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BrainPop

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. BrainPop. Graphs. Section 5A – Describing Data.

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BrainPop

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  1. Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

  2. BrainPop • Graphs

  3. Section 5A – Describing Data Categorical Data – Describes a particular quality or characteristic. It can be divided into categories. i.e. color of eyes or types of ice cream QuantitativeData – Contains a numerical value. The information collected is termed numerical data. Discrete – Takes exact number values and is often the result of counting. i.e. number of TVs or number of houses on a street Continuous – Takes numerical values within a certain range and is often a result of measuring. i.e. the height of seniors or the weight of freshman Types of Data

  4. Classify these ascategorical,quantitative discrete orquantitative continuous: • The number of heads obtained when 3 coins are tossed. • The brand of toothpaste used by the students in our IB Math Studies class. • The heights of a group of 15 year old teenagers.

  5. Tally and Frequency Table Section 5B – Presenting and Interpreting Data Organizing Categorical Data

  6. Displaying Categorical Data: Vertical Column Graph

  7. Displaying Categorical Data: Horizontal Bar Chart

  8. Displaying Categorical Data: Pie Chart

  9. Displaying Categorical Data: Segment Bar Chart

  10. Tally and Frequency Table Organizing Discrete Quantitative Data

  11. Dot plot Displaying Discrete Quantitative Data:

  12. Stemplot Displaying Discrete Quantitative Data:

  13. Column Graph Displaying Discrete Quantitative Data:

  14. On a Piece of Paper: • Make a Tally and Frequency Table for the Pea Problem With Fertilizer data (Page 113). • Once completed, compare your results with classmates.

  15. Open Autograph: - Use the data obtained in your Tally and Frequency table for peas with fertilizer to create a Dot Plot and Column Graph.

  16. By placing a curve over a column graph or dot plot you can describe the distribution of a data set.

  17. Symmetric Distribution

  18. Positively Skewed Distribution

  19. Negatively Skewed Distribution

  20. Outliers • Data values that are either much larger or much smaller than the general body of data. • Outliers appear separated from the body of data on a frequency graph.

  21. Problem 1 24 families were surveyed to find the number of people in the family. The results are:5, 9, 4, 4, 4, 5, 3, 4, 6, 8, 8, 5, 7, 6, 6, 8, 6, 9, 10, 7, 3, 5, 6, 6 • Is this data discrete or continuous? • Construct a frequency table for the data. • Display the data using a column graph. • Describe the shape of the distribution. Are there any outliers? • What percentage of families have 5 or fewer people in them?

  22. Homework • Exercise 5A, pg 111 • #1 • Exercise 5B, pg 116 • #2, 4, 5

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