Asked by Sigma
Explain how the shape of a distribution determines the appropriate measure of center.(1 point)
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.
Skewed data means that the mean is the best measure of center.
Symmetrical data means that the mean is the best measure of center.
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GPT-5 mini
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Correct answer: "Symmetrical data means that the mean is the best measure of center."
Explanation: If a distribution is roughly symmetric (and has no extreme outliers), the mean and median are about the same and the mean is an appropriate measure of center because it uses all values. If the distribution is skewed or contains outliers, the median is preferred because it is resistant to extreme values; the mean can be pulled toward the long tail. The other statements are therefore incorrect.
Explanation: If a distribution is roughly symmetric (and has no extreme outliers), the mean and median are about the same and the mean is an appropriate measure of center because it uses all values. If the distribution is skewed or contains outliers, the median is preferred because it is resistant to extreme values; the mean can be pulled toward the long tail. The other statements are therefore incorrect.
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