1.1 Constructing and Interpreting Visual Displays of Data Answers
1.1 Constructing and Interpreting Visual Displays of Data Answers
1.1 Constructing and Interpreting Visual Displays of Data Answers
Chapter 1
1.1 Exercises, page 11
1. (a) Each soccer ball represents 2 goals. (b) Jared: 14, Phil: 10, Beth: 8, Talia: 16 (c) Example: Sometimes you might have to use part of the symbol and then it is hard to tell the fraction of the symbol drawn. 2. (a) Each tick represents 3.5 students. (b) Have each tick represent a whole number, say 4 or 5. (c) about 542 3. (a)
Number of Hours 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Tally Frequency 2 6 9 1 5 0 2 0 0 0 1 Television Viewing 14 9 8 7 6 Frequency 5 4 3 2 1 0 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Frequency 12 10 8 6 4 2 0 2:30 3:00 3:30 4:00 4:30 5:00 5:30 Song Length (min:s) 5:005:29 2
6.
7. (a)
Class Interval 2:302:59 3:003:29 3:303:59 4:004:29 4:304:59 Frequency 1 4 8 14 5
(b) 93.3%
(c) You do not need to check every songs length. (d) histogram Length of Songs
(b)
8. (a)
Stem 1 2 3 4 5 6 7 8 9 10 11 12
Number of Hours/Day
(d) 3.1 h/day; Most students underestimated their television watching time. 4. (a) Label on the vertical axis. (b) Both display frequency of the data. (c) Histograms display frequencies for continuous intervals, while bar graphs show frequencies for each discrete horizontal-axis value. (d) When data are in intervals, not discrete. 5. (a) French Language 16.7%, English Fiction 27.8%, English Non-Fiction 44.4%, Reference 5.6%, Spanish Language 5.5% (b) French Language $20 875, English Fiction $34 750, English Non-Fiction $55 500, Reference $7000, Spanish Language $6875
(b) 16
(c) 40%
430 ANSWERS
9. (a)
Cat
Preferred Pet
(b) The student council should report that only 31 of the 85 students polled said they will not go. 12. (a) No, you do not know if those who enjoy mathematics are the ones who will complete university. (b) Combine the graphs and give proportions of level of enjoyment of mathematics within the level of education. 13. (a) Proportion of infant deaths has been decreasing since 1948. 14. (a) The temperatures at the South Pole have remained basically the same from 1957 to 1987. 15. (a) 83% of people answered less than 6 questions correctly; 55% answered less than 4 questions correctly. (c) The higher the level of education a person has, the greater their chance of answering a question correctly.
Dog
Bird
Fish
Iguana
(b) (c)
41 60 24
or 68%
= 80%; A lot more Grade 9 students have pets other than 30 cats and dogs. 10. (a) pie chart (b) bar graph (c) circle graph (d) bar or pie graph (e) bar graph 12. (a) (b) 315 Blood Types in Canada
2.5% 1.5% 7.5% 7% 1% 36%
0 38% A A+ O O+ B B+ 6%
50
100
150
200
250
(b)
AB AB+ 20 Mathematics in My School 18.2% Geometry and Discrete Math 44.2% AFIC Total Cost ($) 15
14. (a) Answers will vary; for example: AFIC: 80, Data Management: 68, Geometry: 33
10
10
20
30
40
50
Number of Photos
(b) Answers may vary. Circle graph is easier to compare. (c) More students are enrolled in AFIC than either of the other Grade 12 courses.
(c)
550
500 Average Speed (km/h) 450 400 350 0 100 200 300 400 500
Number of Seats
ANSWERS
431