Given a frequency distribution with most data values clustered to the left and a long tail extending to the right, what is the shape of the distribution shown?

• A. Negatively skewed ($\text{left-skewed}$)
• B. Symmetrical
• C. Uniform
• D. Positively skewed ($\text{right-skewed}$)

Answer: (D)

Verified step by step guidance

1. Understand the concept of skewness in a distribution: skewness describes the asymmetry of the data around the mean.
2. Identify the direction of the tail in the distribution: if the tail extends to the right (towards higher values), the distribution is said to be positively skewed (right-skewed).
3. Recognize that when most data values are clustered to the left with a long tail to the right, it indicates a positive skewness.
4. Recall that a negatively skewed (left-skewed) distribution has a long tail extending to the left, opposite to what is described here.
5. Conclude that the shape of the distribution described is positively skewed (right-skewed) because of the clustering on the left and the long tail on the right.