Set P contains 2, 3, 4 and 10, and Set Q contains 2, 9, 9 and 10. Which statements about the ranges of these two sets are true? Select all that apply.
Set P has the smaller range, because its middle values are closer together.
Set P has a range of 8.✓Richtige Antwort
Set Q has the smaller range, because its values are clustered near 9.
Set Q has a range of 8.✓Richtige Antwort
The two sets have the same range.✓Richtige Antwort
Erklärung
Both sets run from 2 up to 10, so each has a range of 10 - 2 = 8 despite looking very different in between. Expecting the more tightly clustered set to score a smaller range assumes that every value affects the answer, yet a range never looks at what lies between the two extremes.