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Briefly explain the dispersion of the results

The dispersion of the pH values can be explained using the statistical measures provided:

1. **Mean (9.87)**: The average pH value of the samples indicates the central tendency, giving a general idea of the typical pH in this set.

2. **Range (1.7 to 13.4)**: The range, calculated as the difference between the maximum (13.4) and minimum (1.7) values, is quite large, suggesting a high variability in the pH values. This means that the pH levels are spread out over a wide interval, reflecting significant differences among the samples.

3. **Standard Deviation (2.94)**: A standard deviation of 2.94 is relatively high compared to the mean, indicating that the individual pH values tend to deviate significantly from the mean. This further confirms that the data points are dispersed widely around the central value.

Overall, the high range and standard deviation show that there is a considerable spread in the pH values of the samples, pointing to diverse acidity or alkalinity levels across the different solutions.

Would you like more details or have any questions?

### Related Questions:
1. How do you interpret standard deviation in the context of pH levels?
2. What is the significance of the range when comparing multiple pH samples?
3. How does a large standard deviation affect the interpretation of the mean pH value?
4. How can the presence of outliers be detected using the range and standard deviation?
5. What other dispersion measures could be used to analyze pH data?

**Tip:** When interpreting data dispersion, always consider how large the standard deviation is relative to the mean to assess the spread effectively.

Learn how to explain data dispersion in pH solutions using the mean, range, and standard deviation. This example includes a mean of 9.87, a range from 1.7 to 13.4, and a standard deviation of 2.94, illustrating significant variability in the data. Suitable for students in Grades 9-12.

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