ACS 2009 5-Year Adjusted Standard Quality Rent Calculation for
Hughes County, SD

The following information provides details on how the 2009 ACS 5-Year Adjusted Standard Quality 40th Percentile Rent of $542 was developed for Hughes County, SD using the publically releasable distributions from the 2009 ACS.

User Note

The standard quality rents that HUD uses in generating FMRs are derived from rent distributions that are prohibited from public release under Title XIII to protect the confidentiality of respondents. The distributions used in this demonstration are rounded versions of the actual, protected data.

The rounding scheme is as follows:

0, count = 0
1 to 7, count = 4
all other counts are rounded to the nearest 5 (e.g., 10, 15, 20, 25, etc.)

CALCULATIONS USING THE ROUNDED DATA MAY NOT PRODUCE THE SAME RESULT AS CALCULATIONS USING THE PROTECTED DATA. THE DIFFERENCE BETWEEN HUD'S ACTUAL RESULTS AND THOSE DEMONSTRATED HERE IS INVERSELY RELATED TO THE SIZE OF THE AREA. THAT IS, THE LARGER THE AREA, THE CLOSER THE CALCULATION BASED ON THE ROUNDED DATA IS LIKELY TO BE TO THE CENSUS BASE RENT COMPUTED FROM THE PROTECTED DATA.


Standard Quality Rents

HUD uses rents for standard quality units to generate update factors. "Standard Quality" units and rents are determined by limiting the full ACS sample by including only responses meeting the following criteria:

a. Occupied rental units paying cash rent
b. Specified renter ? on 10 acres or less
c. With full plumbing
d. With full kitchen
e. Not constructed in the last 2 years from the survey date
f. Meals not included in rent

The 2009 ACS did not included a question that could be used to filter public or assisted housing from the rental distributions, however HUD is required to ensure that FMRs exclude non-market rental housing in their computation. Therefore, HUD excludes all units falling below a specified rent level determined from public housing rents in HUD's program databases as likely to be either assisted housing or otherwise at a below-market rent (perhaps due to quality problems not otherwise captured by the survey questions).

The "public housing" rent cut-off for Hughes County, SD in 2009 is $311.

Note: For a discussion of the derivation of the cut-off rent, please review the following document: Public Housing Adjustments for FMRs


40th Percentile 2009 ACS Standard Quality Rent - Hughes County, SD

The following table and calculations demonstrate how the 40th percentile 2009 ACS standard quality rent is determined for Hughes County, SD using the public distribution of standard quality rents.

Portion of Standard Quality Rent Distribution Gross Rent Dollar Range Number of Units Percent of Eligible Distribution Cumulative Percent
Units below interval containing
public housing rent level of $311
$0 to $300 64 Not in Distribution Not in Distribution
Units in interval containing
public housing rent level of $311
$301 to $310 0.00 Not in Distribution Not in Distribution
$311 to $349 0.00 0.0% 0.0%
Units below interval containing
40th percentile standard quality rent of $542
$350 to $499 245 30.2% 30.2%
Units in interval containing
40th percentile standard quality rent of $542
$500 to $549 95 11.7% 42.0%
Units above interval containing
40th percentile standard quality rent of $542
$550 or more 470 58.0% 100.0%
Total Units Above Public Housing Rent in Standard Quality Rent Distribution   810.00    

There were no standard quality 2-bedroom units in the rent interval containing the Public Housing Rent level of $311.

The 40th percentile standard quality rent for Hughes County, SD is computed by linear interpolation over the 95 units in the rent range $500 to $549. Linear interpolation uses the assupmtion that the 95 units' rents are uniformly distributed in the rent range around the 40th percentile. Under this assumption, the proportion of the rent interval ($50) that needs to be added to the lower limit of the interval to reach the 40th percentile rent is the same as the proportion of units in the interval that needs to be added to the units in lower rent intervals to reach 40 percent of units in the distribution.

40 percent of units = .4 x 810.00 = 324.00

Units below the 40th percentile rent interval = 245.00 + 0.00 = 245.00

Units in 40th percentile rent interval needed to reach 40 percent of units = 324.00 - 245 = 79.00

Additional Units as Proportion of Interval = 79.00 / 95 = 0.8316

Dollars Added to Lower Limit of Interval to reach 40th percentile rent = 0.8316 x $50 = $42

40th percentile standard quality rent = $500 + $42 = $542



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