Question

for which data representation is the median the better measure of center?

Explanation:

Step1: Recall median - mean concept

The median is a better measure of center when the data has outliers or is skewed.

Step2: Analyze data representations

We need to visually check for skewness or outliers. In a skewed - right or skewed - left distribution, the mean is pulled in the direction of the tail, while the median is more resistant.

Step3: Identify skewed data

The data representation with a long - tail (either to the left or right) will be the one where the median is a better measure of center. Without seeing the actual shapes clearly, if one of the histograms or dot - plots has a long tail, that's the one. For example, if a dot - plot has a few data points far to the right (right - skewed) or far to the left (left - skewed), the median is more representative of the "center" than the mean.

Since no specific data characteristics are described in words, assume we are looking for a distribution with a long tail. If one of the dot - plots or histograms has a long tail, that's the answer.

Answer:

The data representation with skewness or outliers (e.g., a long - tailed distribution)