Combine Regions before Finding Density - Practice 2

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For a combined population density, add populations and add areas, then divide. An unweighted mean of district densities is wrong when district areas differ. These are fictional regions with non-overlapping boundaries.

Worked example

Region A: 100 people in 1 square km; B: 500 in 3. Combined density is 600 / 4 = 150, not (100 + 500/3)/2.

Three equal-area cells contain different numbers of symbolic dots to show uneven settlement. A separate worked calculation gives 600 people in three square kilometers, averaging 200 per square kilometer. Dots are not individual people counts.

Question 1 Fictional adjoining regions: A has 910 people in 7 square km; B has 1490 in 9 square km. What is the combined density per square km? Answer

Question 2 Fictional adjoining regions: A has 1120 people in 8 square km; B has 1760 in 10 square km. What is the combined density per square km? Answer

Question 3 Fictional adjoining regions: A has 1350 people in 9 square km; B has 2050 in 11 square km. What is the combined density per square km? Answer

Question 4 Fictional adjoining regions: A has 1600 people in 10 square km; B has 2360 in 12 square km. What is the combined density per square km? Answer

Question 5 Fictional adjoining regions: A has 1870 people in 11 square km; B has 2690 in 13 square km. What is the combined density per square km? Answer