Nominal data refers to data that can be grouped into named categories. For instance, the gender of students enrolled for a given course in a given university. The best measure of central tendency to use for this kind of data is the mode. This is because the data is non-continuous.
Interval and ratio data are both continuous, hence mathematical operations can be performed on them. For interval data, the order of the values and the...
Nominal data refers to data that can be grouped into named categories. For instance, the gender of students enrolled for a given course in a given university. The best measure of central tendency to use for this kind of data is the mode. This is because the data is non-continuous.
Interval and ratio data are both continuous, hence mathematical operations can be performed on them. For interval data, the order of the values and the exact differences between them is known, e.g. temperatures of students in a class. The best measure of central tendency for reporting interval data is the mean (when the data is not skewed) or the median (when the data is skewed). Ratio data has, in addition to interval data’s properties, a clearly defined absolute zero, for instance, height data. The best measure of central tendency to use for ratio data is the mean (for non-skewed data) and the median (for skewed data).
The mean is found by summing up all the values in the data set and dividing this total sum by the number of values.
The median is the value of the middle item in a data set whose items have been arranged in order of size.
The mode is the most frequently occurring item in a data set.
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