The two stem-and-leaf plots below represent test scores from two different classes. Both classes have an identical mean score of 75 75 . However, one class has a standard deviation of 5 5 , while the other has a standard deviation of 12 12 . Which plot corresponds to the class with the higher standard deviation? Explain your reasoning.

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Problem 6Multiple Choice

The two stem-and-leaf plots below represent test scores from two different classes. Both classes have an identical mean score of $75$ . However, one class has a standard deviation of $5$ , while the other has a standard deviation of $12$ .
Which plot corresponds to the class with the higher standard deviation? Explain your reasoning.

Plot A has the higher standard deviation because it has more data points above $80$

Plot B has the higher standard deviation because the data points are spread over a larger range of values, showing more variability

Plot A has the higher standard deviation because its scores are closer to the mean

Plot B has the higher standard deviation because it contains more scores near the mean, reducing variability

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