stem-and-leaf plot and then find the range, mean, median, and mode of their weights. 9. (1 point) Find the mean, the median, and the mode of the data in the stem-and-leaf plot below. a. 10. (1 point) Copy and complete the frequency table using the data. Heights of plants in inches: 4, 13, 12, 3, 5, 8, 11, 6, 8, 4 Interval Tally Frequency 3-5???????? 12-14?? b. c. none of these 11. (1 point) Maxine travels often for her job. The table below shows the miles she traveled during the last six months of 1999 and Which double line graph correctly matches the table? Year July Aug. Sept. Oct. Nov. Dec d. 3

4 12. (1 point) The table below shows the daily snowfall at a ski lodge for the first 10 days of January. Day Snowfall (inches) Leo wants to make a bar graph of the data. Which of the following would be the best units for the vertical axis? a. 0.1-unit intervals from 0 to 3 b. 1-unit intervals from 0 to 10 c. 0.1-unit intervals from 1 to 3 d. 0.2-unit intervals from 0.6 to (1 point) Which data set represents the stem-and-leaf plot below? Key:20 =20 a. 123, 126, 128, 130, 132, 136, 151, 154 b. 42, 72, 92, 33, 73, 103, 25, 35, 55 c. 123, 126, 128, 132, 136, 139, 151, 152, 154 d. 30, 60, 80, 20, 60, 90, 10, 20, 10, (1 point) Which intervals can be used to make a frequency table of the heights, in inches, of students in a class? 57, 56, 60, 71, 74, 58, 59, 67, 64, 63, 58, 59, 57, 55, 64, 65, 57, 61, 70, 73, 57, 58, 66 a , 61-65, 66-70, b , 60-65, 65-70, c , 60-64, 65-69, d , 61-65, 66-70, (1 point) The table shows the number of people in each age group at a sports camp. Which data display would be appropriate for the set of data? Age Group Number of People a. a double bar graph b. a bar graph c. a line graph d. a histogram 16. (1 point) Makea doublebar graphof thedata. Atsker Zoo Dexton Zoo Elephants 3 5 Giraffes 6 2 Monkeys 9 7 Tigers 8 4 4

Day Mon Tue Wed Thu Fri Value($1000) 64 62.5 66 68 63 She drew the following graph to represent the week's values. b. c. Why might this graph be considered to be misleading? a.

5 17. (1 point) Which graph best shows that there was an increase in the average temperature in a lake? a. 18. (1 point) An investor keeps daily track of the total value of her investments in the stock market. The table shows the values for each day of one week, to the nearest $500. Day Mon Tue Wed Thu Fri Value($1000) She drew the following graph to represent the week's values. b. c. Why might this graph be considered to be misleading? a. The vertical scale of the graph does not start at 0, so relative heights may appear visually distorted. b. The bar heights do not agree with the data. c. The distances between the graph lines do not all represent the same difference. d. The graph should be a line graph because time is involved. d. 19. (1 point) Is it more appropriate to make a double bar graph or a double line graph to display the number of boys and the number of girls in each class at school? Explain. 5

6 20. (1 point) The histogram shows the number of minutes students at Montrose Junior High typically spend on household chores each day. a. How many minutes are included in each interval? b. About how many students spend minutes on chores? c. Is the number of students who spend more than one half hour on chores greater than, equal to, or less than the number of students who spend less than one half hour on chores? 21. (1 point) The graphs show the number of new clients who signed up each month at Excelsior Realty. Explain why one or both of the graphs could be misleading. 6

7 Unit 3 - Data STUDY GUIDE - WORKSHEET #11 Answer Section 1. ANS: D 2. ANS: B 3. ANS: B 4. ANS: B 5. ANS: A 6. ANS: D 7. ANS: D 8. ANS: Key: 10=10 range = 10, mean = 10, median =10, and mode = ANS: mean = 26.46, median = 25, mode = ANS: Interval Tally Frequency ANS: B 12. ANS: A 13. ANS: C 14. ANS: C 15. ANS: D 1

8 16. ANS: 17. ANS: B 18. ANS: A 19. ANS: It is more appropriate to make a double bar graph, since the data will not show a trend over time. 20. ANS: a. 10 b. 9 c. greater than 21. ANS: The first graph is misleading. The scale on the horizontal axis distorts the relative lengths of the bars on the graph. 2

Lesson 5: Describing a Distribution Displayed in a Histogram

Lesson 5: Describing a Distribution Displayed in a Histogram Classwork Example 1: Relative Frequency Table In Lesson 4, we investigated the head circumferences that the boys and girls basketball teams collected. Below is the frequency table of the head circumferences