Mathematics I / Descriptive Statistics
Practice question · Select all that apply

In the dataset 2, 4, 4, 5, 10 the largest value is changed from 10 to 100. Select every statistic that changes as a result.

Hints
  1. Recompute the ordering: does the value's position in the sorted list change?
  2. Only statistics that use the magnitude of the largest value can react.
Show the answer
  • A. Standard deviation
  • B. Mean
  • C. Range
Why

The mean rises from 5 to 23, the range from 8 to 98, and the spread balloons. The median stays 4 (the third of five sorted values, and 100 is still last) and the mode stays 4. This single edit is a compact demonstration of robustness.

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