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Question

Study the given table carefully and answer the questions that follow.

The given table has the number of students enrolled for different courses in 5 different years along with their male and female categorization.

Year

B.sc

BA

B.Com

M

F

M

F

M

F

2016

380

220

520

405

200

80

2017

390

230

525

417

210

85

2018

395

235

535

427

212

87

2019

405

250

538

430

215

91

2020

415

275

543

438

221

97

Find out the average of difference between male and female students for the BA course during 2016-2020.

The correct answer is

108.8

Understanding Student Enrollment Data

The question asks us to find the average of the difference between the number of male and female students enrolled in the BA course over five years, from 2016 to 2020. To do this, we first need to examine the provided table and extract the relevant data for the BA course for each year.

Year B.sc BA B.Com
M F M F M F
2016 380 220 520 405 200 80
2017 390 230 525 417 210 85
2018 395 235 535 427 212 87
2019 405 250 538 430 215 91
2020 415 275 543 438 221 97

Calculating the Difference in BA Enrollment by Gender

For each year from 2016 to 2020, we will find the difference between the number of male and female students enrolled in the BA course. The difference is calculated as: Number of Male Students - Number of Female Students.

  • 2016: Difference = $520 - 405 = 115$
  • 2017: Difference = $525 - 417 = 108$
  • 2018: Difference = $535 - 427 = 108$
  • 2019: Difference = $538 - 430 = 108$
  • 2020: Difference = $543 - 438 = 105$

Finding the Total Difference

Now, we need to sum up the differences calculated for each year:

Total Difference = $115 + 108 + 108 + 108 + 105$

Total Difference = $544$

Calculating the Average Difference

To find the average difference, we divide the total difference by the number of years, which is 5 (2016, 2017, 2018, 2019, 2020).

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

Average Difference = $\frac{544}{5}$

Average Difference = $108.8$

Thus, the average of the difference between male and female students for the BA course during 2016-2020 is 108.8.

Revision Table: BA Enrollment Difference

Year BA Male Students BA Female Students Difference (Male - Female)
2016 520 405 115
2017 525 417 108
2018 535 427 108
2019 538 430 108
2020 543 438 105

Additional Information: Data Interpretation and Average Calculation

Data interpretation questions often require extracting specific information from tables, graphs, or charts and performing calculations. Understanding how to calculate an average is a fundamental skill in such questions. The average (or mean) of a set of numbers is found by summing all the numbers in the set and then dividing by the count of numbers in the set. In this problem, we calculated the average difference by summing the yearly differences and dividing by the number of years.

Key concepts used:

  • Reading data from tables.
  • Calculating differences between two quantities.
  • Calculating the average of a set of values.
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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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