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
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:
- For each year, sum the production of all products (A, B, C, D, E).
- Divide the sum by 5 to find the average production for that year.
- Calculate the absolute difference between the production of product A and the yearly average.
- 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.
Important Questions from Tabulation
- An object is placed beyond the centre of curvature (C) of a concave mirror. The image formed will be now:
Directions:
Using the data from the graph answer the question below:
Find the total number of males from sector P and females from sector R together.
Ratio of number of male and female employees
Male Female P 6 7 Q 5 9 R 9 8 S 7 8 T 3 5 Directions:
Using the data from the graph answer the question below:
Number of Employees working in 5 different sector:
Find the number of males from sector Q.
Ratio of number of male and female employees:
Male Female P 6 7 Q 5 9 R 9 8 S 7 8 T 3 5 Directions:
Using the data from the graph answer the question below:
Find the ratio between number of males from the sector T to number of females from the sector S.
Directions:
Using the data from the graph answer the question below:
Find the total number of males from sector Q and females from sector P together.
