WA30.9
Extend and apply understanding of measures of central tendency to solve problems including:
  • mean
  • median
  • mode
  • weighted mean
  • trimmed mean.

[C, CN, PS, R]

Indicators for this outcome
(a)

Explain, using examples, the advantages and disadvantages of each measure of central tendency.

(b)

Determine the mean, median, and mode for sets of data and explain the reasoning.

(c)

Analyze calculations of measures of central tendency to identify and correct errors if necessary.

(d)

Critique statements such as "It is not possible to have a set of data which displays a mean, a median, and a mode of the same value."

(e)

Identify the outlier(s) in a set of data, explain why they are outliers, and discuss their effect on the mean, median, and mode of that data set.

(f)

Calculate the trimmed mean for sets of data and justify the removal of the outliers.

(g)

Explain, using examples such as course marks, why some data in a set would be given a greater weighting in determining the mean.

(h)

Calculate the mean of a set of numbers after allowing the data to have different weightings (weighted mean) and explain the reasoning.

(i)

Explain, using examples from print and other media, how and why measures of central tendency and outliers are used to provide different interpretations of data.

(j)

Create and solve situational questions that involve measures of central tendency.

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R055025
MathWorks 12
MathWorks 12 enables students to make connections between school mathematics and the workplace.
•  MathWorks 12. Student Resource
•  MathWorks 12. Student Resource Digital (CD-ROM)
•  MathWorks 12. Student Resource Digital Licence
•  MathWorks 12. Student Resource Package (Book and CD)
•  MathWorks 12. Teacher Resource
•  MathWorks 12. Teacher Resource Digital (CD-ROM)
•  MathWorks 12. Teacher Resource Package (Book and CD)
Media and Formats : Book CD/DVD
Price : Free
Record posted/updated: August 13, 2019