The graph shown appears to have the shape of a normal distribution, as it is symmetric and bell-shaped. This means option C is the correct choice.

Explanation:

1. Symmetry: The graph is symmetric around a central point, which is characteristic of a normal distribution.
2. Single Peak: The distribution has a single peak, another feature of normal distributions.
3. No Skewness: There is no indication of skew to the left or right, as it has equal tails on both sides.

Estimating Mean and Standard Deviation:

• The mean (center of the peak) appears to be around 20, as it is the central value where the highest point is located.
• For the standard deviation, considering the width of the curve, it looks like the data values fall within a range around 10 units from the mean. Thus, an approximate standard deviation could be 5.

Therefore, for choice C:

• Mean: approximately 20
• Standard Deviation: approximately 5

Would you like further details or have any questions?

Related Questions:

1. What are the key characteristics of a normal distribution?
2. How is the mean of a normal distribution graph identified?
3. How does one estimate the standard deviation from a normal distribution graph?
4. What distinguishes a symmetric distribution from a skewed distribution?
5. Why does a normal distribution not cross the x-axis in typical graphs?

Tip: In a normal distribution, approximately 68% of values fall within one standard deviation of the mean, which can help in estimating the spread visually.