Population density is population divided by area. Combine populations and areas before finding a combined density; do not average unequal-area districts' densities without weighting. A regional average does not describe every neighborhood.
Worked example
Districts with 100 people over 1 square km and 900 over 9 square km together have 1,000/10 = 100 people per square km. Always keep the population and area boundaries consistent.
Invented District Data
North District has 12,000 residents and area 20 square km. South District has 18,000 residents and area 60 square km. The districts do not overlap and together make up the whole study region. No neighborhood-level data is provided.