Which of the following frequency tables best represents a skewed data set? Select the single correct answer.

• A. Class: $1-3$, Frequency: $10$; Class: $4-6$, Frequency: $12$; Class: $7-9$, Frequency: $13$; Class: $10-12$, Frequency: $12$; Class: $13-15$, Frequency: $10$
• B. Class: $1-3$, Frequency: $25$; Class: $4-6$, Frequency: $20$; Class: $7-9$, Frequency: $13$; Class: $10-12$, Frequency: $5$; Class: $13-15$, Frequency: $2$
• C. Class: $1-3$, Frequency: $2$; Class: $4-6$, Frequency: $5$; Class: $7-9$, Frequency: $13$; Class: $10-12$, Frequency: $20$; Class: $13-15$, Frequency: $25$
• D. Class: $1-3$, Frequency: $8$; Class: $4-6$, Frequency: $9$; Class: $7-9$, Frequency: $10$; Class: $10-12$, Frequency: $9$; Class: $13-15$, Frequency: $8$

Answer: (B)

Verified step by step guidance

1. Understand that a skewed data set is one where the frequencies are not symmetrically distributed around the center; instead, the data tails off more on one side than the other.
2. Examine each frequency table to see how the frequencies change across the classes. Look for a pattern where frequencies either steadily decrease or increase, indicating a tail on one side.
3. For example, in a positively skewed distribution, frequencies are higher in the lower classes and gradually decrease as the class intervals increase, showing a tail to the right.
4. In a negatively skewed distribution, frequencies are lower in the lower classes and increase towards the higher classes, showing a tail to the left.
5. Identify the table where the frequencies start high and then consistently decrease (or vice versa), which best represents a skewed distribution rather than a symmetric one.