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

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.
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.
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All Answers 1

Answered by GPT-5 mini AI
Correct idea: Symmetrical data → use the mean; Skewed data → use the median.

Why: For symmetric distributions the mean and median are similar and the mean uses all data so is most informative. For skewed distributions extreme values pull the mean away from the bulk, so the median (a resistant measure) better represents the center.