Understanding the Fees Table Data

The question asks us to find the average of the difference in fees between the MCA and MTech courses over five years, from 2016 to 2020. To do this, we first need to extract the relevant fee data for MCA and MTech for each of these years from the provided table.

Calculating the Difference in Fees Year by Year

Next, we calculate the difference between the MTech fees and the MCA fees for each year. The difference is MTech Fee − MCA Fee.

• For 2016: Difference = \(60200 - 52000 = 8200\)
• For 2017: Difference = \(61400 - 53500 = 7900\)
• For 2018: Difference = \(62500 - 54200 = 8300\)
• For 2019: Difference = \(62900 - 55700 = 7200\)
• For 2020: Difference = \(63700 - 56800 = 6900\)

We can also present these differences in a table:

Calculating the Average Difference of Fees

To find the average difference, we sum up the differences calculated for each year and divide the total sum by the number of years, which is 5 (from 2016 to 2020).

Sum of differences = \(8200 + 7900 + 8300 + 7200 + 6900\)

Sum of differences = \(38500\)

Average difference = \(\frac{\text{Sum of differences}}{\text{Number of years}}\)

Average difference = \(\frac{38500}{5}\)

Let's calculate the average:

\(38500 \div 5\)

\(38500 / 5 = 7700\)

The average difference of fees between MCA and MTech for the years 2016-2020 is 7700.

Final Answer

The average of the difference of fees of MCA and MTech for the years 2016-2020 is 7700.

Revision Table: MCA and MTech Fees Analysis

Additional Information: Data Analysis and Averages

Analyzing data presented in tables is a common type of quantitative reasoning question. Understanding how to calculate differences and averages is fundamental.

• Data Extraction: Always carefully read the question to identify which specific data points from the table are needed.
• Difference: The difference between two numbers \(a\) and \(b\) is typically \(|a - b|\) or \(a - b\) depending on the context. Here, MTech fees are higher, so MTech - MCA gives positive differences.
• Average (Mean): The average or arithmetic mean of a set of numbers is calculated by summing all the numbers and dividing by the count of numbers. The formula is \(\text{Average} = \frac{\text{Sum of values}}{\text{Number of values}}\). This gives a single value that represents the central tendency of the data set.
• Applications: Calculating averages and differences is useful in many areas, such as tracking financial performance, comparing prices, analyzing trends, and understanding variations in data sets.