### Experimental Study on Weight Gain in Mice A scientist is conducting a study on the effects of a new sweetener on ten mice. Over a period of three days, the mice exhibited the following weight gains in grams: - 3.7 - 4.3 - 3.2 - 5.2 - 6.4 - 5.7 - 5.8 - 6.5 - 3.1 - 5.5 To compare these results with prior studies, it is essential for the scientist to calculate the percentage of weight gains that fall within a single standard deviation of the mean. **Tasks:** a) **Calculate the Mean**: Determine the average weight gain from the given data set. b) **Calculate the Standard Deviation**: Compute the standard deviation of the weights to the nearest 0.01 grams. c) **Determine the Percentage Within ±1 Standard Deviation**: Identify what percentage of these weight gains lie within one standard deviation above or below the mean. This information is crucial for assessing the consistency and significance of the new sweetener's effects compared to standard weight gain patterns observed in previous research scenarios.

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