Mathematics 11 Statistics

Specific Curriculum Outcomes

S01     Demonstrate an understanding of normal distribution, including: standard deviation and z-scores.

S02     Interpret statistical data, using: confidence intervals, confidence levels and margin of error.

S03     Critically analyze society’s use of statistics

Activities

  • Data and Standard Deviation from Bryan Anderson - Directions: Using the numbers 1 to 9, using each only once, create a data set of 4 numbers that fit the following criteria: The four numbers have the smallest possible standard deviation: ___ , ___ , ___ , ___​.  ​The four numbers have the largest possible standard deviation:___ , ___ , ___ , ___
  • Understanding the Normal Curve Activity - Look at 10 cm on a ruler and then take a ball of string and try to cut 20 lengths of 10 cm each by guessing. Measure the lengths of all the pieces in mm. Combine your measures with others so that you have a minimum of 100 lengths in total. Organize your combined data - Use the grid that you have been given to organize your combined data.Now combine your groups data with at least one other groups data organize that on another grid. What do you notice?​  An alternate to this activity could be: The Game of Bowls - Make a line with a piece of rope on the grass about 20 metres away from a location. Let everyone in the class have several tries to land a tennis ball on the line. Measure how far each ball is from the line. 
Histogram for string lengths.docx
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  • 'FAANGG' Is Catchy, But Not Fully Accurate from Seeking Alpha - This article includes an anecdote from Jordan Ellenberg's How Not to Be Wrong: The Power of Mathematical Thinking that helps to illustrate the erroneous nature of using positive and negative numbers in statistics.  Ellenberg calls this the "More pie than plate" fallacy.