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 percentage of negative cases?
→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
16.67
Understanding the Corona Test Data Problem
The question provides a table containing information about corona tests conducted in four different hospitals (HospitalA, HospitalB, HospitalC, HospitalD) in a city. The number of tests conducted in each hospital is given in brackets next to the hospital name. The table entries show the number of positive cases found in each city for tests conducted in each hospital. We need to calculate the overall percentage of negative cases based on this data.
Analyzing the Given Data
Let's first summarize the number of tests conducted in each hospital and the positive cases reported across different cities for these hospitals.
The total number of tests conducted is the sum of tests conducted in each hospital.
- HospitalA: 100 tests
- HospitalB: 50 tests
- HospitalC: 100 tests
- HospitalD: 50 tests
Total tests conducted $\text{= 100 + 50 + 100 + 50 = 300}$.
Now let's look at the positive cases from the table:
| City ↓ Hospital → | HospitalA | HospitalB | HospitalC | HospitalD |
|---|---|---|---|---|
| City 1 | 30 | 15 | 35 | 10 |
| City 2 | 35 | 10 | 30 | 10 |
| City 3 | 15 | 5 | 15 | 5 |
| City 4 | 10 | 5 | 5 | 15 |
To find the total number of positive cases, we sum up all the positive cases reported in the table.
Total positive cases in City 1 $\text{= 30 + 15 + 35 + 10 = 90}$
Total positive cases in City 2 $\text{= 35 + 10 + 30 + 10 = 85}$
Total positive cases in City 3 $\text{= 15 + 5 + 15 + 5 = 40}$
Total positive cases in City 4 $\text{= 10 + 5 + 5 + 15 = 35}$
Overall total positive cases $\text{= 90 + 85 + 40 + 35 = 250}$.
Calculating Negative Cases
The number of negative cases is the total number of tests minus the total number of positive cases.
Total negative cases $\text{= Total tests - Total positive cases}$
Total negative cases $\text{= 300 - 250 = 50}$.
Calculating Percentage of Negative Cases
The percentage of negative cases is calculated using the formula:
Percentage of negative cases $\text{= } \left( \frac{\text{Total negative cases}}{\text{Total tests}} \right) \times 100$
Percentage of negative cases $\text{= } \left( \frac{50}{300} \right) \times 100$
Percentage of negative cases $\text{= } \left( \frac{1}{6} \right) \times 100$
Percentage of negative cases $\text{= } 16.666... \approx 16.67$.
Final Answer Derivation
Based on our calculations, the percentage of negative cases is approximately 16.67%.
This matches option 4.
Revision Table: Key Calculations Summary
| Calculation Step | Value | Notes |
|---|---|---|
| Total Tests | 300 | Sum of tests per hospital |
| Total Positive Cases | 250 | Sum of positive cases across all cities and hospitals |
| Total Negative Cases | 50 | Total Tests - Total Positive Cases |
| Percentage of Negative Cases | $\approx 16.67\%$ | (Total Negative Cases / Total Tests) * 100 |
Additional Information: Data Interpretation Basics
Data interpretation questions often involve analyzing tables, charts, or graphs to extract relevant information and perform calculations. Key steps usually include:
- Understanding the data source and what it represents.
- Identifying the specific question being asked.
- Locating the necessary data points within the source.
- Performing calculations (addition, subtraction, multiplication, division, percentage) accurately.
- Checking if the result makes sense in the context of the data.
In this problem, we interpreted a table containing counts of tests and positive results to find the count and percentage of negative results. This requires careful summation and percentage calculation.
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?
