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Question

Study the given table carefully and answer the questions that follow

The following table has semester fees for four different courses in 5 different years

YearsBCAMCAMTechMPhil
201625000520006020030000
201726500535006140032000
201827200542006250032600
201927600557006290033400
202028000568006370033900

What is the difference between the average semester fees of BCA and average semester fees of MCA during 2016‐2020?

The correct answer is

27580

Calculating Average Semester Fees Difference

The question asks for the difference between the average semester fees of BCA and MCA courses over the years 2016 to 2020, based on the provided table.

First, let's look at the given data in the table:

Years BCA MCA MTech MPhil
2016 25000 52000 60200 30000
2017 26500 53500 61400 32000
2018 27200 54200 62500 32600
2019 27600 55700 62900 33400
2020 28000 56800 63700 33900

To find the average semester fees for BCA over the years 2016-2020, we need to sum the BCA fees for each year and divide by the number of years, which is 5.

Total BCA Fees (2016-2020) $= 25000 + 26500 + 27200 + 27600 + 28000 = 134300$

Average BCA Fees $= \frac{\text{Total BCA Fees}}{\text{Number of Years}}$

Average BCA Fees $= \frac{134300}{5} = 26860$

Next, we calculate the average semester fees for MCA over the same period (2016-2020). We sum the MCA fees for each year and divide by 5.

Total MCA Fees (2016-2020) $= 52000 + 53500 + 54200 + 55700 + 56800 = 272200$

Average MCA Fees $= \frac{\text{Total MCA Fees}}{\text{Number of Years}}$

Average MCA Fees $= \frac{272200}{5} = 54440$

Finally, we need to find the difference between the average semester fees of BCA and the average semester fees of MCA.

Difference $= \text{Average MCA Fees} - \text{Average BCA Fees}

Difference $= 54440 - 26860 = 27580$

The difference between the average semester fees of BCA and average semester fees of MCA during 2016-2020 is 27580.

Revision Table: Key Calculations

Course Total Fees (2016-2020) Number of Years Average Fees
BCA 134300 5 26860
MCA 272200 5 54440

Difference in Averages $= 54440 - 26860 = 27580$

Additional Information: Understanding Averages and Data Analysis

An average (specifically, the arithmetic mean) is calculated by summing a set of values and dividing by the number of values. In this problem, we used the average to get a single representative value for the semester fees of each course over a five-year period. Calculating the difference between these averages helps us compare the typical fee structure of two different courses over the same duration. Data analysis often involves calculating averages, differences, percentages, and other metrics to understand trends and make comparisons from tables or datasets.

  • The average provides a central value for a dataset.
  • Comparing averages helps in understanding the general difference between two groups or categories.
  • This type of question tests your ability to extract data from a table and perform basic arithmetic calculations.
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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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