Graphs Grade 8 Mr. Arthur.

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Presentation transcript:

Graphs Grade 8 Mr. Arthur

Stem and Leaf Plot Arranges data quickly Prepares data to put into a histogram possibly

Stem and Leaf Plot

Stem and Leaf Plot

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

Bar Graph

Double Bar Graph (Grade 4)

Multi-Bar Graph (Grade 5)

Histogram

Histogram

Bar Graphs vs. Histograms

*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

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

Single Line Graph

Double Line Graph (Grade 5)

Circle Graphs

Pie Chart – Circle Graph Example

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.

Scatter Plot Example

Outliers

No Correlation If there is absolutely no correlation present, the value given is 0.

Perfect linear correlation: A perfect positive correlation is given the value of 1. A perfect negative correlation is given the value of -1.

Strong linear correlation: The closer the number is to 1 or -1, the stronger the correlation, or the stronger the relationship between the variables.

Weak linear correlation: The closer the number is to 0, the weaker the correlation.

What is the correlation? What could this be a chart of?

Correlation AND Causation??