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Question

Study carefully the table given below and answer the question asked here under.
In this table, number (in thousands) of five types of products (i.e. A, B, C, D, E) manufactured against their respective year of manufacturing are given.
YearA (in thousands)B (in thousands)C (in thousands)D (in thousands)E (in thousands)
20212945261532
20223252582635
20232854922439
20242658862734
20252363822834

During which of the following years, manufacturing of product A was approximately equal to the average production of that year?

The correct answer is
2021

Production Data Analysis

The question asks to identify the year where the manufacturing of product A was approximately equal to the average production of all products manufactured in that specific year.

We need to calculate the average production for each year and compare it with the production of product A for the same year.

The table provides the following data (in thousands):

Year A B C D E
2021 29 45 26 15 32
2022 32 52 58 26 35
2023 28 54 92 24 39
2024 26 58 86 27 34
2025 23 63 82 28 34

Yearly Average Calculation and Comparison

Calculation Steps:

  1. For each year, sum the production of all products (A, B, C, D, E).
  2. Divide the sum by 5 to find the average production for that year.
  3. Calculate the absolute difference between the production of product A and the yearly average.
  4. Identify the year with the smallest difference.

2021 Analysis

Production of A = 29

Total Production = $29 + 45 + 26 + 15 + 32 = 147$

Average Production = $\\frac{147}{5} = 29.4$

Difference = $|29 - 29.4| = 0.4$

2022 Analysis

Production of A = 32

Total Production = $32 + 52 + 58 + 26 + 35 = 203$

Average Production = $\\frac{203}{5} = 40.6$

Difference = $|32 - 40.6| = 8.6$

2023 Analysis

Production of A = 28

Total Production = $28 + 54 + 92 + 24 + 39 = 237$

Average Production = $\\frac{237}{5} = 47.4$

Difference = $|28 - 47.4| = 19.4$

2024 Analysis

Production of A = 26

Total Production = $26 + 58 + 86 + 27 + 34 = 231$

Average Production = $\\frac{231}{5} = 46.2$

Difference = $|26 - 46.2| = 20.2$

2025 Analysis

Production of A = 23

Total Production = $23 + 63 + 82 + 28 + 34 = 230$

Average Production = $\\frac{230}{5} = 46.0$

Difference = $|23 - 46.0| = 23.0$

Conclusion

Comparing the differences calculated for each year:

  • 2021: 0.4
  • 2022: 8.6
  • 2023: 19.4
  • 2024: 20.2
  • 2025: 23.0

The smallest difference is 0.4, which occurred in the year 2021. Therefore, during 2021, the manufacturing of product A was approximately equal to the average production of that year.

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Important Questions from Tabulation

  1. What is the ratio of total number of patients recovered from covid-19 in April to total number of patients recovered from covid-19 in March?

  2. In which state, the number of patients who recovered from covid-19 steadily decreasing?

  3. What is the average number of patients who recovered from Covid-19 in Madhya Pradesh in four months?

  4. Find the difference between the total number of patients recovered from Covid-19 in all months in Punjab and the total number of patients recovered from Covid-19 in all months in Rajasthan.

  5. In February 2021 the number of patients recovered from Covid-19 in Punjab is how much approximant percent more/less than the number of patients recovered from Covid-19 Uttar Pradesh in the same month?

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