Analyzing Hospital Patient Data for Disease Ratios

The question asks for the ratio of the total number of patients admitted for viral disease to the total number of patients admitted for kidney disease across all the given hospitals. We need to extract the relevant data from the provided table and sum up the patient counts for each specific disease category.

Extracting Data for Viral and Kidney Diseases

Let's look at the number of patients admitted for Viral disease and Kidney disease in each hospital:

• Hospital A: Viral disease - 30, Kidney disease - 15
• Hospital B: Viral disease - 15, Kidney disease - 5
• Hospital C: Viral disease - 35, Kidney disease - 15
• Hospital D: Viral disease - 10, Kidney disease - 5

Calculating Total Patients for Each Disease

Now, we sum up the patients for each disease across all hospitals:

Total patients admitted for Viral disease:

$\text{Total Viral} = 30 + 15 + 35 + 10$

$\text{Total Viral} = 90$

Total patients admitted for Kidney disease:

$\text{Total Kidney} = 15 + 5 + 15 + 5$

$\text{Total Kidney} = 40$

Determining the Ratio of Viral Disease Patients to Kidney Disease Patients

The question asks for the ratio of patient admitted for viral disease to kidney disease. This is the ratio of the total number of viral disease patients to the total number of kidney disease patients.

Ratio = Total Viral disease patients : Total Kidney disease patients

Ratio = $90 : 40$

Simplifying the Ratio

To simplify the ratio $90 : 40$, we find the greatest common divisor (GCD) of 90 and 40, which is 10. We divide both parts of the ratio by 10.

$90 \div 10 = 9$

$40 \div 10 = 4$

The simplified ratio is $9 : 4$.

Thus, the ratio of patient admitted for viral disease to kidney disease is $9 : 4$.

Revision Table: Key Calculations

Ratio calculation: $\frac{\text{Total Viral}}{\text{Total Kidney}} = \frac{90}{40} = \frac{9}{4}$

Ratio = $9 : 4$

Additional Information: Understanding Ratios in Data Analysis

A ratio is a way to compare two or more quantities. It shows how many times one quantity is contained within another or how the two quantities relate to each other. In this case, the ratio $9 : 4$ means that for every 9 patients admitted for viral disease, there were 4 patients admitted for kidney disease across these hospitals on that particular day.

Ratios are often used in data analysis to:

• Compare proportions
• Scale quantities up or down
• Analyze relationships between different categories of data

Simplifying a ratio makes it easier to understand the relationship between the quantities in their simplest form.