The measure of center for a dot plot is typically represented by the median, which is the middle value of the data set when it is arranged in ascending or descending order. The median is a robust measure of center because it is not affected by extreme values or outliers.
On the other hand, the measure of variability for a dot plot can be represented by the range, which is the difference between the maximum and minimum values in the data set. The range provides a simple measure of spread, but it is sensitive to extreme values and outliers.
Another measure of variability that can be used for dot plots is the interquartile range (IQR), which is the difference between the first quartile (Q1) and the third quartile (Q3). The IQR is also a robust measure of spread because it is not affected by extreme values or outliers.
In summary, the measure of center for a dot plot is typically represented by the median, while the measure of variability can be represented by the range or the interquartile range. The median is robust and not affected by extreme values, while the range is sensitive to extreme values. The IQR is also robust and provides a measure of spread that is not affected by extreme values.
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