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.