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.Year A (in thousands) B (in thousands) C (in thousands) D (in thousands) E (in thousands) 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
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 |
Calculation Steps:
Production of A = 29
Total Production = $29 + 45 + 26 + 15 + 32 = 147$
Average Production = $\\frac{147}{5} = 29.4$
Difference = $|29 - 29.4| = 0.4$
Production of A = 32
Total Production = $32 + 52 + 58 + 26 + 35 = 203$
Average Production = $\\frac{203}{5} = 40.6$
Difference = $|32 - 40.6| = 8.6$
Production of A = 28
Total Production = $28 + 54 + 92 + 24 + 39 = 237$
Average Production = $\\frac{237}{5} = 47.4$
Difference = $|28 - 47.4| = 19.4$
Production of A = 26
Total Production = $26 + 58 + 86 + 27 + 34 = 231$
Average Production = $\\frac{231}{5} = 46.2$
Difference = $|26 - 46.2| = 20.2$
Production of A = 23
Total Production = $23 + 63 + 82 + 28 + 34 = 230$
Average Production = $\\frac{230}{5} = 46.0$
Difference = $|23 - 46.0| = 23.0$
Comparing the differences calculated for each year:
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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