Give one example of a situation in which $(i)$ the mean is an appropriate measure of central tendency.
(N/A) The mean is an appropriate measure of central tendency when the data set does not contain extreme outliers and the values are relatively close to each other.
$(i)$ Consider the following example: The heights of the members of a family are $154.9 \text{ cm}, 162.8 \text{ cm}, 170.6 \text{ cm}, 158.8 \text{ cm}, 163.3 \text{ cm}, 166.8 \text{ cm}, 160.2 \text{ cm}$.
In this case,it can be observed that the observations in the given data are close to each other and there are no extreme values. Therefore,the mean is an appropriate measure of central tendency.
$(i)$ Consider the following example: The heights of the members of a family are $154.9 \text{ cm}, 162.8 \text{ cm}, 170.6 \text{ cm}, 158.8 \text{ cm}, 163.3 \text{ cm}, 166.8 \text{ cm}, 160.2 \text{ cm}$.
In this case,it can be observed that the observations in the given data are close to each other and there are no extreme values. Therefore,the mean is an appropriate measure of central tendency.
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