Number of students in different academic programs of a college are provided year-wise.Year Number of students admitted in different programs B.A. B.Sc. B.B.A. B. Com. B.C.A 2021 150 25 50 45 75 2022 225 40 45 62 70 2023 450 65 30 90 73 2024 470 73 35 105 70 2025 500 80 36 132 74
To determine the year in which the ratio of admitted students in the B.A. program to those in all the programs is the lowest, we need to calculate the ratio for each year and compare them.
Step 1: Calculate Total Students for Each Year
- For 2021: Total students = 150 (B.A.) + 25 (B.Sc.) + 50 (B.B.A.) + 45 (B.Com.) + 75 (B.C.A) = 345
- For 2022: Total students = 225 + 40 + 45 + 62 + 70 = 442
- For 2023: Total students = 450 + 65 + 30 + 90 + 73 = 708
- For 2024: Total students = 470 + 73 + 35 + 105 + 70 = 753
- For 2025: Total students = 500 + 80 + 36 + 132 + 74 = 822
Step 2: Compute the Ratio of B.A. Students to Total Students for Each Year
- For 2021: Ratio = \(\frac{150}{345}\)
- For 2022: Ratio = \(\frac{225}{442}\)
- For 2023: Ratio = \(\frac{450}{708}\)
- For 2024: Ratio = \(\frac{470}{753}\)
- For 2025: Ratio = \(\frac{500}{822}\)
Step 3: Calculate the Numerical Value of Each Ratio
- 2021: \(\frac{150}{345} \approx 0.4348\)
- 2022: \(\frac{225}{442} \approx 0.5090\)
- 2023: \(\frac{450}{708} \approx 0.6356\)
- 2024: \(\frac{470}{753} \approx 0.6245\)
- 2025: \(\frac{500}{822} \approx 0.6083\)
Conclusion: The lowest ratio of B.A. students to total students occurs in the year 2021, with a ratio of approximately 0.4348.
Important Questions from Data Interpretation
The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?
Expense Amount Food 5,000 Rent 20,000 Travel 10,000 Clothing 3,000 Miscellaneous 15,000 Savings 7,500 Who had the best score on either test?
Who had the most consistent scores on both tests?
Who had the least consistent scores on both tests?
Who had the poorest score on either test?
