- mean
- median
- mode
- weighted mean
- trimmed mean.
[C, CN, PS, R]
(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. |