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

Types of 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 Quantitative Data – 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 Section 5A – Describing Data

Classify these as categorical, quantitative discrete or quantitative continuous: a)The number of heads obtained when 3 coins are tossed. b)The brand of toothpaste used by the students in our IB Math Studies class. c)The heights of a group of 15 year old teenagers.

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

Displaying Categorical Data: Vertical Column Graph

Displaying Categorical Data: Horizontal Bar Chart

Displaying Categorical Data: Pie Chart

Displaying Categorical Data: Segment Bar Chart

Discrete Organizing Discrete Quantitative Data Tally and Frequency Table

Discrete Displaying Discrete Quantitative Data: Dot plot

Discrete Displaying Discrete Quantitative Data: Stemplot

Discrete Displaying Discrete Quantitative Data: Column Graph

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.

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

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

Symmetric Distribution

Positively Skewed Distribution

Negatively Skewed Distribution

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.

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 a)Is this data discrete or continuous? b)Construct a frequency table for the data. c)Display the data using a column graph. d)Describe the shape of the distribution. Are there any outliers? e)What percentage of families have 5 or fewer people in them? Problem 1

Homework Exercise 5A, pg 111 – #1 Exercise 5B, pg 116 – #2, 4, 5