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Math Help - Population Density Help

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    Population Density Help

    Basically I downloaded some information from that lists population density per a census block group, but their population density calculation doesn't seem to be correct.

    Census block ID: 480019501001
    total population: 1,437
    area: 1824095459 In UNKNOWN units
    population density: 22.5 In UNKNOWN units

    The calculation for population density \frac{TotalPopulation}{Area}. Population density is usually in KM or Miles.

    I am assuming 1824095459 is in square feet, because anything else wouldn't make sense.

    So converting 1824095459 ft to miles = 1824095459/5280= plug into population density equation = .004159519 Population density of people per mile

    converting 1824085459 ft to KM = 1824095459/3280.8399= plug into population density equation = .002584605 Population density of people per KM

    Neither one of these answers is the 22.5 in unknown units figure they listed as the answer for this block group.

    Where did I/they make the mistake?
    Last edited by allyourbass2212; October 23rd 2009 at 06:49 AM.
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    Quote Originally Posted by allyourbass2212 View Post
    Basically I downloaded some information from that lists population density per a census block group, but their population density calculation doesn't seem to be correct.

    Census block ID: 480019501001
    total population: 1,437
    area: 1824095459 In UNKNOWN units
    population density: 22.5 In UNKNOWN units

    The calculation for population density \frac{TotalPopulation}{Area}. Population density is usually in KM or Miles.

    I am assuming 1824095459 is in square feet, because anything else wouldn't make sense.

    So converting 1824095459 ft to miles = 1824095459/5280= plug into population density equation = .004159519 Population density of people per mile

    converting 1824085459 ft to KM = 1824095459/3280.8399= plug into population density equation = .002584605 Population density of people per KM

    Neither one of these answers is the 22.5 in unknown units figure they listed as the answer for this block group.

    Where did I/they make the mistake?
    Hi allyourbass2212,

    To convert square feet to square miles:

    1824095459 \cdot \frac{1 \ \ mi^2}{5280^2}=65.4 \ \ mi^2

    But, that doesn't give you the right density.

    \frac{1437}{65.4}=21.9

    Similiarly, 1824095459 square feet = 169.5 square km.

    That yields a density of about 8.5.

    So, I don't know. You might work with square meters and see what happens.
    Last edited by masters; October 23rd 2009 at 09:41 AM. Reason: misspelled "yields"
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    I suppose my original calculation was incorrect because I did it for ft and not square ft?
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    Quote Originally Posted by allyourbass2212 View Post
    I suppose my original calculation was incorrect because I did it for ft and not square ft?
    Yes, you have to divide 1824095459 by 5280^2.

    Here's a converter for you: CalculateMe.com - Convert Square Feet to Square Miles
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