Explain how the shape of a distribution determines the appropriate measure of center.(1 point)

Question

Responses

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.
Symmetrical 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.

Skewed data means that the mean is the best measure of center.

Answer 1

The correct response is: Symmetrical data means that the mean is the best measure of center.

In a symmetrical distribution, such as a normal distribution, the mean, median, and mode are all located at the same point, making the mean a reliable measure of center. However, when dealing with skewed data, the mean can be influenced by extreme values (outliers), making the median a more appropriate measure of center in those cases. Therefore, the shape of the distribution plays a crucial role in deciding which measure of center is most appropriate.