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
Which school has the minimum percentage increase in total student enrollment (both boys and girls) from 2019 to 2020?
B
Analyzing School Enrollment Data from 2019 to 2020
The question asks us to determine which school had the minimum percentage increase in total student enrollment (combining both boys and girls) from the year 2019 to the year 2020. To solve this, we need to calculate the total enrollment for each school in 2019 and 2020, find the increase, and then calculate the percentage increase.
The data in the table represents the number of students in hundreds.
Calculate Total Student Enrollment in 2019 and 2020
First, let's sum the number of boys (M) and girls (F) for each school in 2019 and 2020 to find the total enrollment for those years.
| School | 2019 (M+F) | 2020 (M+F) |
|---|---|---|
| A | 6.5 + 10.7 = 17.2 | 9.5 + 11.9 = 21.4 |
| B | 7.4 + 6.5 = 13.9 | 8.6 + 6.9 = 15.5 |
| C | 6.3 + 4.3 = 10.6 | 7.6 + 5.4 = 13.0 |
| D | 6.5 + 6.8 = 13.3 | 7.9 + 7.6 = 15.5 |
Calculate the Increase in Enrollment from 2019 to 2020
Next, we find the difference in total enrollment for each school between 2020 and 2019.
| School | Increase |
|---|---|
| A | 21.4 - 17.2 = 4.2 |
| B | 15.5 - 13.9 = 1.6 |
| C | 13.0 - 10.6 = 2.4 |
| D | 15.5 - 13.3 = 2.2 |
Calculate Percentage Increase in Enrollment
The percentage increase is calculated using the formula:
$$ \text{Percentage Increase} = \frac{\text{Increase}}{\text{Enrollment in 2019}} \times 100\% $$
Let's calculate the percentage increase for each school:
- School A: \( \frac{4.2}{17.2} \times 100\% \approx 0.24418 \times 100\% \approx 24.42\% \)
- School B: \( \frac{1.6}{13.9} \times 100\% \approx 0.11511 \times 100\% \approx 11.51\% \)
- School C: \( \frac{2.4}{10.6} \times 100\% \approx 0.22641 \times 100\% \approx 22.64\% \)
- School D: \( \frac{2.2}{13.3} \times 100\% \approx 0.16541 \times 100\% \approx 16.54\% \)
Finding the Minimum Percentage Increase
Comparing the calculated percentage increases:
- School A: 24.42%
- School B: 11.51%
- School C: 22.64%
- School D: 16.54%
The minimum percentage increase in total student enrollment from 2019 to 2020 is approximately 11.51%, which occurred in School B.
Revision Table: School Enrollment Analysis
| School | Total 2019 | Total 2020 | Increase | Percentage Increase |
|---|---|---|---|---|
| A | 17.2 | 21.4 | 4.2 | \( \approx 24.42\% \) |
| B | 13.9 | 15.5 | 1.6 | \( \approx 11.51\% \) |
| C | 10.6 | 13.0 | 2.4 | \( \approx 22.64\% \) |
| D | 13.3 | 15.5 | 2.2 | \( \approx 16.54\% \) |
Additional Information: Understanding Percentage Change
Percentage change is a useful concept for comparing how much a quantity has increased or decreased relative to its starting value. It's commonly used in various fields, including finance, economics, and data analysis.
- The formula for percentage increase is \( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100\% \).
- The formula for percentage decrease is \( \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100\% \).
- It's important to divide by the original value when calculating percentage change to understand the change in proportion to the starting point.
- In this problem, the original value is the total enrollment in 2019, and the new value is the total enrollment in 2020. Since the enrollment in 2020 is greater than 2019 for all schools, we are calculating a percentage increase.
Understanding how to calculate and interpret percentage changes is a key skill in data interpretation questions.
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?
