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Question
draw two normal curves that have the same mean but different standard deviations. compare the two curves. the two curves will have of symmetry. the curve with the larger standard deviation will be spread out than the curve with the smaller standard deviation.
For normal curves, the line of symmetry is determined by the mean. Since the two curves have the same mean, they have the same line of symmetry. The standard deviation measures the spread of the data. A larger standard deviation means more variability in the data, so the curve will be more spread out.
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The two curves will have the same line of symmetry. The curve with the larger standard deviation will be more spread out than the curve with the smaller standard deviation.