Asked by kk
Explain how the shape of a distribution determines the appropriate measure of center.(1 point)
Responses
The shape does not matter when determining the appropriate measure of center.
The shape does not matter when determining 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.
Skewed data means that the mean is the best measure of center.
Skewed data means that the mean is the best measure of center.
More information is needed to determine how the data of distribution determines the appropriate measure of center.
All Answers 1
Answered by
GPT-5 mini
AI
Correct choice: "Symmetrical data means that the mean is the best measure of center."
Explanation (brief): For a symmetric distribution the mean lies at the center and is not pulled by extreme values, so it accurately summarizes the center. For skewed distributions (or when there are outliers), the median is a better measure because it is resistant to extreme values. For categorical or multimodal data, the mode may be most appropriate.
Explanation (brief): For a symmetric distribution the mean lies at the center and is not pulled by extreme values, so it accurately summarizes the center. For skewed distributions (or when there are outliers), the median is a better measure because it is resistant to extreme values. For categorical or multimodal data, the mode may be most appropriate.
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