Consider the following table which contain number of blood samples given in bracket collected by a hospital to identify blood group in a particular month. Based on the data in the table answer question. Hospital Hospital Hospital Hospital Hospital Reported Blood group W X Y Z (1000) (500) (1000) (500) A Positive 300 150 350 100 B Positive 350 100 300 100 A Negative 150 50 150 50 B Negative 100 50 50 150
What is the percentage of B-positive cases from the total positive cases reported?
48.57
Analyzing Blood Sample Data
This question asks us to calculate the percentage of B-positive cases out of the total positive cases reported across four different hospitals (W, X, Y, Z) based on the provided table data.
Understanding Blood Sample Reporting Data
The table gives us the number of blood samples collected by four hospitals and categorized by blood group (A Positive, B Positive, A Negative, B Negative).
We need to focus only on the 'Positive' cases, which include 'A Positive' and 'B Positive' blood groups, across all four hospitals.
| Reported Blood group | Hospital W | Hospital X | Hospital Y | Hospital Z |
|---|---|---|---|---|
| A Positive | 300 | 150 | 350 | 100 |
| B Positive | 350 | 100 | 300 | 100 |
| A Negative | 150 | 50 | 150 | 50 |
| B Negative | 100 | 50 | 50 | 150 |
Calculating Total Positive Blood Sample Cases
First, let's find the total number of A Positive cases across all hospitals:
- Hospital W: 300
- Hospital X: 150
- Hospital Y: 350
- Hospital Z: 100
Total A Positive cases = $300 + 150 + 350 + 100 = 900$
Next, let's find the total number of B Positive cases across all hospitals:
- Hospital W: 350
- Hospital X: 100
- Hospital Y: 300
- Hospital Z: 100
Total B Positive cases = $350 + 100 + 300 + 100 = 850$
Now, we calculate the total number of positive cases by adding the total A Positive and total B Positive cases:
Total Positive cases = Total A Positive cases + Total B Positive cases
Total Positive cases = $900 + 850 = 1750$
Calculating Percentage of B-Positive Cases
The question asks for the percentage of B-positive cases from the total positive cases reported. The formula for percentage is:
Percentage = $\frac{\text{Part}}{\text{Whole}} \times 100$
Here, the 'Part' is the total number of B Positive cases, and the 'Whole' is the total number of Positive cases.
Percentage of B Positive cases = $\frac{\text{Total B Positive cases}}{\text{Total Positive cases}} \times 100$
Percentage = $\frac{850}{1750} \times 100$
Let's perform the calculation:
Percentage = $\frac{850}{1750} \times 100 = \frac{85}{175} \times 100 = \frac{17}{35} \times 100$
Percentage $\approx 0.485714 \times 100$
Percentage $\approx 48.57$
Step-by-Step Solution Summary
- Identify the number of A Positive cases for each hospital from the table.
- Sum the A Positive cases for all hospitals to get the total A Positive cases.
- Identify the number of B Positive cases for each hospital from the table.
- Sum the B Positive cases for all hospitals to get the total B Positive cases.
- Add the total A Positive cases and total B Positive cases to find the total Positive cases.
- Divide the total B Positive cases by the total Positive cases.
- Multiply the result by 100 to get the percentage.
Final Answer Derivation
The calculated percentage of B-positive cases from the total positive cases is approximately $48.57\%$. This matches one of the given options.
Revision Table: Blood Group Statistics
| Metric | Calculation | Result |
|---|---|---|
| Total A Positive Cases | $300 + 150 + 350 + 100$ | 900 |
| Total B Positive Cases | $350 + 100 + 300 + 100$ | 850 |
| Total Positive Cases | $900 + 850$ | 1750 |
| Percentage of B Positive from Total Positive | $(850 / 1750) \times 100$ | $48.57\%$ (approx) |
Additional Information: Blood Groups and Percentages
Blood groups are classified based on the presence or absence of specific antigens on the surface of red blood cells. The main systems are ABO and Rh factor.
- ABO System: Determines if someone has A, B, both (AB), or neither (O) antigens.
- Rh Factor: Determines if someone has the Rh antigen (Rh positive, +) or not (Rh negative, -).
Combining these, we get the common blood types like A+, A-, B+, B-, AB+, AB-, O+, O-. The problem specifically asks about 'Positive' cases, which include A+ and B+ in this context, as the data only provides A Positive, B Positive, A Negative, and B Negative categories.
Calculating percentages from data is a common skill needed for data analysis. It helps in understanding the proportion of a specific category relative to a whole.
In this calculation, we treated the sum of all 'Positive' cases (A Positive + B Positive) as the 'whole' and the total 'B Positive' cases as the 'part' to find the required percentage.
Important Questions from Data Interpretation
The table given below shows the earnings of two persons on five different days.
What is the ratio of total earnings of P to the total earnings of Q?Earnings Days P Q Monday 105 150 Tuesday 96 110 Wednesday 65 122 Thursday 115 106 Friday 130 68 The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.
Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10 What is the total number of car toys of C2 and C3 taken together?
Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.
The ratio between the companies having more production than demand and more demand than production is:
Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.
During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?
The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?
