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The image contains questions about the examination results of a group of 20 Year 10 students for History and Geography. Let's break down each part of the task based on what I can see:

1. **Stem-and-Leaf Plot Construction (a)**:
   You have already started constructing a back-to-back stem-and-leaf plot for History and Geography scores, which is correct based on the given data. The plot shows the tens digits as stems and the ones digits as leaves. It's important to align the numbers properly on either side of the stem for clarity.

2. **Distribution Description (b)**:
   You are asked to comment on the distribution of scores for each exam, focusing on **skewness**. Skewness tells us about the asymmetry of the distribution of values. 
   - A **positive skew** indicates that the tail on the right side (higher values) is longer or fatter than the left.
   - A **negative skew** indicates that the tail on the left side (lower values) is longer or fatter.

3. **Choosing a Central Measure (c)**:
   The question asks which central measure (mean, mode, or median) would be most appropriate for comparing the results and why. Generally:
   - **Mean** is useful when there are no extreme values, as it gives the overall average.
   - **Median** is preferred when the distribution is skewed or has outliers since it is not affected by extreme scores.
   - **Mode** is relevant when data has repeating values that dominate.

Would you like a detailed solution or help with any specific part of this problem?

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Here are five questions that expand on this information:
1. How would you complete the stem-and-leaf plot for the remaining data points?
2. Can you calculate the mean, median, and mode for both History and Geography scores?
3. How would you describe the skewness for both History and Geography based on the stem-and-leaf plot?
4. If the distribution is skewed, would using the median provide a better representation than the mean?
5. What impact do outliers have on the central measures in this dataset?

**Tip**: The median is often the best measure of central tendency when dealing with skewed distributions.

The examination results of a group of 20 Year 10 students for History and Geography. Tasks include constructing a back-to-back stem-and-leaf plot, describing the distribution with skewness, and selecting a central measure (mean, mode, median) to compare the results.

Examine a group's exam results for History and Geography using a back-to-back stem-and-leaf plot, analyze the skewness of the distribution, and determine which central measure (mean, mode, median) best represents the results. Suitable for students in Grades 9-10.

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