Based on the graph provided, which represents a normal distribution:

1. The mean: The mean of a normal distribution is the center point of the curve. From the graph, the peak is at 64, so the mean is 64.

2. The median: In a normal distribution, the median is the same as the mean since the distribution is symmetric. Therefore, the median is also 64.

3. The mode: The mode is the most frequently occurring value, which corresponds to the peak of the curve in a normal distribution. Therefore, the mode is also 64.

4. The standard deviation: The standard deviation is provided as 3 in the question.

Final Answers:

• a. Mean: 64
• b. Median: 64
• c. Mode: 64
• d. Standard deviation: 3

Would you like further details or clarification?

Here are five related questions to consider:

1. What is the relationship between mean, median, and mode in a normal distribution?
2. How can standard deviation affect the shape of a normal distribution curve?
3. Why is the normal distribution symmetric?
4. How would the curve change if the standard deviation were smaller?
5. How do you calculate probabilities within one standard deviation of the mean?

Tip: Always identify the peak and symmetry of the graph to quickly determine key characteristics like mean, median, and mode.