Consider the following table which contains number of corona test conducted in each hospital within bracket and number of positive cases in a city on a particular day. Based on the data in the table, answer question. Hospital What is the approximate percentage of positive cases in City 4?
→Hospital
A
(100)Hospital
B
(50)Hospital
C
(100)Hospital
D
(50)City ↓ City 1 30 15 35 10 City 2 35 10 30 10 City 3 15 5 15 5 City 4 10 5 5 15
12
Calculating Approximate Percentage of Positive Cases in City 4
The question asks us to find the approximate percentage of positive corona test cases in City 4 based on the provided table data.
The table shows the number of positive cases in each city across different hospitals. The total number of tests conducted in each hospital is given in brackets next to the hospital name.
Let's first organize the data provided in the table:
| Hospital | Total Tests Conducted | City 1 Positive Cases | City 2 Positive Cases | City 3 Positive Cases | City 4 Positive Cases |
|---|---|---|---|---|---|
| Hospital A | 100 | 30 | 35 | 15 | 10 |
| Hospital B | 50 | 15 | 10 | 5 | 5 |
| Hospital C | 100 | 35 | 30 | 15 | 5 |
| Hospital D | 50 | 10 | 10 | 5 | 15 |
To find the percentage of positive cases in City 4, we need two pieces of information:
- The total number of positive cases reported for City 4 across all hospitals.
- The total number of tests conducted across all hospitals mentioned in the data.
Total Positive Cases in City 4
We need to sum the positive cases reported for City 4 from each hospital:
- Hospital A: 10 positive cases for City 4
- Hospital B: 5 positive cases for City 4
- Hospital C: 5 positive cases for City 4
- Hospital D: 15 positive cases for City 4
Total positive cases in City 4 $= 10 + 5 + 5 + 15 = 35$
So, there are 35 positive cases reported for City 4.
Total Tests Conducted
We need to sum the total tests conducted in each hospital:
- Hospital A: 100 tests
- Hospital B: 50 tests
- Hospital C: 100 tests
- Hospital D: 50 tests
Total tests conducted $= 100 + 50 + 100 + 50 = 300$
So, a total of 300 tests were conducted across these hospitals.
Calculating the Percentage of Positive Cases in City 4
The percentage of positive cases in City 4 is calculated as the total positive cases in City 4 divided by the total tests conducted, multiplied by 100.
Percentage of positive cases in City 4 $= \left( \frac{\text{Total Positive Cases in City 4}}{\text{Total Tests Conducted}} \right) \times 100$
Plugging in the values we found:
Percentage $= \left( \frac{35}{300} \right) \times 100$
Percentage $= \frac{35}{3} \times 1$
Percentage $= \frac{35}{3}$
Percentage $\approx 11.666...$
The question asks for the approximate percentage. Rounding 11.666...% to the nearest whole number gives 12%.
Comparing with Options
Let's look at the given options:
- 16
- 13
- 12
- 15
Our calculated approximate percentage, 12%, matches option 3.
Therefore, the approximate percentage of positive cases in City 4 is 12%.
Revision Table: Key Data Analysis Steps
| Step | Description | Calculation |
|---|---|---|
| 1 | Identify positive cases for target city (City 4). | Sum cases from Hospital A, B, C, D for City 4: $10+5+5+15=35$ |
| 2 | Identify total tests conducted. | Sum tests from Hospital A, B, C, D: $100+50+100+50=300$ |
| 3 | Calculate percentage of positive cases. | $\left( \frac{\text{Positive Cases}}{\text{Total Tests}} \right) \times 100 = \left( \frac{35}{300} \right) \times 100$ |
| 4 | Approximate the result. | $11.66...\% \approx 12\%$ |
Additional Information: Data Interpretation Basics
Data interpretation involves analyzing data presented in various formats like tables, charts, or graphs to extract meaningful insights and answer specific questions. For table-based data analysis questions, it's crucial to:
- Understand the headings and labels of rows and columns.
- Identify what each number in the table represents.
- Determine what the question is asking for precisely.
- Identify the specific data points needed for the calculation.
- Perform the necessary calculations (addition, subtraction, multiplication, division, percentage, average, ratio, etc.).
- Pay attention to keywords like "total", "difference", "ratio", "percentage", and "approximate".
- Round the final answer as required by the question.
In this problem, understanding that the numbers in brackets are total tests per hospital and the table entries are positive cases per city per hospital was key. The calculation involved summing positive cases for the target city and dividing by the total tests reported in the context of the problem.
Important Questions from Tabulation
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
What is the ratio of salary of Varun to his income other than salary?Study the table and answer the question:
Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
What is the percentage of persons earning Rs. 250 or more?The following table shows the annual profit of a company (in Rs. lakh).
2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
815
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
