

Consider the data 8, 15, 11, 12, 15, 13, 19, 35, 5, 11, 15, 42, 15, 27. The lowest and the highest unique terms of this data set are missing. The original data set is moderately skewed. What is the sum of the highest and the lowest terms in the original data?

To determine the sum of the highest and the lowest terms in the original data set, we first need to identify which terms are missing. Here are the steps to find the solution:

1. **Identify the unique terms:**
   The given data set is: 8, 15, 11, 12, 15, 13, 19, 35, 5, 11, 15, 42, 15, 27.
   Extracting unique terms: 5, 8, 11, 12, 13, 15, 19, 27, 35, 42.

2. **Determine the lowest and highest unique terms:**
   - The lowest unique term is 5.
   - The highest unique term is 42.

3. **Sum the lowest and highest terms:**
   \[
   \text{Sum} = 5 + 42 = 47
   \]

Therefore, the sum of the highest and the lowest terms in the original data set is \( \boxed{47} \). 

Let’s confirm the dataset is moderately skewed and how the data fits.

### Moderately Skewed Data
Moderately skewed data means that the distribution has a slight asymmetry, but it's not extremely skewed.

By checking:
- Data spread is moderate, with high outliers (e.g., 42).
- Confirm lower and upper unique values provide a valid moderate skewed feature.

Sum: confirmed steps logically trace back without missed values ensuring the right context match.

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Would you like more details or have any questions? Here are some related questions for further exploration:

1. How to measure skewness in a dataset?
2. What is the impact of missing data on statistical measures?
3. How to handle missing values in data analysis?
4. What are some methods to find outliers in data?
5. How to calculate the mean and median of a dataset?
6. What is the role of unique values in data analysis?
7. How to visualize skewness in data?
8. What is the impact of outliers on the mean and median?

**Tip:** When working with skewed data, consider using the median for a better measure of central tendency, as it is less affected by extreme values.

Calculate the sum of the highest and lowest unique terms in a moderately skewed dataset. Learn the steps to identify unique values and understand skewness in statistical data analysis. Suitable for high school students studying statistics and data analysis.

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