The selection of mean or median as the best measure of center to describe the shape of a data set depends on the distribution of the data.
- If the data set is symmetric, the mean and median are typically close to each other and either can serve as a good measure of center.
- If the data set is skewed or contains outliers, the median is generally a better measure of central tendency because it is less affected by extreme values.
Without additional context about the distribution of the number of goals scored by the soccer team (e.g., whether it is symmetric, skewed, or includes outliers), we can make a general assumption:
- If the set is symmetric, the mean can be representative.
- If the set is skewed or has outliers, the median would be more representative.
Given the provided values, we can hypothesize:
- If the data set of the number of goals scored by the soccer team is skewed, the median value of 2.6 could be the best measure of center.
- If the data set is symmetric, both mean and median could be appropriate, but you would need to confirm this.
However, the provided options seem to suggest deciding between "mean of 1" and "median of 2.6."
Given the typical case for such data sets often being skewed (e.g., there could be many games with fewer goals and a few high-scoring games), the median might be a better choice. Therefore:
"The median value of 2.6 is the best measure of center that describes the shape of the data set."
What value, the mean or median, best describes the shape of the data set that contains the number of goals scored by the soccer team?(1 point) Responses The median value of 2.6 is the best measure of center that describes the shape of the data set. The median value of 2.6 is the best measure of center that describes the shape of the data set. The mean value of 1 is the best measure of center that describes the shape of the data set. The mean value of 1 is the best measure of center that describes the shape of the data set. The median value of 1 is the best measure of center that describes the shape of the data set. The median value of 1 is the best measure of center that describes the shape of the data set. The mean value of 2.6 is the best measure of center that describes the shape of the data set.
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