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match each standard deviation with one of the histograms above.
s=1
s=3
s=5

To match the standard deviations \( s = 1 \), \( s = 3 \), and \( s = 5 \) with the histograms labeled (a), (b), and (c), we need to analyze the spread of the data in each histogram.

- **Histogram B** shows the narrowest spread of values, which means it corresponds to the smallest standard deviation. Therefore, **\( s = 1 \) matches Histogram B**.
- **Histogram C** has a moderate spread, wider than B but not as wide as A. Therefore, **\( s = 3 \) matches Histogram C**.
- **Histogram A** has the widest spread of the three, so it corresponds to the largest standard deviation. Therefore, **\( s = 5 \) matches Histogram A**.

In summary:
- Histogram A: \( s = 5 \)
- Histogram B: \( s = 1 \)
- Histogram C: \( s = 3 \)

Would you like more details, or do you have any questions?

Here are 5 related questions to expand this topic:
1. How does increasing the standard deviation affect the shape of a histogram?
2. What are some common applications of standard deviation in data analysis?
3. How can we calculate the variance from the standard deviation?
4. What does it mean if a histogram has a skewed distribution instead of being symmetric?
5. How does the mean relate to the spread and shape of the distribution?

**Tip**: The standard deviation measures the dispersion of data around the mean. A larger standard deviation means more spread-out data.

Match each standard deviation with one of the histograms above. s=1, s=3, s=5

Learn how to match standard deviations (s=1, s=3, s=5) with histograms based on their data spread. Analyze the graphical distribution of values in each histogram and determine the correct standard deviation. This problem focuses on key statistical concepts like standard deviation and data distribution.

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