Presentation on theme: "Chapter 1 Representing Data"— Presentation transcript:
1 Chapter 1 Representing Data 1.1 Advantages and Disadvantages of Different Graphs1.2 Misrepresenting Data1.3 Critiquing Data PresentationKEY WORDSInterval (1.1)- Bar graph(1.1)-
2 Line Graph (1. 1)- Circle Graph (1. 1)- Double Bar Graph (1 Line Graph (1.1)- Circle Graph (1.1)- Double Bar Graph (1.1)- Double Line Graph (1.1)- Pictograph (1.1)- Trend (1.1 p.14)- Distort (1.2)-
3 1.1 Advantages and Disadvantages of Different Graphs p.6 Objectives:Students will be able to :•
4 1.1 Examples Example 1: Compare Two Graphs During one weekend, the owners ofPascal’s Pizzeria recorded how theyreceived pizza orders and then presentedthe data using a circle graph and a pictograph.How many more pizzas were ordered byphone than on the internet? Which graphshows this more clearly? ExplainAlmost half of the total number of orders came by phone. What graph shows this more clearly? Explain.
5 Which graph better shows the number of pizzas ordered by Internet Which graph better shows the number of pizzas ordered by Internet? Justify your choice.Would a line graph be a useful way to display the data? Explain why or why not.What other type of graph could be used to display the data?
6 Example 2: Representing Data During the hockey season, the Edmonton Oilers advanced to the Stanley Cup finals. In regular season play, two of their top three players were Shawn Horcoff (born in Trail, BC) and Jarret Stoll (born in Melville, SK) Here are the statistics for their previous three regular seasons with the Oilers.Horcoff (Centre)SeasonGames PlayedGoalsAssistsTotal Points178122133280152540379225173Stoll (Centre)SeasonGames PlayedGoalsAssistsTotal Points142681011213822246Use a double bargraph to displaythe data
7 b) Which player showsthe most improvementin total points?c) Total points are used toassess a player’s worth.Take a look at the numberof games Horcoff and Stollplayed. Is this a fair way toassess a player’s worth?d) Would two circle graphs be effective to display the data? Explain
8 1.1 KEY IDEASData can be presented using bar graphs, double bar graphs, circle graphs, line graphs, and pictographs.Different graphs may provide different information and display certain types of data better.____________ are best for comparing data that________ graphsare best forcan be easily countedcomparing dataand represented usingacross categories.symbols.____________ graphs are best for comparing________ graphs are best for comparing categoriestwo sets ofto the whole usingdata acrosspercents. The sum ofcategories.the percents in a________ graph is_______.___________ graphs are best for showing changes in data over time
9 1.2 Misrepresenting Data p.18 Objectives:Students will be able to :•
10 1.2 Examples Example 1: Distorting the Scale Matthew’s Math test scores are displayed on the bar graph.According to the graph, what didMatthew receive on each test?From the graph, what appears to betrue about Matthew’s improvementover the four test scores? What part ofthe graph has been distorted to createthis impression?How should the graph be drawn to represent Matthews progress more accurately?What would be a more accurateconclusion about his improvement?
11 Example 2: Distorting the Visuals From the pictograph, which petseems to be the favourite?Explain.From the pictograph, does it seem that more students like cats or dogs? Explain.How should the pictograph be redrawn to represent the data more accurately?
12 Example 3: Distorting the Size of the Bars From Graph A, how many times more sales are there of desktops than laptops? Is this an accurate representation? Explain.From Graph B, how many times more sales are there of desktops than laptops? How could Graph B be misleading?
13 1.2 Key IdeasMisleading graphs can cause people to misinterpret the data and draw ________ conclusions.The format of a graph can be misleading. Misleading features include:- Distorting the ____________ - Distorting the information by using ___________ of different __________.
14 1.3 Critiquing Data Presentation p.28 Objectives:Students will be able to :•
15 Example 1: Critiquing a Graph 1.3 ExamplesExample 1: Critiquing a GraphBindi recorded the scores for two grade 8 classes that wrote the same test.She decided to display the data on two circle graphs.a) Why do you think Bindi used two circle graphs to display the data?
16 b) Are the graphs misleading? c) State two conclusions that you can make based on the graphs.d) Draw a double bar graphto display the data.e) List the advantages anddisadvantages of using adouble bar graph to displaythe data.
17 1.3 KEY IDEASWhen critiquing a graph, it is important to consider sever factors:Graph __________: Is the graph the best choice for displaying the data?Graph __________: Is the graph designed in a way that represents the data accurately?Graph _______________: Is the graph informative? Does the graph support a claim or an argument?