Combine Regions before Finding Density - Practice 1

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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 160 people in 2 square km; B has 440 in 4 square km. What is the combined density per square km? Answer

Question 2 Fictional adjoining regions: A has 270 people in 3 square km; B has 610 in 5 square km. What is the combined density per square km? Answer

Question 3 Fictional adjoining regions: A has 400 people in 4 square km; B has 800 in 6 square km. What is the combined density per square km? Answer

Question 4 Fictional adjoining regions: A has 550 people in 5 square km; B has 1010 in 7 square km. What is the combined density per square km? Answer

Question 5 Fictional adjoining regions: A has 720 people in 6 square km; B has 1240 in 8 square km. What is the combined density per square km? Answer