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Question

The following table shows the distribution of male (M) and female (F) athletes who participated in an Annual Sports Event from five different countries A-E over the year 2016 to 2021. Based on the data in the table, answer the questions.

Year-wise Country-wise Distribution of Althletes.

Countries→ABCDE
Year↓MFMFMFMFMF
2016220165315210225155280205235105
2017330210420310345165420315390260
201823090370240240140465365435325
2019480245570420330210630470445290
2020590320530260390315720510590460
2021410260320360540345780605680490

The difference between the number of male and female athletes from country C was the second highest in the year ________.

The correct answer is

2017

Analyzing Athlete Data from Country C

The question asks us to find the year when the difference between the number of male and female athletes from Country C was the second highest, based on the provided table showing athlete distribution from 2016 to 2021 across five countries.

Extracting Data for Country C

First, let's isolate the athlete data specifically for Country C for each year from the given table.

Year Country C (Male) Country C (Female)
2016 240 140
2017 345 165
2018 240 140
2019 330 210
2020 390 315
2021 540 345

Calculating the Difference

Next, we calculate the absolute difference between the number of male and female athletes for Country C in each year. We use the absolute difference because we are interested in the magnitude of the difference, not whether males or females were more numerous.

  • Year 2016: Difference = $|240 - 140| = 100$
  • Year 2017: Difference = $|345 - 165| = 180$
  • Year 2018: Difference = $|240 - 140| = 100$
  • Year 2019: Difference = $|330 - 210| = 120$
  • Year 2020: Difference = $|390 - 315| = 75$
  • Year 2021: Difference = $|540 - 345| = 195$

Ranking the Differences

Now, let's list the calculated differences and rank them from highest to lowest:

  • 2021: 195 (Highest difference)
  • 2017: 180 (Second highest difference)
  • 2019: 120
  • 2016: 100
  • 2018: 100
  • 2020: 75 (Lowest difference)

Identifying the Year with the Second Highest Difference

Based on the ranking, the second highest difference in the number of male and female athletes from Country C is 180, which occurred in the year 2017.

Therefore, the difference between the number of male and female athletes from country C was the second highest in the year 2017.

Revision Table: Country C Athlete Difference

Year Male Athletes (C) Female Athletes (C) Difference Rank of Difference
2016 240 140 100 4th/5th
2017 345 165 180 2nd
2018 240 140 100 4th/5th
2019 330 210 120 3rd
2020 390 315 75 6th
2021 540 345 195 1st

Additional Information: Analyzing Data Trends

Analyzing tables like this involves understanding how to extract specific data points, perform calculations (like finding differences, sums, averages, or percentages), and then compare and rank results across different categories or time periods. In this case, we focused only on the difference for Country C, but similar analysis could be done for other countries or for other metrics, such as total athletes per country per year, or changes in numbers over time.

When comparing differences, it's important to decide whether to use the simple difference ($\text{Male} - \text{Female}$) which could be positive or negative, or the absolute difference ($|\text{Male} - \text{Female}|$), which always gives a non-negative value representing the magnitude of the disparity. The question implicitly asks for the magnitude by asking for the "difference" in the context of ranking, making the absolute difference the appropriate calculation.

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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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