1. **State the problem:** We are given a data set with mean = 26.5, median = 29.0, and mode = 31.7. We need to determine the skewness of the data. 2. **Recall the relationship between mean, median, and mode for skewness:** - If mean < median < mode, the distribution is left skewed (negatively skewed). - If mean = median = mode, the distribution is symmetrical (normal). - If mode < median < mean, the distribution is right skewed (positively skewed). 3. **Compare the given values:** - Mean = 26.5 - Median = 29.0 - Mode = 31.7 We see that mean < median < mode. 4. **Interpretation:** Since mean < median < mode, the data is left skewed. **Final answer:** The data set is left skewed. **Answer choice:** A. Left skewed