Mathematical Component of Summative for MDM 4U

You are to examine some of the theoretical probabilities and statistical results regarding your game.

The assignments will be out of 5, based on the following descriptors

0 – The student does not attempt to carry out any mathematical processes.

1 – The student carries out any number of simple mathematical processes.

2 – The simple mathematical processes are mostly or completely correct, or the student makes an attempt to use at least one complex process.

3 – The student carries out at least one complex process, and all the processes used are mostly or completely accurate.

4 – The student carries out at least one complex process; the processes used are mostly or completely accurate and all the processes used are relevant (ie: used in a meaningful way)

5 – The student accurately carries out a number of complex processes.

“Mathematical Processes” in the above descriptions refers to either theoretical probability or statistical analysis.

**Indicates where no mathematical steps need be shown.

Examples of Simple Processes for Probability:

• Simple Probability

• Compound Probabilities involving Mutually Exclusive or Independent Events

• Individual Calculations in a Distribution

• Graphical Representations**

Examples of Complex Processes for Probability:

• Compound Probabilities involving Non-Mutually Exclusive or Dependent Events

• Full Probability Distribution Analysis

• Normal Approximation of the Binomial Distribution

Examples of Simple Processes for Statistical Analysis:

• Use of Graphical Representation of any sort (pie chart, histogram, scatter plot, etc) **

• Measures of Central Tendency

• Measures of Spread

• Correlation Coefficient

• Coefficient of Determination**

• Regressions**

Examples of Complex Process for Statistical Analysis:

• Correlation Coefficient Analysis**

• Coefficient of Determination Analysis**

• Regression Analysis**

• Normal Distribution