Study the table carefully to answer the question that follows: The given table has the number of boys and girls (in hundreds) in 5 different years in 4 different schools (A, B, C, D) (M - Boys, F - Girls).School → A B C D ↓ Year M F M F M F M F 2016 4.2 4.7 6.3 4.2 5.6 3.5 7.6 7.7 2017 7.7 5.3 5.9 3.3 4.4 5.5 6.6 4.7 2018 10.4 7.9 5.7 5.3 5.9 6.4 3.8 3.5 2019 6.5 10.7 7.4 6.5 6.3 4.3 6.5 6.8 2020 9.5 11.9 8.6 6.9 7.6 5.4 7.9 7.6
Find out the difference between the number of boys in School A and School B during 2016-2020.
440
Calculating the Difference in Number of Boys in Schools A and B (2016-2020)
The question asks us to find the difference between the total number of boys in School A and the total number of boys in School B over the period from 2016 to 2020. The data is provided in the table, where the numbers are given in hundreds.
First, let's extract the number of boys (M) for School A and School B for each year from the table:
| Year | School A (Boys - M) | School B (Boys - M) |
|---|---|---|
| 2016 | 4.2 | 6.3 |
| 2017 | 7.7 | 5.9 |
| 2018 | 10.4 | 5.7 |
| 2019 | 6.5 | 7.4 |
| 2020 | 9.5 | 8.6 |
Step-by-Step Calculation
Step 1: Calculate the total number of boys in School A from 2016 to 2020.
Sum of boys in School A = Sum of (Boys in School A for each year from 2016 to 2020)
$$ \text{Total Boys in School A} = 4.2 + 7.7 + 10.4 + 6.5 + 9.5 $$ $$ \text{Total Boys in School A} = 38.3 \text{ hundreds} $$
Step 2: Calculate the total number of boys in School B from 2016 to 2020.
Sum of boys in School B = Sum of (Boys in School B for each year from 2016 to 2020)
$$ \text{Total Boys in School B} = 6.3 + 5.9 + 5.7 + 7.4 + 8.6 $$ $$ \text{Total Boys in School B} = 33.9 \text{ hundreds} $$
Step 3: Calculate the difference between the total number of boys in School A and School B.
Difference = Total Boys in School A - Total Boys in School B
$$ \text{Difference in hundreds} = 38.3 - 33.9 $$ $$ \text{Difference in hundreds} = 4.4 \text{ hundreds} $$
Step 4: Convert the difference from hundreds to the actual number.
Since the values in the table are in hundreds, we need to multiply the difference by 100.
$$ \text{Actual Difference} = 4.4 \times 100 $$ $$ \text{Actual Difference} = 440 $$
The difference between the number of boys in School A and School B during 2016-2020 is 440.
Revision Table: Data Analysis Summary
| School | Total Boys (2016-2020) in Hundreds | Total Boys (2016-2020) Actual |
|---|---|---|
| School A | 38.3 | 3830 |
| School B | 33.9 | 3390 |
| Difference | 4.4 | 440 |
Additional Information: Understanding Data Representation
Data tables are often used to organize information clearly. In this case, the table presents population data (boys and girls) in different schools over several years. It is crucial to read the notes or headings carefully to understand how the numbers are represented. Here, the note "(in hundreds)" tells us that the numbers like 4.2 actually represent \(4.2 \times 100 = 420\). Ignoring this detail would lead to an incorrect final answer.
When solving problems based on data tables:
- Always read the table title and headings to understand the context.
- Note the units of measurement (e.g., hundreds, thousands, percentage).
- Identify the specific rows and columns relevant to the question.
- Perform the required calculations (sum, difference, average, ratio, etc.) using the extracted data.
- Convert the final result to the required units if necessary.
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?
