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Median household income (model-based) and Average test score

Across 2,756 counties, Median household income (model-based) and Average test score have a link of +0.58, on a scale from −1 (opposite) to +1 (in step). But compare places with the same population density, income and education, and a very weak link of +0.11 remains. Most of the first figure came from both measures following how urban, rich and educated a place is, not from a link with each other.

Mostly gone after adjusting

Every place, plotted

One dot for each place reporting both measures. Hover over or tap a dot to see its name and values. The thin line is the straight line that best fits the dots. The bold line, shown for counties, is the link after adjusting for density, income and education. A dot far from the lines is a place that does not follow the pattern.

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What each measure is

Median household income (model-based)

The income of the middle household. It is an estimate from a statistical model that combines survey answers with tax and government-program records.

Census SAIPE · Census SAIPE SAEMHI_PT

Average test score

How far above or below the national average children here score on tests, in grade levels. Minus one means about a year behind. It reflects everything in children's lives, not only their schools.

Stanford Education Data Archive · SEDA cs_mn_avg_ol

Highest and lowest

Where each measure is highest and lowest among the places reporting both (2023), with the other measure beside it. This is shown for every size of place where both are published. Metro-area values are added up from their counties. A measure that cannot be added up across counties, such as a middle value (median), has no metro figure. Counts are shown per 1,000 residents, since raw totals would only list the largest places. Cities and towns and ZIP codes are shown where the Census survey or the CDC publishes them; most other sources stop at the county. They are shown for places of 5,000 residents or more, and only where the survey’s margin of error is small enough for the figure to be usable. The CDC publishes its health estimates for cities in a version adjusted for age, so places with older or younger people can be compared fairly, but not for ZIP codes.

Counties

By median household income (model-based)

Median household income (model-based)Average test score
Highest
Loudoun County, VA$173,6600.405
Santa Clara County, CA$154,5700.194
San Mateo County, CA$151,0000.087
Los Alamos County, NM$146,2100.543
Falls Church city, VA$145,7600.562
Lowest
Claiborne County, MS$28,579-0.61
Holmes County, MS$30,542-0.835
Humphreys County, MS$31,538-0.844
Leflore County, MS$33,945-0.598
Perry County, AL$34,176-0.785

By average test score

Median household income (model-based)Average test score
Highest
Skagway Municipality, AK$79,4120.738
Forsyth County, GA$136,3500.713
Norfolk County, MA$123,4500.652
Morris County, NJ$134,3100.627
Williamson County, TN$136,0100.621
Lowest
Kusilvak Census Area, AK$42,029-1.31
Bethel Census Area, AK$62,140-1.27
Todd County, SD$50,268-1.21
St. Helena Parish, LA$46,835-1.16
Sioux County, ND$46,931-1.15
States — Average test score is not published for states

By median household income (model-based)

Median household income (model-based)Average test score
Highest
District of Columbia$104,640—
Massachusetts$99,750—
New Jersey$99,716—
Maryland$98,568—
New Hampshire$97,031—
Lowest
Mississippi$54,386—
West Virginia$55,875—
Louisiana$58,273—
Arkansas$58,748—
Kentucky$61,099—
Metro areas — Median household income (model-based) is not published for metro areas

By average test score

Median household income (model-based)Average test score
Highest
Vineyard Haven, MA—0.583
North Platte, NE—0.553
Los Alamos, NM—0.543
Sheridan, WY—0.536
Lewisburg, PA—0.521
Lowest
Forrest City, AR—-0.774
Shawano, WI—-0.756
Selma, AL—-0.724
Clarksdale, MS—-0.69
Eufaula, AL-GA—-0.647

Counties furthest from the pattern

Compared with the straight line that best fits all 2,772 counties: the five with far more average test score than their median household income (model-based) would suggest, and the five with far less.

Median household income (model-based)Average test score
Above the line
Skagway Municipality, AK$79,4120.738
Hooker County, NE$53,0100.435
Logan County, NE$66,3330.553
Wibaux County, MT$56,1080.409
Polk County, NC$59,0120.435
Below the line
North Slope Borough, AK$103,560-0.952
Bethel Census Area, AK$62,140-1.27
Kusilvak Census Area, AK$42,029-1.31
Northwest Arctic Borough, AK$78,619-0.973
Todd County, SD$50,268-1.21

Two series, one county

Both measures over time for a county you pick. The two charts are stacked, so they share only the years along the bottom. You can pick from the thirty largest counties reporting both. This panel covers 2010–2024, and a measure published only once shows as a single dot.

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Every version of the link

Each row measures the same link, from −1 to +1, in a different way. If the rows mostly agree, the link does not depend on one choice of method.

Before adjusting for anything+0.5772,756 counties reporting both
After adjusting for density, income and education+0.113the part of the link that is not just how urban, rich and educated a place is
Also adjusting for population size+0.134size taken out as well as density
Also comparing only within each state+0.131each county is compared only with others in its own state, so this is no longer a comparison between states
Giving bigger counties more weight+0.025the adjusted link for the average resident rather than the average county. With this weighting, the data counts for about 267 equally weighted counties
Middle value inside single states+0.599the link worked out inside each of 38 states with at least 20 counties reporting
Using ranks, after adjusting+0.167uses each county’s rank, not its value, so a few extreme counties cannot create the link

How much to believe it

Could it be chance?

The p-value is the chance of seeing a link this strong if there were really none. A value of 0.05 or less means the link is unlikely to be chance. Very small values are written in short form: 3.1e-16 means 0.00000000000000031, and the bigger the number after “e-”, the smaller the value. Treating every county as a separate case gives p = 3.1e-9. But counties in the same state tend to resemble each other, so the better figure allows for that: p = 1.3e-5. The site tested 20,910 pairs, and testing so many turns up some flukes. The q-value allows for that too. For this pair it is 6.9e-9.

Do nearby places look alike?

Moran’s I measures how much nearby places look alike: 0 means no map pattern, and higher means neighbours are more similar. For the part of each county that the adjustment leaves unexplained, it is +0.48 (p = 0.001). That unexplained part still clusters on the map. So some regional factor shared by both measures is not accounted for.

Did they change together?

Not measurable: at least one of these is published for too few of the years a change needs (2014–2019 or 2019–2023), or for too few counties in both.

Related pairs

Association only. Nothing here shows that either measure changes the other. This describes counties, not the people in them. Two measures going together across places does not mean the same people have both. How the US county data works · Explore Median household income (model-based) and Average test score