Calculating Percentage of Liver Disease Patients

The problem asks us to find the percentage of patients admitted for Liver disease out of the total number of patients admitted for all diseases across all given hospitals. We are provided with a table showing the number of patients admitted for different diseases in four hospitals.

First, let's understand the data presented in the table:

The total number of beds in each hospital is given in brackets, but this information is not required to calculate the percentage of Liver disease patients among the admitted patients.

Step 1: Calculate the total number of patients admitted for Liver disease

To find the total number of patients admitted for Liver disease, we sum the Liver disease patients from each hospital:

Total Liver disease patients = Patients in Hospital A + Patients in Hospital B + Patients in Hospital C + Patients in Hospital D

Total Liver disease patients = $10 + 5 + 5 + 15 = 35$

So, a total of 35 patients were admitted for Liver disease across all hospitals.

Step 2: Calculate the total number of patients admitted for all diseases in all hospitals

To find the total number of patients admitted, we sum the patients for all diseases from each hospital. Alternatively, we can sum the total patients for each disease across all hospitals.

Let's calculate the total patients for each disease category first:

• Total Viral disease patients = $30 + 15 + 35 + 10 = 90$
• Total Heart disease patients = $35 + 10 + 30 + 10 = 85$
• Total Kidney disease patients = $15 + 5 + 15 + 5 = 40$
• Total Liver disease patients = $10 + 5 + 5 + 15 = 35$ (calculated in Step 1)

Now, sum these totals to get the grand total of admitted patients:

Total admitted patients = Total Viral + Total Heart + Total Kidney + Total Liver

Total admitted patients = $90 + 85 + 40 + 35 = 250$

So, a total of 250 patients were admitted across all hospitals for all listed diseases.

Step 3: Calculate the percentage of Liver disease patients from the total patients admitted

The percentage is calculated using the formula:

Percentage = $\left( \frac{\text{Number of Liver disease patients}}{\text{Total number of admitted patients}} \right) \times 100\%$

Using the values calculated in Step 1 and Step 2:

Percentage of Liver disease patients = $\left( \frac{35}{250} \right) \times 100\%$

Percentage of Liver disease patients = $0.14 \times 100\%$

Percentage of Liver disease patients = $14\%$

Therefore, the percentage of Liver disease patients admitted in all the hospitals from the total patients admitted is $14\%$.

Revision Table: Key Calculations for Patient Data

Percentage of Liver disease patients = $\left( \frac{35}{250} \right) \times 100\% = 14\%$

Additional Information on Data Interpretation and Percentages

Understanding how to interpret data from tables and calculate percentages is a fundamental skill in data analysis. A percentage represents a part of a whole, expressed as a fraction of 100. In this problem, the 'part' is the number of Liver disease patients, and the 'whole' is the total number of patients admitted. The process involves:

• Identifying the relevant data points from the table.
• Summing the data for the specific category of interest (Liver disease patients).
• Summing the data for the total group (all admitted patients).
• Applying the percentage formula: $\left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\%$.

This type of calculation is useful in various fields, including healthcare, to understand the prevalence of specific conditions among a patient population.