Answer :
Final answer:
If a stemplot of data shows symmetry but doesn't follow the 68-95-99.7 rule, the data is not considered normal. Symmetry only informs about the shape, not the behavior of the data. So, if data doesn't adhere to the 68-95-99.7 empirical rule, it doesn't bear the same distribution spread as normal data.
Explanation:
If a stemplot of a set of data is roughly symmetric, but the data do not even approximately follow the 68-95-99.7 rule, we can conclude that the data are not normal. The 68-95-99.7 rule is also known as the empirical rule, which is a statistical rule stating that for a normal distribution, almost all data will fall within three standard deviations of the mean. The data being symmetric only tells us about its shape, but not about how the data behaves. If the data does not follow the 68-95-99.7 rule, it does not have the same spread as a normal distribution, so we can say that the data are not Normal. Therefore, the correct answer is c. not Normal.
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