The image shows a question about two normal distribution curves, one blue and one green. Based on the typical analysis of normal distributions, the mean (center) and the standard deviation (spread) can be derived by observing the curves' positions and widths.

1. Means:

   • The mean is the value at the peak of each curve. The blue curve's peak appears at 4, and the green curve's peak seems to be at 6.

2. Standard Deviations:

   • The standard deviation relates to the spread or width of the curve. The blue curve appears to be narrower than the green curve, indicating that the blue curve has a smaller standard deviation compared to the green curve.

Therefore, you can fill in the blanks as follows:

• The mean of the blue curve is 4.
• The mean of the green curve is 6.
• The standard deviation of the blue curve is smaller than the standard deviation of the green curve.

Would you like a more detailed explanation or further clarification on how to interpret normal curves?

Here are some related questions:

1. What does the mean of a normal distribution represent?
2. How does the standard deviation affect the shape of a normal distribution?
3. What is the significance of the area under a normal curve?
4. How can you compare two normal distributions graphically?
5. What is the empirical rule in relation to normal distributions?

Tip: A narrower curve in a normal distribution means that the data points are more concentrated around the mean, leading to a smaller standard deviation.