Which of the following statements is most likely true based on the histogram above?

• A. The data are approximately symmetric with no apparent skew.
• B. The data are left-skewed, with most values concentrated on the right.
• C. The data are right-skewed, with most values concentrated on the left.
• D. The data are uniformly distributed across all bins.

Answer: (C)

Verified step by step guidance

1. Step 1: Understand the meaning of skewness in a distribution. A right-skewed distribution (positively skewed) has a longer tail on the right side, with most data values concentrated on the left. A left-skewed distribution (negatively skewed) has a longer tail on the left side, with most data values concentrated on the right.
2. Step 2: Recall that a symmetric distribution has roughly equal tails on both sides and the data are evenly spread around the center, showing no skewness.
3. Step 3: Recognize that a uniform distribution means the data are evenly distributed across all bins, with no peaks or tails.
4. Step 4: To determine which statement is most likely true, analyze the histogram's shape by observing where the bulk of the data lies and the direction of any tail. If the histogram shows a concentration of values on the left and a tail extending to the right, it indicates right skewness.
5. Step 5: Based on the histogram's shape, conclude that the statement 'The data are right-skewed, with most values concentrated on the left' is most likely true because it matches the characteristics of a right-skewed distribution.