1. **Problem:** A new student with a test score of 8 joins a group whose mean score is 344 and median score is 335. We need to find the new mean and median positions (lines A, B, C, or D) after including this outlier. 2. **Mean after adding the new score:** - The mean is the average of all scores. - Adding a very low score (8) to a group with scores clustered near 320+ will pull the mean down significantly. - Since the original mean was 344, the new mean will be less than 344 but still above the low outlier. - Among lines A (near 80), B (near 160), C (near 320), and D (near 320), the mean will shift closer to B (160) but not as low as A (80). 3. **Median after adding the new score:** - The median is the middle value when all scores are ordered. - Adding one low score (8) to an even number of scores shifts the median slightly but not drastically. - The median will remain near the cluster around 320, so lines C or D (both near 320) are likely. 4. **Descriptive statistics affected by outliers:** - Average (mean) is strongly affected by outliers. - Median is resistant to outliers. - Range is affected by outliers since it depends on minimum and maximum values. - Mode is not affected by outliers. 5. **When to throw out or change the outlier:** - If the new student had a bad cold affecting performance. - If the data was misread or sent for the wrong test. - If the student is not intending to go to college, the data point might be less relevant. **Final answers:** - Question 1: Line B - Question 2: Line C or D (choose C for clarity) - Question 3: Average and Range - Question 4: The new student had a bad cold, data misread, wrong test sent