Form 10: Impact of Outliers Exercise

Form 10: Impact of Outliers

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Form 10: Impact of Outliers

Examine how extreme values affect the mean and median of a data set. Practice identifying outliers and understanding their impact.

Questions

  1. MultiChoice

    If a very high number is added to a dataset, what happens to the mean?

  2. MultiChoice

    If a very low outlier is added to a dataset, what happens to the mean?

  3. MultiChoice

    Dataset: 2, 4, 4, 6, 104. Find the mean and median.

  4. MultiChoice

    Which measure is MOST sensitive to extreme outliers?

  5. MultiChoice

    Which measure of center is LEAST affected by extreme outliers?

  6. MultiChoice

    Dataset: 10, 15, 20 (mean = 15). If 0 is added, what happens to the mean?

  7. MultiChoice

    Original data: 10, 20, 30 (mean = 20). Replace 30 with 100. By how much does the mean increase?

  8. MultiChoice

    Dataset: 1, 5, 9 (median = 5). Add 100 to dataset: 1, 5, 9, 100. What happens to the median?

  9. MultiChoice

    Which value in the dataset 10, 12, 14, 15, 90 is an outlier?

  10. MultiChoice

    When an outlier that is much lower than the rest is removed, what happens to the mean?

  11. MultiChoice

    Data: 20, 20, 20 (mean = 20). If 0 is added, what happens to the mean?

  12. MultiChoice

    Dataset: 7, 7, 8, 9 (mode = 7). If 100 is added, what happens to the mode?