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Representing Data. Chapter 1. VOCABULARY. Bar Graph – uses horizontal or vertical bars to represent data Line Graph – uses a line to show changes in data over time. Circle Graph – represents data using sections of a circle; sum of the circle adds up to 100% Pictograph –
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Representing Data Chapter 1
VOCABULARY • Bar Graph – uses horizontal or vertical bars to represent data • Line Graph – uses a line to show changes in data over time
Circle Graph – represents data using sections of a circle; sum of the circle adds up to 100% • Pictograph – shows data using pictures/symbols
Double Bar Graph – compares two sets of data across categories using vertical or horizontal bars • Double Line Graph – uses two lines to represent changes in two sets of data over time
CONTINUED • Interval/Range – The spread between the smallest and the largest numbers in a range of numbers. (i. e. 0, 5, 10, 15, 20 . . . or 0, 2, 4, 6 8 . . .) • Trend – The general direction in which the line graph is going • Distort – to change the appearance or twist the meaning of a graph to mislead the reader.
In-Class Assignment #1 Create a bar graph using data from our our class, 8E. OPTIONS: 1) Pets 2) FavouriteColour 3) Favourite Sport STEPS: • Select an option • Create three to four categories/options • Collect data • Design your graph – include titles as shown in the example • Add colour for visual clarity
Title your graph Example Title your Y axis Title the categories you are comparing Set your intervals/range Title your X axis
1.1 – Advantages & Disadvantages of Different Graphs • Compare information from different graphs • Identify the advantages and disadvantages of different types of graphs
What is each graph the best for? • Bar graphs are best for comparing data across categories. • Circle graphs are best for comparing categories to the whole using percents. • Line graphs are best for showing change over time. • Pictographs are best for comparing data that can be easily counted and represented using symbols.
Examples of a Double Bar & Double Line Graph PG. 14 - #7 a
Double Line Graph • Remember to label your x and y axis and title your graph. * This graph is missing a title. • Include a key that tells what each line represents. Ex. Blue = Tom Purple = John
Double Bar Graph • Remember to label your x and y axis and title your graph. • Include a key that tells what each bar represents. Ex. High = red Low = Blue
1.2 Misrepresenting Data • Explain how the size of intervals on a graph could be misleading • Explain how the visual representation of a graph could misrepresent data • Explain how the size of bars on a graph could be misleading • Identify conclusions that do not agree with a given data set or graph and explain the misrepresentation
Misleading Graphs – Three Ways 1. Distorting the scale by using a break in the y-axis
Misleading Graphs 2. Distorting the size of the visual by making a symbol appear larger than others
Misleading Graphs 3. Distorting the size of the bars in a bar graph by making the bar wider or making a bar appear 3-D
QUESTION You see two different examples of graphs showing healthy choices sold at the cafeteria. If you had to convince Mr. Wight that we should continue selling healthy choices, which graph would you choose?
ANSWER • If I had to convince Mr. Wight that we should continue selling healthy choices in the cafeteria, I would choose the line graph because it shows that the trend is increasing and clearly shows that people are buying more healthy foods.
Distort each of the graphs, so that your information looks even MORE impressive. You cannot change the data, but you can change the graphs.
1.3 Critiquing Data Presentation • Explain how the graph is used to represent the data from a given situation New Vocabulary Terms: • Stacked Bar Graph – has bars stacked instead of side by side
Important Factors When Critiquing a Graph • 1) Graph Type:is it the best choice for displaying the data? • 2) Graph Format: does its design represent the data accurately? (no distortions) • 3) Graph Usefulness: is it informative and does it support a claim/argument?