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Graphs Grade 8 Mr. Arthur
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Stem and Leaf Plot Arranges data quickly
Prepares data to put into a histogram possibly
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Stem and Leaf Plot
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Stem and Leaf Plot
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A bakery collected the following data about the
# of loaves of bread sold each of the 24 business days: 53, 49, 27, 48, 60, 52, 44, 38, 47, 52, 82,46, 55, 31, 39, 54, 51, 47, 50, 45, 50, 61, 43, and 64. Make a stem-and-leaf plot of the data. Find the median and mode(s) of the data. How can the owner use the stem-and-leaf plot to make plans for baking bread? Stem Leaf
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Bar Graph
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Double Bar Graph (Grade 4)
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Multi-Bar Graph (Grade 5)
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Histogram
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Histogram
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Bar Graphs vs. Histograms
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*Ex 2. The given data shows the # of people in 24 vehicles
hat passed a designated checkpoint. 1, 4, 1, 2, 2, 1, 3, 1, 3, 2, 2, 6, 4, 2, 1, 1, 2, 4, 3, 1, 2, 4, 2, 3. Make a frequency table for these data. Make a histogram from the frequency table. # Frequency 1 2 3 4 5 6
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Line Graph Line graph Advantages Disadvantages
A line graph plots continuous data as points and then joins them with a line. Multiple data sets can be graphed together, but a key must be used. Shows change over time (e.g. temperature change, income change, Kalyani’s change in speed while running a given distance) Advantages Can compare multiple continuous data sets easily Interim data can be inferred from graph line. Disadvantages Use only with continuous data
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Single Line Graph
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Double Line Graph (Grade 5)
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Circle Graphs
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Pie Chart – Circle Graph Example
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Scatter Plot Scatter plot Advantages Disadvantages
A scatter plot displays the relationship between two factors of the experiment. A trend line is used to determine positive, negative or no correlation. Advantages Shows a trend in the data relationship Retains exact data values and sample size. Shows minimum/maximum and outliers Disadvantages Hard to visualize results in large data sets Flat trend line gives inconclusive results. Data on both axes should be continuous.
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Scatter Plot Example
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Outliers
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No Correlation If there is absolutely no correlation present, the value given is 0.
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Perfect linear correlation: A perfect positive correlation is given the value of 1. A perfect negative correlation is given the value of -1.
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Strong linear correlation: The closer the number is to 1 or -1, the stronger the correlation, or the stronger the relationship between the variables.
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Weak linear correlation: The closer the number is to 0, the weaker the correlation.
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What is the correlation?
What could this be a chart of?
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Correlation AND Causation??
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