Explain how the shape of a distribution determines the appropriate measure of center.(1 point) Responses Skewed data means that the mean is the best measure of center. Skewed data means that the mean is the best measure of center. The shape does not matter when determining the appropriate measure of center. The shape does not matter when determining the appropriate measure of center. More information is needed to determine how the data of distribution determines the appropriate measure of center. More information is needed to determine how the data of distribution determines the appropriate measure of center. Symmetrical data means that the mean is the best measure of center.

The shape of a distribution can help determine the appropriate measure of center by indicating whether the data is skewed or symmetrical.

If the data is skewed, meaning that the distribution is not symmetrical and has a longer tail on one side, the mean may not be the best measure of center. In this case, the median, which is not affected by extreme values, may be a more appropriate measure of center.

On the other hand, if the data is symmetrical, with a bell-shaped distribution, then the mean is typically the best measure of center as it captures the average of the data points.

Ultimately, the shape of the distribution helps determine which measure of center (mean or median) is most appropriate for summarizing the data effectively.