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Zorluk: OrtaRatio, Proportion, and Percent Calculations

The table below presents operational patient data across five regional health centers for fiscal year 2025.

Regional Health CenterTotal Inpatient AdmissionsEmergency Department VisitsOutpatient Telehealth Consultations30-Day Inpatient Readmissions
Central Metro12,00045,00018,0001,440
North Ridge8,00025,00015,000880
Eastside15,00060,00020,0001,500
Valley Pines6,00018,00012,000540
West Coast10,00032,00014,0001,100

Across all five regional health centers combined, what percentage of total inpatient admissions resulted in a 30-day inpatient readmission?

  1. A
    2.4%
  2. B
    3.0%
  3. C
    10.6%
  4. 10.7%Cevap
  5. E
    12.0%

Cevap

10.7%
To calculate the aggregate percentage across all five regional health centers, sum the total number of readmissions (1,440+880+1,500+540+1,100=5,4601,440 + 880 + 1,500 + 540 + 1,100 = 5,460) and divide by the sum of total inpatient admissions (12,000+8,000+15,000+6,000+10,000=51,00012,000 + 8,000 + 15,000 + 6,000 + 10,000 = 51,000). Dividing 5,4605,460 by 51,00051,000 yields approximately 0.107060.10706, or 10.7%10.7\%.

Adım Adım Çözüm

1
Calculate the total number of 30-day inpatient readmissions across all five regional health centers.
1,440+880+1,500+540+1,100=5,4601,440 + 880 + 1,500 + 540 + 1,100 = 5,460
To find aggregate percentage, the combined numerator must be determined.
2
Calculate the total number of inpatient admissions across all five regional health centers.
12,000+8,000+15,000+6,000+10,000=51,00012,000 + 8,000 + 15,000 + 6,000 + 10,000 = 51,000
The question specifically asks for readmissions as a percentage of total inpatient admissions, establishing the base denominator.
3
Divide total readmissions by total inpatient admissions and convert to a percentage.
5,46051,000×100%10.70588%10.7%\frac{5,460}{51,000} \times 100\% \approx 10.70588\% \approx 10.7\%
Determines the combined weighted percentage of readmissions.

Anahtar Kavram

Weighted aggregate percentage calculation from tabular data
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