| Course | HI230 Quality Assurance and Statistics in Health Information 1 |
|---|---|
| Unit | Unit 3 |
| Paper type | Length of stay exercise |
| Length | About 1,000 words, 6 pages double-spaced |
| Format | APA 7 student paper |
| School | Purdue University Global |
| Program | BS in Health Information Management |
| Updated | October 2026 |
Free sample paper for HI230 Unit 3
Thirty-Three Days Across Eight Discharges: A Unit 3 Length of Stay Exercise Ruling on a Same-Day Stay, a Death, an Internal Transfer and a Patient Admitted in March, With the Average and the Median Reported Side by Side
[Student Name]
Purdue University Global
HI230: Quality Assurance and Statistics in Health Information 1
Unit 3 Length of Stay Exercise
[Instructor Name]
[Date]
The hospital, its patients and their dates are composite; the counting rules and the sources cited are real.
Counting Rules Applied
Four rules govern every row below, and each comes from the standard definitions used in hospital statistics (Horton, 2017).
1. Length of stay for one patient is the discharge date minus the admission date. The day of admission is counted and the day of discharge is not.
2. A patient admitted and discharged on the same date is counted as one day, never zero, because the patient used a bed and received inpatient care.
3. A death is a discharge. A patient who dies in the hospital leaves the census that day and joins the discharge count like any other.
4. A move from one unit to another inside the hospital is not a discharge. The patient keeps one stay from the first admission to the final discharge.
Length of stay is credited to the period in which the stay ends. A patient admitted in March and discharged in April adds every day of the stay to April's total, including the days spent in March.
The Discharge List, Ruled Row by Row
1. Patient A: admitted March 28, discharged April 3. March has 31 days, so four days fall in March and two in April. Length of stay: 6 days, all credited to April.
2. Patient B: admitted April 2, discharged April 6. Length of stay: 4 days.
3. Patient C: admitted April 5, died April 7. Counted as a discharge. Length of stay: 2 days.
4. Patient D: admitted and discharged April 9. Same-day rule applied. Length of stay: 1 day.
5. Patient E: admitted to intensive care April 10, moved to a medical unit April 13, discharged April 17. One continuous stay. Length of stay: 7 days.
6. Patient F: admitted April 14, discharged April 17. Length of stay: 3 days.
7. Patient G: admitted April 18, discharged April 22. Length of stay: 4 days.
8. Patient H: admitted April 21, discharged April 27. Length of stay: 6 days.
One further record in the source list, a newborn born April 20 and discharged April 22, was set aside. Newborns are reported in their own statistics, apart from adults and children, and adding the infant here would mix two populations whose stays behave very differently. Two of the eight rows needed a ruling rather than arithmetic: Patient D, who would otherwise count as zero, and Patient E, who would otherwise count twice.
The Average
Total length of stay for April discharges: 6 + 4 + 2 + 1 + 7 + 3 + 4 + 6 = 33 days. Number of discharges, including the death: 8. Average length of stay: 33 divided by 8 equals 4.125, reported as 4.1 days.
What Goes Wrong Without the Rules
Each rule changes the answer when it is skipped, and the exercise shows how much. Counting Patient D as zero leaves the total at 32 and the average at 4.0 days. Treating Patient E's transfer as a discharge and a fresh admission splits the stay into three days and four days and adds a ninth discharge, so the same 33 days divided by 9 gives 3.7. Counting both the admission and discharge dates for every patient adds one day to each row, a total of 41 and an average of 5.1. Leaving Patient C out because she died, a mistake that seems tidy, drops two days and one discharge for an average of 4.4. None of these errors is large on its own, but in a monthly report each one moves the figure enough to start a conversation about a change that never happened.
Why the Total Differs From April's Service Days
The 33 days above are discharge days, counted when each stay ends. Inpatient service days for the same eight patients in April come to 29, because Patient A spent four of his nights in March and those nights belong to March's census. The two measures answer different questions. Service days tell a manager how busy April was; length of stay tells a reviewer how long patients who left in April had been in the hospital. A report that divides April service days by April discharges mixes the two and produces a figure that is neither.
Mean and Median
Sorted, the eight stays are 1, 2, 3, 4, 4, 6, 6 and 7 days. The median is the average of the fourth and fifth values, 4.0 days, slightly below the mean of 4.1. The gap here is small, but it points in the direction it nearly always does. Hospital stays cannot fall below one day and can stretch for weeks, so their distribution has a long right tail, and a few long stays pull the mean above the typical patient's experience (Marazzi et al., 1998). In a list of eight, one patient staying three weeks would have lifted the mean past 5 days while the median stayed at 4.
Notes for the Report
The figure reported to the medical staff committee would read: average length of stay for adult and pediatric discharges, April, 4.1 days (8 discharges; median 4.0; newborns excluded). Each item in that line answers a question a reader would otherwise have to ask: which patients, which month, how many and whether the average is typical. The committee should also resist reading a lower figure as automatically better. Shorter stays can reflect efficient care, but they can also reflect patients sent home before they were ready, and the reasons for wanting stays shorter need to be stated before the number is judged (Clarke, 1996).
References
Clarke, A. (1996). Why are we trying to reduce length of stay? Evaluation of the costs and benefits of reducing time in hospital must start from the objectives that govern change. Quality in Health Care, 5(3), 172-179. https://doi.org/10.1136/qshc.5.3.172
Horton, L. A. (2017). Calculating and reporting healthcare statistics (5th ed.). AHIMA Press.
Marazzi, A., Paccaud, F., Ruffieux, C., & Beguin, C. (1998). Fitting the distributions of length of stay by parametric models. Medical Care, 36(6), 915-927. https://doi.org/10.1097/00005650-199806000-00014
HI230 Unit 3 instructions, in plain terms
In Unit 3 you are usually handed a discharge list with admission and discharge dates and asked for each patient's length of stay, the total and the average. The list is rarely clean. Expect at least one patient admitted and discharged on the same date, one death, one transfer between units and one stay that crosses a month boundary, since those cases test the rules. Most prompts want the rules written down, every row calculated, and the average shown as a formula before the figures go in. Some sections add a question about inpatient service days for the same patients or ask whether the median should also be reported. Newborns in the data are normally set aside for separate reporting. Write each ruling next to the row it affects, so the grader can see why a number differs from simple subtraction.
How the HI 230 Unit 3 example is put together
The exercise begins with four counting rules and a note that length of stay is credited to the month in which a stay ends. A numbered list follows, one line per patient, each giving the dates, the ruling where one is needed and the days counted. A newborn in the source list is set aside with a reason. A highlighted line points out that only two rows needed a ruling rather than arithmetic. The average is then written in words and in numbers, 33 over 8, rounded to 4.1. A section prices four common errors, from counting the same-day patient as zero to counting both end dates, and another explains the gap between discharge days and April's service days. The close sorts the stays, reports the median, cites research on skewed stay distributions and drafts the line that would go to the committee.
Where the points sit in the HI230 Unit 3 rubric
Points in this unit follow the counting rules closely. Most of the rubric rewards correct individual stays, especially the rows that require a ruling, and an average computed from discharges in the period. Graders look for the same-day stay counted as one, the death included, the transfer kept as one stay and the cross-month patient credited where the stay ended. Clear presentation earns its own share: rules stated first, one row per patient and the formula written out. Instructors often give extra credit when the work explains why discharge days and service days differ, since that shows understanding beyond the arithmetic. Reporting the median with a reason is valued in many sections. Accurate rounding and a short source list in APA 7 complete the marks, and an unlabeled answer with no work rarely earns full points.
HI230 Unit 3 help: mistakes that cost points
The mistake that costs the most points is counting a same-day stay as zero, which removes a real patient from the total. Count it as one. Close behind is splitting a transfer into two stays, which adds a discharge that never happened and pulls the average down. Some students count both the admission and discharge dates, adding a day to every row, while others leave a death out of the list. Watch the month boundary too: the patient admitted in March belongs to April's length of stay, though not to April's service days for those March nights. Our writers can work your own discharge list in the format your key expects if you send the dates and rules. Keep the newborn rows separate unless the prompt says otherwise, and label the final figure with its population and month.
Get an HI230 Unit 3 example written to your instructions
Forward the discharge list your Unit 3 exercise supplies, dates and all, along with the instructions and rubric, and flag any counting convention the instructor added. Each stay in the custom set is ruled on in a notes column, and the finished computation arrives within 24-48h. The first sample is yours without charge. The paper above is an original model document written by our desk, not a submitted student paper and not an official Purdue University Global document.
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HI230 Unit 3 questions, answered
Why does a same-day stay count as one day?
Because the patient occupied a bed and received inpatient care, and a zero would erase that from every total built on it. The convention in hospital statistics is to count such a stay as one day, and the example applies it to the one row where it arises. A few keys state the rule explicitly; most simply expect it.
Which month gets a stay that crosses a month boundary?
For length of stay, the month of discharge, and it gets every day of the stay. The example's March admission discharged in April adds all six days to April's total. Inpatient service days work differently, counting each night in the month it occurred, which is why the two totals rarely match for any single period.
Should the exercise report the median as well as the average?
Only if the prompt asks, though a line on it rarely hurts. The example adds the median because one long stay lifts the mean, and a committee reading the figure should know that. If your instructions specify average length of stay alone, the median can sit in the interpretation paragraph rather than beside the required answer.
Where can I find a free HI230 Unit 3 sample paper?
The finished Unit 3 exercise, covering eight discharges, a same-day stay, a death, a transfer and a March admission, sits on this page with its 4.1-day average.
Is a patient who dies counted in average length of stay?
Yes. A death is a discharge in hospital statistics, so the patient's days join the total and the patient joins the discharge count used as the denominator.