1. **State the problem:** We have 710 high school seniors surveyed about owning automobiles and motorcycles. 2. **Given data:** - Total surveyed: 710 - Own automobile: 140 - Own motorcycle: 86 - Own both: 24 3. **Understanding Venn diagram:** - The overlapping region represents those who own both vehicles. - The numbers in each circle include those who own only that vehicle plus those who own both. 4. **Calculate only automobile owners (excluding both):** $$\text{Only automobile} = 140 - 24 = 116$$ 5. **Calculate only motorcycle owners (excluding both):** $$\text{Only motorcycle} = 86 - 24 = 62$$ 6. **Calculate neither (outside both circles):** $$\text{Neither} = 710 - (116 + 62 + 24) = 710 - 202 = 508$$ 7. **Summary of Venn diagram numbers:** - Only automobile: 116 - Only motorcycle: 62 - Both: 24 - Neither: 508 This completes the Venn diagram distribution.