Analyzing Vocational Course Enrollment Data

The question asks us to calculate the percentage of students enrolled in a Vocational Course (VC) in Institute A for specific years (2014, 2016, and 2017) relative to the total number of students enrolled in VC across all five institutes (A, B, C, D, and E) in a particular year (2019).

First, let's look at the provided data table showing the enrollment numbers:

Step-by-Step Calculation for Vocational Course Enrollment

We need to perform two main calculations:

1. Calculate the total number of students enrolled in Institute A in the years 2014, 2016, and 2017.
2. Calculate the total number of students enrolled in all five institutes (A, B, C, D, E) in the year 2019.
3. Calculate the required percentage.

1. Total Enrollment in Institute A (2014, 2016, 2017)

From the table, the enrollment in Institute A for the specified years are:

• Enrollment in A in 2014: 108
• Enrollment in A in 2016: 120
• Enrollment in A in 2017: 132

Total enrollment in A for these years = $108 + 120 + 132$

Total enrollment in A for these years = $360$

2. Total Enrollment in All Institutes (A, B, C, D, E) in 2019

From the table, the enrollment in each institute in 2019 are:

• Enrollment in A in 2019: 146
• Enrollment in B in 2019: 144
• Enrollment in C in 2019: 206
• Enrollment in D in 2019: 193
• Enrollment in E in 2019: 211

Total enrollment in all institutes in 2019 = $146 + 144 + 206 + 193 + 211$

Total enrollment in all institutes in 2019 = $900$

3. Calculate the Required Percentage

The question asks for the total enrollment in Institute A (2014, 2016, 2017) as a percentage of the total enrollment in all institutes in 2019.

Percentage = $\left( \frac{\text{Total enrollment in A (2014, 2016, 2017)}}{\text{Total enrollment in all institutes (2019)}} \right) \times 100$

Percentage = $\left( \frac{360}{900} \right) \times 100$

Percentage = $\left( \frac{36}{90} \right) \times 100$

Percentage = $\left( \frac{3600}{90} \right)$

Percentage = $40$

So, the total number of students enrolled in VC in Institute A in 2014, 2016, and 2017 is 40% of the total number of students enrolled in VC in all the five institutes in 2019.

Final Answer on Vocational Course Enrollment Percentage

Based on the calculations, the percentage is 40%.

Revision Table: Vocational Course Enrollment Data Analysis

Additional Information: Data Interpretation and Percentages

Data interpretation questions often require extracting specific values from tables or charts and performing calculations like sums, averages, ratios, or percentages. Understanding how to calculate percentages is crucial. A percentage represents a part out of a hundred. The formula used is:

Percentage = $\left( \frac{\text{Part}}{\text{Whole}} \right) \times 100$

In this problem, the 'part' is the sum of enrollment in Institute A for the specified years, and the 'whole' is the total enrollment in all institutes in 2019. Careful reading of the question to identify the correct values and the base for the percentage calculation is essential to avoid errors.