Question

descriptive statistics participation module 2 packet 1. label each of the graphs as symmetric, left skewed, right skewed, bimodal, or multimodal.

Explanation:

To solve this, we analyze each graph based on the definitions of symmetric, skewed, bimodal, or multimodal distributions:

Graph A (Red)

• The tail extends to the left (lower values), and the peak is on the right. This is a right - skewed distribution (also called positively skewed), as the tail is on the right side of the peak.

Graph B (Green)

• The distribution is symmetric around the center (the left and right sides of the peak mirror each other). So, Graph B is symmetric.

Graph C (Blue)

• The tail extends to the left (towards negative values), and the peak is on the right. Thus, Graph C is right - skewed (positively skewed).

Graph D (Gray)

• There are two distinct peaks (modes) in the distribution. So, Graph D is bimodal.

Graph E (Light Gray)

• There are two distinct peaks (modes) around the center. Hence, Graph E is bimodal.

Graph F (Cyan)

• The tail extends to the right (higher values), and the peak is on the left. This is a left - skewed (negatively skewed) distribution.

Graph G (Beige)

• There are three or more distinct peaks (modes) in the distribution. So, Graph G is multimodal.

Graph H (Yellow)

• The tail extends to the left (towards negative values), and the peak is on the right. Thus, Graph H is right - skewed (positively skewed).

Final Labels:

• A: Right Skewed
• B: Symmetric
• C: Right Skewed
• D: Bimodal
• E: Bimodal
• F: Left Skewed
• G: Multimodal
• H: Right Skewed

Answer:

To solve this, we analyze each graph based on the definitions of symmetric, skewed, bimodal, or multimodal distributions:

Graph A (Red)

• The tail extends to the left (lower values), and the peak is on the right. This is a right - skewed distribution (also called positively skewed), as the tail is on the right side of the peak.

Graph B (Green)

• The distribution is symmetric around the center (the left and right sides of the peak mirror each other). So, Graph B is symmetric.

Graph C (Blue)

• The tail extends to the left (towards negative values), and the peak is on the right. Thus, Graph C is right - skewed (positively skewed).

Graph D (Gray)

• There are two distinct peaks (modes) in the distribution. So, Graph D is bimodal.

Graph E (Light Gray)

• There are two distinct peaks (modes) around the center. Hence, Graph E is bimodal.

Graph F (Cyan)

• The tail extends to the right (higher values), and the peak is on the left. This is a left - skewed (negatively skewed) distribution.

Graph G (Beige)

• There are three or more distinct peaks (modes) in the distribution. So, Graph G is multimodal.

Graph H (Yellow)

• The tail extends to the left (towards negative values), and the peak is on the right. Thus, Graph H is right - skewed (positively skewed).

Final Labels:

• A: Right Skewed
• B: Symmetric
• C: Right Skewed
• D: Bimodal
• E: Bimodal
• F: Left Skewed
• G: Multimodal
• H: Right Skewed