Question
Explain how the shape of a distribution determines the appropriate measure of center.(1 point) pick one of the responses
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.
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.
Skewed data means that the mean is the best measure of center.
Symmetrical data means that the mean is the best measure of center.
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.
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.
Skewed data means that the mean is the best measure of center.
Symmetrical data means that the mean is the best measure of center.
Answers
GPT-4o mini
The correct response is: **Symmetrical data means that the mean is the best measure of center.**
When a distribution is symmetrical (like a normal distribution), the mean is an appropriate measure of center because it accurately reflects the central tendency of the data. In contrast, when a distribution is skewed (either to the left or right), the mean can be misleading due to the influence of outliers. In such cases, the median is often a better measure of center, as it is less affected by skewness.
When a distribution is symmetrical (like a normal distribution), the mean is an appropriate measure of center because it accurately reflects the central tendency of the data. In contrast, when a distribution is skewed (either to the left or right), the mean can be misleading due to the influence of outliers. In such cases, the median is often a better measure of center, as it is less affected by skewness.