Common Core: S-ID.3
Problem 6 of 25sta-006
The hourly wages of 5 workers are $12, $16, $20, $24, and $28. A manager who earns $56 per hour is added to the list. Which statement about the 6 wages is true?
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Solution walkthrough1:44
- Start with the 5 wages. Mean: . Median: the middle of five values, also .
- Add . The total becomes , so the new mean is .
- Six values have two in the middle, and . New median: .
- The mean rose by . The median rose by . The mean increased more.
- Trap: the median resists extreme values, but it still moved, because six values have a new middle.