Read the given passage and answer the questions that follow The following table has the number of enrolled students for a particular course and year. Total number of seats are given in brackets with respect to each course. Number of Enrolled Students BTech MTech MPhilYear
(120)
(30)
(20)MBA
(60)2016 96 24 12 52 2017 110 26 14 57 2018 108 25 13 54 2019 112 28 15 56 2020 104 27 16 48
Which course has the highest percentage increase in enrollment of students from 2016-2017?
M Phil
Calculating Enrollment Increase from 2016 to 2017
To find which course had the highest percentage increase in student enrollment from 2016 to 2017, we need to compare the enrollment numbers for each course in these two years and calculate the percentage change.
First, let's look at the enrollment data for 2016 and 2017 from the provided table:
| Course | Enrolled Students (2016) | Enrolled Students (2017) |
|---|---|---|
| BTech | 96 | 110 |
| MTech | 24 | 26 |
| MPhil | 12 | 14 |
| MBA | 52 | 57 |
Formula for Percentage Increase
The formula used to calculate the percentage increase is:
$$\text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100$$
In this case, the 'New Value' is the enrollment in 2017, and the 'Old Value' is the enrollment in 2016.
Percentage Increase Calculation for Each Course Enrollment
BTech Enrollment Percentage Increase
- Enrollment in 2016: 96
- Enrollment in 2017: 110
- Increase in enrollment: $110 - 96 = 14$
- Percentage Increase: $$\left( \frac{14}{96} \right) \times 100 \approx 14.58\%$$
MTech Enrollment Percentage Increase
- Enrollment in 2016: 24
- Enrollment in 2017: 26
- Increase in enrollment: $26 - 24 = 2$
- Percentage Increase: $$\left( \frac{2}{24} \right) \times 100 = \left( \frac{1}{12} \right) \times 100 \approx 8.33\%$$
MPhil Enrollment Percentage Increase
- Enrollment in 2016: 12
- Enrollment in 2017: 14
- Increase in enrollment: $14 - 12 = 2$
- Percentage Increase: $$\left( \frac{2}{12} \right) \times 100 = \left( \frac{1}{6} \right) \times 100 \approx 16.67\%$$
MBA Enrollment Percentage Increase
- Enrollment in 2016: 52
- Enrollment in 2017: 57
- Increase in enrollment: $57 - 52 = 5$
- Percentage Increase: $$\left( \frac{5}{52} \right) \times 100 \approx 9.62\%$$
Comparing Enrollment Percentage Increases
Let's list the calculated percentage increases for each course:
- BTech: $\approx 14.58\%$
- MTech: $\approx 8.33\%$
- MPhil: $\approx 16.67\%$
- MBA: $\approx 9.62\%$
Identifying the Course with the Highest Percentage Increase
Comparing the percentages, we can see that the MPhil course has the highest percentage increase in enrollment from 2016 to 2017, with approximately 16.67%.
Revision Table: Enrollment Data Analysis
| Course | Enrollment 2016 | Enrollment 2017 | Increase | Percentage Increase (%) |
|---|---|---|---|---|
| BTech | 96 | 110 | 14 | $\approx 14.58$ |
| MTech | 24 | 26 | 2 | $\approx 8.33$ |
| MPhil | 12 | 14 | 2 | $\approx 16.67$ |
| MBA | 52 | 57 | 5 | $\approx 9.62$ |
Additional Information: Data Analysis Concepts
- Percentage Change: This metric is useful for comparing relative changes over time, especially when the initial values are different. A small absolute increase can be a large percentage increase if the starting value is small.
- Baseline Value: In percentage change calculations, the 'Old Value' or starting value serves as the baseline for comparison.
- Enrollment Trends: Analyzing enrollment data over multiple years helps institutions understand popularity trends for different courses and plan accordingly.
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?
