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Let's break down and analyze the problems you have shared:

### Part (f): Range of Variation
The range of variation is given by the interval \([ \bar{X} - S, \bar{X} + S ]\), where:
- \( \bar{X} \) is the mean
- \( S \) is the standard deviation

The correct results are:
- Lower bound: \( \bar{X} - S = 0.98 \)
- Upper bound: \( \bar{X} + S = 5.62 \)

These values were correctly entered in the system, so no issues there.

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### Part (g): Percent of Data Values within One Standard Deviation
The question asks to calculate the percentage of data values that fall within one standard deviation from the mean, i.e., within the interval \([ \bar{X} - S, \bar{X} + S ]\).

The total area of the shaded region corresponds to the probability mass (or percentage) of the data values that lie within this range for a normally distributed dataset. Based on the empirical rule for a normal distribution:
- Approximately **68.27%** of the data falls within one standard deviation from the mean.

You entered "25" as the total area, which seems incorrect. The correct approach would involve multiplying the total shaded area by 100 to express it as a percentage of the entire dataset. 

If this is a normal distribution, the correct value is approximately 68.27%, not 25%.

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### Related Questions:
1. How can we interpret the empirical rule (68-95-99.7) in a real dataset?
2. What steps are involved in calculating the percentage area under the normal curve?
3. How is the range of variation applied in statistical data analysis?
4. Why does the normal distribution help with calculating probabilities?
5. What happens when the data is not normally distributed?

### Tip:
When dealing with a normal distribution, remember the empirical rule: 68.27% of data falls within one standard deviation, 95.45% within two, and 99.73% within three.

Determine the range of variation and calculate what percent of the data values are within one standard deviation of the mean.

Learn how to calculate the range of variation and determine what percent of data values fall within one standard deviation of the mean using the empirical rule. This problem covers important statistical concepts, including the normal distribution and the 68-95-99.7 rule. Suitable for Grades 9-12.

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