City profile · Kentucky · Census ACS 2023

Lebanon, KY

Lebanon's Census ACS profile: residents, income, housing, and the joined public-record layers available for this place.

6,364
Residents
$39,483
Median income
$130,100
Median home
$984
Median rent (state)
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Side-by-side metrics and state or size-class ranks use the same Census and FBI fields shown on this profile. Results stay in the URL so you can bookmark or share them.

Compare with another city

Starting with Lebanon, KY - add up to three more cities on the compare page.

See how it ranks

State rank, size-class rank, and four peer cities for Lebanon.

Place dossier plate

Sheet KY-LEBANON-KY · Lebanon, KY 6,364 pop · income 7th pct · 6 tracts

POP-TOWN · INC-LOW · COL-BELOW · SAFE-MID · RANK-BOTTOM · PHOTO-FINISH · HOME-LOW · BOOK-FEW

  • POP-TOWN 6,364
  • INC-LOW $39,483
  • COL-BELOW 90.2
  • SAFE-MID 59th pct
  • RANK-BOTTOM 7th
  • PHOTO-FINISH ≈ Brownsville
  • HOME-LOW $130,100
  • BOOK-FEW 6 tracts

Nearest income peer: Brownsville, TN (+ $5 income $)

Instrument codes from this place’s ACS population and household income, BEA state COL, FBI safety, national income percentile, photo-finish peer city, home-value band, and matched Census-tract book - not a moving recommendation.

Income neighbourhood around Lebanon

Lowest/highest poles plus peers nearest Lebanon on median household income. Full ladder: /browse and /rankings.

median HH income

What this shows Neighbourhood peers only - not a full nationwide city board. Open a near peer when the gap is small; open the poles when the spread is wide.

Source U.S. Census Bureau · ACS 5-Year Estimates As of 2026-08-08

Compare beyond this state

Nationwide peers by population, income, and FBI crime rate

Out-of-state nearest neighbors for Lebanon on ACS population and median household income , plus FBI UCR reporting rate when the extract covers this place. Link sets are deduped so each column is a distinct comparison path, not a forecast that peers share a labor market or climate.

Similar population

Nearest out-of-state cities by ACS population. This city: 6,364.

4 peers

Similar household income

Nearest out-of-state cities by ACS median household income. This city: $39,483. Population peers are excluded.

4 peers

Similar FBI crime rate

Nearest out-of-state cities by UCR crimes per 100,000. This city: 1122.1. Population and income peers are excluded.

4 peers

Agency-reported UCR totals per 100,000 population, not a neighborhood safety grade or a prediction of personal risk.

Lebanon - the verdict

Lebanon ranks in the 7th percentile for household income and the 59th percentile for safety nationally, out of every US city with at least 1,000 residents. Source: Census ACS + FBI UCR.

7th
percentile, household income
21st
percentile, home value
10th
percentile, median rent
59th
percentile, safety
📝 How we sourced this

Population, income, and housing-cost figures come from the U.S. Census Bureau American Community Survey 5-year estimates (B-series tables). Crime data uses FBI UCR; climate uses NOAA Climate Normals; school counts come from NCES Common Core of Data; permits use the Census Building Permits Survey (BPS). See our methodology page for the full ETL pipeline and OMB / FIPS join keys.

Data Snapshot: Lebanon, KY

Kentucky's Lebanon is a small town, with 6,364 residents per the latest Census Bureau ACS figures. Households in Lebanon report a median income of $39,483 per year, in the lower quartile of U.S. cities for household income, with a poverty rate of 23.2%. Typical homes in Lebanon are valued around $130,100, and the median resident age is 34.9 years. 8.3% of adults here have a bachelor's degree or higher; 50.9% of working-age residents are in the labor force.

In 2024, 51 residential building permits were authorized in Lebanon (Building Boom), up 183% from five years earlier, per Census BPS data. Lebanon reports a comparatively low crime rate: the FBI's Uniform Crime Reporting program logs 1122.1 total incidents per 100,000 residents here, below the national average (agency reporting is voluntary, so this measures reporting activity, not a definitive danger score).

Living costs in Kentucky run below the national norm: BEA Regional Price Parities 2024 puts Kentucky at 90.2 on a 100-equals-national-average scale (Well Below Average). Statewide, HUD pegs Fair Market Rent for a two-bedroom unit at $984 monthly. Monthly utility costs average around $225 across Kentucky, per EIA 2023 residential energy estimates. On FEMA's National Risk Index, this area rates 44.2 out of 100 for natural-hazard exposure (Low).

A decision-led reading path

Useful questions to ask of Lebanon's data

How this reading path is ordered

This is not a composite city score. It is a city-specific route through the available public records, ordered for this profile so the page starts with questions the joined data can actually answer. The route here runs from reported crime to comparison shortlist to schools and households to housing and income to population change to within-city variation to work and mobility; another city can have a different sequence or fewer supported layers because the source joins are not uniform.

For Lebanon, city-specific coverage includes within-city Census tract profiles, local building permits, commute-mode shares, matched public-school count, FBI reported-crime rates, annual population history. All six city-specific enrichment layers used by this profile are present.

1. Reported crime

What can the FBI record say about safety in Lebanon?

Treat this as a reporting-rate comparison, not a prediction of personal risk or a neighborhood-level safety grade. Tourism, daytime population, reporting practices, and variation inside the city are not adjusted away. The state rank and same-state peer table are the narrower comparisons available on this page.

The joined FBI UCR record reports 1122.1 violent and property crimes per 100,000 residents, below the 2280.5 national reference used here. The difference is 51% lower in arithmetic terms, but agency participation is voluntary and reporting completeness varies.

Review the safety ranking method →

Question 2

Which cities make useful reference points for Lebanon?

Within Kentucky, the closest population matches are Cynthiana (6,412 residents, $49,817 income); Cold Spring (6,298 residents, $80,172 income); Leitchfield (6,434 residents, $47,168 income). Outside the state, the closest population matches in this dataset are Avra Valley, AZ (6,364 residents); Fountainhead-Orchard Hills, MD (6,364 residents); Cherry Hills, CO (6,366 residents). A third, income-matched reference set of 6 out-of-state cities sits in the income neighbourhood chart near the Place Dossier plate. These are mechanical peer sets, not claims that the places share a labor market, climate, culture, or metro context.

Use the in-state set to hold state policy and broad price conditions more nearly constant. Use the nationwide size set to ask whether cities with a similar resident count produce different housing, income, or commute outcomes. The income set is a third lens, deliberately separate from population matching. The nationwide peer panel below adds a fourth FBI UCR reporting-rate lens, not personal risk.

Open a side-by-side comparison →

Question 3

What does the education layer cover for Lebanon?

The NCES join finds 7 public schools within the city match. 8.3% of adults age 25+ hold a bachelor's degree or higher in the ACS estimate. These measures answer different questions: the school count describes local institutions, while adult attainment describes residents and cannot be used as a school-quality rating.

The city has a broader matched school footprint, but count alone does not describe performance, capacity, program availability, or attendance boundaries. This profile deliberately avoids converting it into an unsupported family-friendliness score.

See how the family ranking is built →

4. Within-city variation

What can 6 Census tracts reveal inside Lebanon?

That layer breaks the citywide income, rent, and home-value medians into smaller Census geographies, which can reveal differences that one municipal median necessarily hides. A tract is a statistical area, not a locally defined neighborhood or a promise about conditions on a particular block. Start with the city profile for the broad comparison, then use the tract layer to test whether the same housing and income pattern is consistent across the city. Large within-city spreads are a reason to avoid treating any citywide median as a universal resident experience.

PlainCities matches 6 Census tracts to this city.

Explore Lebanon's tract profiles →

Other supported questions

Why these stay compact

These joined records add useful context, but they do not need another full-size panel. Each remains a separate measure with its own geography and source boundary.

Housing and income

How far does income reach against housing in Lebanon?

The home-value-to-income reference sits in a middle range: the ACS median home value is 3.3 times median household income. The ACS poverty estimate is 23.2%, which keeps the citywide median from describing every household.

This is a citywide price-to-income reference, not a mortgage-affordability test; it does not include interest rates, taxes, insurance, household size, or an individual buyer's down payment. Income and home value move within the same broad scale here. The useful next check is not a generic affordability label, but whether similar-size cities offer a materially different income, housing, or commute trade-off.

Household income
$39,483
Home value
$130,100
Value / income
3.3×

City-level Census ACS 2023 medians. The ratio divides two separate medians and is descriptive only.

Compare the housing trade-off →

Population change

Is Lebanon growing, shrinking, or holding steady?

Recent estimates point upward. Growth can increase housing demand and service needs, but the permit record must move in the same direction before calling it a supply response; the two series measure different things.

Census PEP estimates show the population grew by +405 residents from 2020 to 2025, a +6.4% change. Separately, Census BPS recorded 51 housing units authorized in 2024. PEP and ACS are different Census series, so the trend is kept separate from the headline ACS population.

Period change
+6.4%
2025 estimate
6,699
2020 estimate
6,294

Census Population Estimates Program, 2020–2025; permit context uses Census BPS.

See the national growth ranking →

Work and mobility

What does the journey to work look like in Lebanon?

Mode share answers how workers usually travel; it does not measure congestion, reliability, distance to a particular job, or the quality of transit service. The profile is strongly car-oriented, so a relocation comparison should put trip distance, vehicle access, and household fuel costs ahead of a citywide commute average. The same-state peer links offer a more relevant benchmark than a national label.

Driving alone is the largest reported mode at 89.4%. A reliable mean commute time is not available for this row, so the mode shares carry the comparison.

Public transit
0.0%
Work from home
2.1%
Drive alone
89.4%

City-level Census ACS commuting estimates covering 2,280 workers age 16+.

Compare commute patterns →

Population

6,364 residents

Micro place (under 10k)

Median Household Income

$39,483 /yr

Lowest-decile income · poverty 23.2% (Highest-decile poverty)

Cost of Living Index (state)

90.2 (US=100)

Affordable · BEA RPP 2024, Kentucky average

City profile score · Lebanon, KY

32/100

5 published dimensions · ACS/FBI 2023

Comparative score against U.S. cities with population of 1,000 or more on Census ACS medians (income, poverty, bachelor's share, cost of living) and FBI UCR violent-crime rates when published. Higher means a stronger standing on those published figures, not a livability rating, not a recommendation to move, buy, or pick a "best" city. Missing inputs drop out and redistribute weight. How it is calculated.

Cost of living A
90.2 index

BEA state Regional Price Parities index (100 ≈ national average); lower is stronger on this axis. Same value for every city in the state.

Violent crime C
152 /100k

FBI UCR violent offenses per 100,000 residents; lower is stronger on this axis.

Poverty rate F
23.2%

Share of residents below the poverty line; lower scores better on this axis.

Household income F
$39,483

Median household income vs U.S. cities (pop ≥1,000); ACS.

Bachelor's+ share F
8.3%

Adults with a bachelor's degree or higher; ACS.

Lebanon profile (scored ACS/FBI dimensions) 5-axis radar comparing 1 series across Cost of living, Violent crime, Poverty rate, Household income, Bachelor's+ share. Cost of livingViolent crimePoverty rateHousehold incomeBachelor's+ share 32 F
Lebanon profile (scored ACS/FBI dimensions)
Read the chart values
  • Cost of living: 85/100 (A) · 90.2 index
  • Violent crime: 58/100 (C) · 152 /100k
  • Poverty rate: 8/100 (F) · 23.2%
  • Household income: 6/100 (F) · $39,483
  • Bachelor's+ share: 2/100 (F) · 8.3%

Where Lebanon sits on home value vs crime among peer cities

Lebanon's median home value and FBI crime rate plotted with similar-size and same-state peers (padded with large cities when the peer set is thin). The second read: pricey does not always mean safer, check which quadrant this city lands in.

Census ACS median home value vs FBI UCR crime rate - Lebanon highlighted among 9 peers. 2×2 strategic matrix plotting 9 entities by Median home value ($) (X) and Crime rate (per 100k, lower = safer) (Y), with a crosshair dividing the plot into four quadrants. Pricier, lower crimeAffordable, lower crimePricier, higher crimeAffordable, higher crime $0$100,000$200,000$300,000$400,000$500,000$600,000 5001,0001,5002,0002,5003,000 Median home value ($) Crime rate (per 100k, lower = safer) Lebanon, KYChickasaw, ALWard, ARFoxborough, MACynthiana, KYCold Spring, KYLeitchfield, KYPrinceton, KYHighland Heights, KY
Census ACS median home value vs FBI UCR crime rate - Lebanon highlighted among 9 peers.
Read the chart values
  • Lebanon, KY (this city): home $130,100, crime 1,122/100k
  • Chickasaw, AL : home $110,300, crime 2,586/100k
  • Ward, AR : home $182,100, crime 1,351/100k
  • Foxborough, MA : home $523,200, crime 899/100k
  • Cynthiana, KY : home $154,700, crime 1,394/100k
  • Cold Spring, KY : home $235,200, crime 1,976/100k
  • Leitchfield, KY : home $156,700, crime 1,389/100k
  • Princeton, KY : home $89,700, crime 1,733/100k
  • Highland Heights, KY : home $148,600, crime 1,045/100k

How does Lebanon compare to other US cities?

Where Lebanon sits among all US cities (population 1,000+) on each measure, computed live from Census and FBI data.

Household income 7% higher than other cities
Home value 21% pricier than other cities
Median rent 10% pricier than other cities
Safety 59% safer than other cities

"Safer than" reflects total crime rate from FBI UCR; the others use Census ACS estimates.

Zoom in to just Kentucky and the picture shifts: Lebanon ranks #122 of 181 Kentucky cities by lowest crime rate, a different read than the national percentile above.

How we calculate these percentiles & ranks

Each percentile compares Lebanon against every qualifying US city; each in-state rank narrows that to Kentucky only. Full formula and direction notes: methodology.

Kentucky-relative analysis

Median Gross Rent places Lebanon near the bottom of Kentucky's cities

Among the 520 Kentucky cities PlainCities tracks with reported median gross rent data, Lebanon ranks #1 - the 0th percentile within the state. This is a different, narrower cut than the nationwide percentiles above: it compares Lebanon only against its own state's cities, not the full US field.

Median Household Income
#380 of 485
22nd percentile in Kentucky
Median Gross Rent
#1 of 520
0th percentile in Kentucky
Median Home Value
#273 of 484
44th percentile in Kentucky
Poverty Rate
#112 of 519
78th percentile in Kentucky
Bachelor's Degree or Higher
#417 of 520
19th percentile in Kentucky
How in-state ranks are ordered

Ranked by raw value (highest first); a higher rank is not automatically "better" for every measure, see each metric's own context above. This is a comparison within Kentucky only, not a livability score. See the methodology for the source and calculation.

7thIncome percentile
59thSafety percentile
Gauge source note

7th percentile nationally for median household income · 59th percentile for safety (lower crime rate). Source: Census ACS 2023 / FBI UCR 2023.

Lebanon's profile vs. every US city

Income, affordability, and safety percentile

Lebanon's percentile rank on 3 favorable-direction measures (income, affordability, safety) vs. every tracked US city -- higher on every axis is more favorable. Not a composite quality score, just the arithmetic mean of the axes shown. 3-axis radar comparing 1 series across Income, Affordability, Safety. IncomeAffordabilitySafety 50 Avg. percentile National median
Lebanon's percentile rank on 3 favorable-direction measures (income, affordability, safety) vs. every tracked US city -- higher on every axis is more favorable. Not a composite quality score, just the arithmetic mean of the axes shown.

How Lebanon's home value compares nationally

Median home value vs. every US city (population 1,000+)

$130,100 Among the most affordable more affordable than 79% of 15,600 US cities

Show national distribution $0–$25,000: 5 US cities (0%). Below this entry. $25,000–$50,000: 54 US cities (0%). Below this entry. $50,000–$75,000: 352 US cities (2%). Below this entry. $75,000–$100,000: 1,086 US cities (7%). Below this entry. $100,000–$125,000: 1,516 US cities (10%). Below this entry. $125,000–$150,000: 1,170 US cities (8%). This entry sits in this band. $150,000–$175,000: 1,278 US cities (8%). Above this entry. $175,000–$200,000: 1,229 US cities (8%). Above this entry. $200,000–$225,000: 1,035 US cities (7%). Above this entry. $225,000–$250,000: 976 US cities (6%). Above this entry. $250,000–$275,000: 754 US cities (5%). Above this entry. $275,000–$300,000: 712 US cities (5%). Above this entry. $300,000–$325,000: 521 US cities (3%). Above this entry. $325,000–$350,000: 526 US cities (3%). Above this entry. $350,000–$375,000: 465 US cities (3%). Above this entry. $375,000–$400,000: 393 US cities (3%). Above this entry. $400,000–$425,000: 317 US cities (2%). Above this entry. $425,000–$450,000: 300 US cities (2%). Above this entry. $450,000–$475,000: 307 US cities (2%). Above this entry. $475,000–$500,000: 250 US cities (2%). Above this entry. $500,000–$525,000: 160 US cities (1%). Above this entry. $525,000–$550,000: 156 US cities (1%). Above this entry. $550,000–$575,000: 172 US cities (1%). Above this entry. $575,000–$600,000: 172 US cities (1%). Above this entry. $600,000–$625,000: 163 US cities (1%). Above this entry. $625,000–$650,000: 167 US cities (1%). Above this entry. $650,000–$675,000: 135 US cities (1%). Above this entry. $675,000–$700,000: 101 US cities (1%). Above this entry. $700,000–$725,000: 95 US cities (1%). Above this entry. $725,000–$750,000: 71 US cities (0%). Above this entry. $750,000–$775,000: 65 US cities (0%). Above this entry. $775,000–$800,000: 70 US cities (0%). Above this entry. $800,000–$825,000: 57 US cities (0%). Above this entry. $825,000–$850,000: 67 US cities (0%). Above this entry. $850,000–$875,000: 60 US cities (0%). Above this entry. $875,000–$900,000: 58 US cities (0%). Above this entry. $900,000–$925,000: 47 US cities (0%). Above this entry. $925,000–$950,000: 37 US cities (0%). Above this entry. $950,000–$975,000: 31 US cities (0%). Above this entry. $975,000–$1,000,000: 470 US cities (3%). Above this entry. $1,000,000–$1,025,000: 0 US cities (0%). Above this entry. Lebanon $0 $1,025,000 every US city, bucketed by value

Each bar is a $25K-wide band; taller bars hold more US cities. The dashed line + filled bar mark this entry. Hover or tap any bar for its full count, share, and where it sits relative to this entry.

Source U.S. Census Bureau ACS 5-Year Estimates · 2023

Lebanon's home-value-to-income ratio: 3.3×

ACS median home value divided by median household income.

Band
moderate
3.0–5.0×
National rank
#8,105 of 15,516
More affordable than 48% of tracked cities (pop. 1,000+)
Size class
#6,640 of 11,323
Micro cities (under 10,000)

At 3.3×, Lebanon sits in the moderate band: national rank #8,105 of 15,516 and #6,640 of 11,323micro cities (under 10,000). Income and home value move in the same broad scale; check same-state peers before treating the multiple as an advantage or a warning.

How this ratio is calculated

Ratio = Census ACS 2023 median home value ÷ median household income for cities with both fields and population ≥ 1,000. Rank 1 = lowest ratio (most compact). Bands match the fleet affordability thresholds used on guides (<3.0 / 3.0–5.0 / >5.0). This is not a mortgage payment estimate and does not include rates, taxes, insurance, or down payment.

Income distribution context

$39,483 Lebanon, KY median household income (Census ACS)

Show U.S. national quintile / Lorenz context Household income distribution - Lebanon, KY Lebanon, KY's median household income ($39,483) against the U.S. national quintile-share pattern. The Lorenz curve and quintile bars are national context, not Lebanon, KY-specific shares. $ Household Income Distribution Lebanon, KY median $39,483/yr, vs. U.S. national quintile pattern QUINTILE SHARE OF AGGREGATE INCOME Lowest 20% 3.4% Second 20% 9.2% Middle 20% 15.1% Fourth 20% 23.2% Top 20% 49.1% LORENZ CURVE cumulative income vs. population 100% 0% 100% pop. 0%
Lebanon, KY median household income (Census ACS 5-year) with U.S. national quintile shares for context. Diagonal = equality; the curve is national, not computed for Lebanon, KY.

Key socioeconomic indicators

Bachelor's degree or higher (adults 25+) 8.3%

Census ACS S1501, educational attainment

Poverty rate (households below FPL) 23.2%

Census ACS S1701, poverty status

Labor force participation (adults 16+) 50.9%

Census ACS S2301, share of working-age residents in the labor force

Population
6,364
Median Income
$39,483
Median Home Value
$130,100
Median Age
34.9
Poverty Rate
23.2%
Labor force participation
50.9%
Bachelor's Degree+
8.3%

Safety & Crime

Total Crime Rate
1122.1
per 100,000 residents
Violent Crime
151.6
per 100,000 residents
Property Crime
970.4
per 100,000 residents
Crime reporting caveat

Reflects incidents reported to the FBI's Uniform Crime Reporting program — agency participation is voluntary and reporting completeness varies by jurisdiction and year, so this reflects reporting activity, not a definitive danger score. Not adjusted for tourism, commuter, or daytime population.

Schools

Total Schools
7
Public schools in this city

Population Change

PEP vintage

Annual U.S. Census Bureau Population Estimates Program (PEP) estimates, 2020–2025

See the fastest-growing cities →
6,200 residents6,400 residents6,600 residents6,800 residents 202020212022202320242025 6,294 residents 6,699 residents ▲ +6.4%
Lebanon's Census PEP population estimates, 2020–2025.
Read the chart as text
Period Population
2020 6,294 residents
2021 6,385 residents
2022 6,416 residents
2023 6,509 residents
2024 6,609 residents
2025 6,699 residents

Housing Supply

BPS source

Census Bureau Building Permits Survey (BPS) - annual residential permits authorized

📈 Building Boom
Total Permits (2024)
51
housing units authorized
Single-Family
34
detached homes
Multifamily
17
apartments & condos
Supply Intensity
8
permits per 1,000 residents

5-Year Permit Trend (2019–2024)

Year Total
2019 18
2020 58
2021 39
2022 50
2023 38
2024 51

Permit volume increased 183% from 2019 to 2024.

Commute Patterns

Commute source

How workers travel to work, Census ACS 2023

Drive Alone
89.4%
Carpool
5.5%
Public Transit
0.0%
Walk
0.5%
Work from Home
2.1%
Other
2.5%

Based on 2,280 workers 16 and over.

Monthly Utility Costs

Kentucky statewide monthly utility average (EIA 2023): $225

EIA 2023 residential energy data puts average monthly utilities across Kentucky at $225 (electricity about $115 , water and sewer about $40 ).

These are Kentucky statewide averages, not a meter reading for Lebanon. Actual bills vary by home size, usage, and local rates. Source: U.S. Energy Information Administration (EIA) 2023.

Living Costs & Risk

Kentucky's BEA cost-of-living index is 90.2 (Well Below Average; US average = 100, RPP 2024). HUD Fair Market Rent for a typical two-bedroom in the county around Lebanon is $984/mo. FEMA's National Risk Index, averaged to Kentucky statewide on PlainCities, rates natural-hazard exposure at 44.2 / 100 (Low).

Cost/risk geography note

Cost of living is a Kentucky statewide BEA average; rent is a county-level HUD Fair Market Rent for the county Lebanon sits in; the FEMA hazard score shown here is a statewide average of county NRI inputs, not a parcel-level reading.

How Lebanon compares to similar-size Kentucky cities

Same-state peer method

Closest same-state population matches, not geographic neighbors. Population + median household income come from Census Bureau ACS 5-year B01001 and B19013.

City Population Median Household Income
Lebanon (this city) 6,364 $39,483
Cynthiana 6,412 $49,817
Cold Spring 6,298 $80,172
Leitchfield 6,434 $47,168
FBI UCR NCES CCD Census BPS 2024
Primary sources on this page

Source: U.S. Census Bureau ACS 5-Year 2023, FBI UCR, NCES CCD, Census BPS 2024, Census ACS B08301/B08136, U.S. Energy Information Administration (EIA) 2023, BEA Regional Price Parities 2024, HUD Fair Market Rents 2026, FEMA National Risk Index.

Citation & verification links Data sourced from the U.S. Census Bureau. See our methodology for details. Retrieved and formatted by PlainCities

Primary sources: Census ACS, FBI UCR, NOAA Climate Normals, NCES. Joins use OMB Bulletin 23-01 / FIPS keys.

Browse all city profiles → · Explore city rankings →

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Estimate caveats

ACS and UCR figures are citywide estimates with vintage lags; they do not replace a local visit, school visit, or insurance quote.

Editorial standards, provenance, and how to cite this page

Every figure on PlainCities is rendered directly from Census ACS source data, no number is typed in by an editor. This page draws directly on Census ACS source data, no figure is typed in by an editor. See our editorial standards & corrections policy, the methodology behind these numbers, or report a data error.

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