for which data representation is the median the better measure of center?
for which data representation is the median the better measure of center?
Answer
Explanation:
Step1: Recall median property
The median is a better measure of center when data has outliers or is skewed.
Step2: Analyze data representations
We need to look for skewed - or outlier - containing data. In a skewed distribution, the mean is pulled in the direction of the tail, while the median is more robust.
Step3: Identify the right data
The data representation with a long - tail (either left - or right - skewed) will be the one where the median is a better measure of center. Looking at the dot - plots and box - plots, the distribution that is not symmetric and has a tail is the one where the median is more appropriate.
Answer:
The data representation that is skewed (either left - skewed or right - skewed) among the given ones. Without specific labels on the plots, we can't point to a particular one by number, but the general answer is the skewed data set.