Photo AI
Which graph represents a negatively skewed distribution? A - HSC - SSCE Mathematics Standard - Question 1 - 2022 - Paper 1
Question 1
Which graph represents a negatively skewed distribution? A. [Graph A] B. [Graph B] C. [Graph C] D. [Graph D]
Worked Solution & Example Answer:Which graph represents a negatively skewed distribution? A - HSC - SSCE Mathematics Standard - Question 1 - 2022 - Paper 1
Step 1
Identify the characteristics of a negatively skewed distribution
Answer
A negatively skewed distribution, also known as left-skewed, has a tail that extends to the left. The majority of the data points are concentrated on the right side, with fewer low values. In graphical representation, the mean is less than the median, and the peak of the graph is located on the right.
Step 2
Analyze each graph option
Answer
We can examine each provided graph option (A, B, C, D).
- Graph A: Symmetrical distribution.
- Graph B: A flat line with no variation.
- Graph C: Right-tailed, which suggests a positively skewed distribution.
- Graph D: The peak is on the left with a long tail extending to the left, representing a negatively skewed distribution.
Step 3