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Jemshah
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Asked: 2022-12-31T04:01:54+00:00 In:

Outline four properties of the arithmetic mean. (4 marks)DICT MOD 1 July 2020

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Outline four properties of the arithmetic mean. (4 marks)DICT MOD 1 July 2020

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    Enlightened
    1. It is sensitive to extreme values: The arithmetic mean is sensitive to extreme values, which means that it can be greatly affected by values that are significantly larger or smaller than the other values in the data set. For example, if a data set contains both very large and very small values, the arithmetic mean will be pulled in the direction of the extreme values.
    2. It is not resistant to change: The arithmetic mean is not resistant to change, which means that it can be easily affected by small changes in the data set. For example, if a single value in the data set is changed, the arithmetic mean will also change.
    3. It is not a robust statistic: The arithmetic mean is not a robust statistic, which means that it is not very reliable when the data set contains outliers (values that are significantly different from the other values in the data set). Outliers can greatly affect the arithmetic mean and make it less representative of the data set as a whole.
    4. It is the most commonly used measure of central tendency: The arithmetic mean is the most commonly used measure of central tendency because it is easy to calculate and understand. It is a good choice for data sets that are symmetrical and do not contain extreme values or outliers. However, for data sets that do contain extreme values or outliers, other measures of central tendency, such as the median or the mode, may be more appropriate.

     

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