1. 1 Lesson 5.3.3 Other Types of Graphs

2. 2 Lesson 5.3.3 Other Types of Graphs California Standards: Statistics, Data Analysis, and Probability 2.3 Analyze data displays and explain why the way in which the question was asked might have influenced the results obtained and why the way in which the results were displayed might have influenced the conclusions reached. What it means for you: You’ll see some of the information you can get from circle graphs and line graphs, and how these types of graphs can help you to compare two data sets. Key words: data set circle graph line graph compare

3. 3 Lesson 5.3.3 Other Types of Graphs You’ve now seen how to get information from line plots, bar graphs, and pictographs. In this Lesson, you’ll learn about a couple of other types of graphs that can show information in different ways.

4. 4 Circle Graphs Show Proportions Lesson 5.3.3 Other Types of Graphs Circle graphs divide data into different groups or categories. Circle graphs can show how different groups compare to each other, but they don’t always give detailed numerical information. The whole circle represents all the data in a data set.

5. 5 Example 1 Solution follows… Lesson 5.3.3 Other Types of Graphs Three students ran in the election for class president. This circle graph shows what proportion of the votes each candidate received. List the three candidates in order of the number of votes they received, from most to least. Solution The circle graph doesn’t tell you how many votes, or even what percent the students got. You can still tell that Taisha got the most votes, because her part of the circle is the largest. Solution continues…

6. 6 Example 1 Lesson 5.3.3 Other Types of Graphs Matt’s part of the circle is smallest, so he got the least votes. The result of the election was: 1st — Taisha 2nd — Cesar 3rd — Matt Three students ran in the election for class president. This circle graph shows what proportion of the votes each candidate received. List the three candidates in order of the number of votes they received, from most to least. Solution (continued)

7. 7 Guided Practice Solution follows… Lesson 5.3.3 Other Types of Graphs The students in a 6th grade class were asked which of three sports they like best. This circle graph shows the results of the survey. 1. Which sport was most popular with Class A? 2. Which sport was least popular with Class A? Basketball Baseball

8. 8 Guided Practice Solution follows… Lesson 5.3.3 Other Types of Graphs The students in a 6th grade class were asked which of three sports they like best. This circle graph shows the results of the survey. The same number of students in another 6th grade class were asked the same question. This circle graph was drawn using their answers. 3. Which class has more students who like baseball best? 4. Which class has more students who like basketball best? 5. Which class has more students who like football best? B A A

9. 9 A Line Graph Can Show Changes Over Time Lesson 5.3.3 Other Types of Graphs Line graphs show how two measures are related. They’re often used to show how a measure changes as time passes.

10. 10 Example 2 Solution follows… Lesson 5.3.3 Other Types of Graphs This line graph shows the monthly sales of winter coats from one store over a period of six months. What happened to the sales of winter coats from October to December? What happened to the sales of winter coats from December to March? Solution In October, 110 coats were sold. In December, 140 coats were sold. The sales of coats increased from October to December. Solution continues…

11. 11 Example 2 Lesson 5.3.3 Other Types of Graphs From December to March, the line on the graph slopes downward, because the sales of winter coats decreased during this period from 140 in December to 30 in March. You can tell this from the graph, because the line is sloping upward as you look from left to right. This line graph shows the monthly sales of winter coats from one store over a period of six months. What happened to the sales of winter coats from October to December? What happened to the sales of winter coats from December to March? Solution (continued)

12. 12 Guided Practice Solution follows… Lesson 5.3.3 Other Types of Graphs The line graph shows the temperature recorded by a weather station at several points during the same morning. 6. What was the temperature at 10 a.m.? 8. During which hours did the temperature fall? 7. At what time was the temperature 6 °C? 9 °C 6 a.m. 3–4 a.m. and 8–9 a.m.

13. 13 Guided Practice Solution follows… Lesson 5.3.3 Other Types of Graphs 9. What was the change in temperature between 7 a.m. and 8 a.m.? 10. Describe the overall change in temperature during the time period shown on the graph. No change The temperature increased during this time. The line graph shows the temperature recorded by a weather station at several points during the same morning.

14. 14 You Can Compare Two Data Sets on One Graph Lesson 5.3.3 Other Types of Graphs With a line graph, you can show information about two data sets at once. This makes the data easier to compare.

15. 15 Example 3 Solution follows… Lesson 5.3.3 Other Types of Graphs The line graph shows the annual sales in one store of two different products over a period of 6 years. Describe the information shown on the graph. Solution At the start of the period, the sales of product A were much higher than the sales of product B. If the pattern of sales shown here continued, you would expect sales of product B to overtake sales of product A in the next few years. By 2006, the sales figures for the two products were very similar. Over the 6 years, sales of product A decreased and sales of product B increased. Solution continues…

16. 16 Example 3 Lesson 5.3.3 Other Types of Graphs If the pattern of sales shown here continued, you would expect sales of product B to overtake sales of product A in the next few years. By 2006, the sales figures for the two products were very similar. The line graph shows the annual sales in one store of two different products over a period of 6 years. Describe the information shown on the graph. Solution (continued)

17. 17 Lesson 5.3.3 Other Types of Graphs You can show information about two data sets on other types of graphs. This double bar chart uses the same data as the line graph in Example 3. You could put the same information on a line plot or pictograph, using different colors or symbols for the different products.

18. 18 Guided Practice Solution follows… Lesson 5.3.3 Other Types of Graphs The line graph shows the annual sales in one store of two different products over a period of 6 years. 11. What was the difference in sales between product A and product B in 2005? 12. Which year had the greatest difference in sales between the two products? 1000 – 600 = 400 2002

19. 19 Guided Practice Solution follows… Lesson 5.3.3 Other Types of Graphs 13. In which years were sales of product B double what they had been the year before? 14. In which year were sales of product B the same as they had been the year before? 2002 and 2003 2004 The line graph shows the annual sales in one store of two different products over a period of 6 years.

20. 20 Other Types of Graphs Independent Practice Solution follows… Lesson 5.3.3 1. Which of the circle graphs below shows the same data set as the bar graph to the right? Explain your answer. A shows the same data set. D is wrong because it shows yellow, green, and blue the same size, which they aren’t on the bar graph. C is wrong because it has no green segment. B is wrong because it shows red, yellow, green, and blue the same size, which they aren’t on the bar graph.

21. 21 Other Types of Graphs Independent Practice Solution follows… Lesson 5.3.3 This circle graph shows results of a survey recording the number of hours worked in one week by a group of volunteers. 2. How many people worked for a total of 17 hours? 3. What is the lowest number of hours worked? 4. What is the highest number of hours worked? 5. What is the range of the data set? 6. What is the mode of the data set? None 12 h 25 h 13 h 16 h

22. 22 Other Types of Graphs Independent Practice Solution follows… Lesson 5.3.3 This graph shows how many customers bought frozen yogurt from a particular store during two different weeks. 7. How many people bought frozen yogurt on Thursday in week 1? 8. How many customers bought frozen yogurt on Friday in week 2? 9. How many customers in total bought frozen yogurt during the two weeks? 30 40 430

23. 23 Other Types of Graphs Independent Practice Solution follows… Lesson 5.3.3 10. What was the range of sales in week 1? 11. What was the range of sales in week 2? 12. In one of the two weeks, the weather started out cool, but got warmer by the end of the week. Which week do you think that was? Explain your answer. 40 35 Week 2. Sales increased in that week, and you would expect the store to sell more frozen yogurt when the weather is warmer. This graph shows how many customers bought frozen yogurt from a particular store during two different weeks.

24. 24 Other Types of Graphs Lesson 5.3.3 Round Up You should now have an idea of the kind of information you can read or display using different types of graphs. Later in this Chapter, you’ll see how the way a graph is drawn can affect what people think when they see it.