A mean is an appropriate summary for which data types?

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Multiple Choice

A mean is an appropriate summary for which data types?

A mean relies on adding values and dividing by how many observations, which only makes sense when the numbers reflect equal-sized intervals and, in the case of ratio data, a true zero. Interval data have equal steps between values, so averaging captures the central tendency and meaningful comparisons between data points. Ratio data share those equal intervals and also include a true zero, making the mean interpretable as a true average of amounts or quantities. Nominal data are just category labels without a meaningful order or distance, so you can’t average them. Ordinal data have an order but not guaranteed equal spacing between ranks, so averages can be misleading; the median or mode is more appropriate there. Thus, the mean is suitable specifically for interval or ratio data.

A mean relies on adding values and dividing by how many observations, which only makes sense when the numbers reflect equal-sized intervals and, in the case of ratio data, a true zero. Interval data have equal steps between values, so averaging captures the central tendency and meaningful comparisons between data points. Ratio data share those equal intervals and also include a true zero, making the mean interpretable as a true average of amounts or quantities. Nominal data are just category labels without a meaningful order or distance, so you can’t average them. Ordinal data have an order but not guaranteed equal spacing between ranks, so averages can be misleading; the median or mode is more appropriate there. Thus, the mean is suitable specifically for interval or ratio data.

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