Student Admission Ratio Analysis

The question asks to identify the year with the highest ratio of admitted students compared to the previous year. This involves calculating the total number of students admitted each year and then determining the year-over-year growth ratio.

Yearly Admissions Data

Calculate Total Students Per Year

Sum the number of students across all programs for each academic year:

• 2021 Total: 150 + 25 + 50 + 45 + 75 = 345 students
• 2022 Total: 225 + 40 + 45 + 62 + 70 = 442 students
• 2023 Total: 450 + 65 + 30 + 90 + 73 = 708 students
• 2024 Total: 470 + 73 + 35 + 105 + 70 = 753 students
• 2025 Total: 500 + 80 + 36 + 132 + 74 = 822 students

Calculate Year-on-Year Admission Ratios

Calculate the ratio of total students in a given year to the total students in the previous year:

• Ratio for 2022: \(\frac{442}{345} \approx 1.281\)
• Ratio for 2023: \(\frac{708}{442} \approx 1.602\)
• Ratio for 2024: \(\frac{753}{708} \approx 1.063\)
• Ratio for 2025: \(\frac{822}{753} \approx 1.092\)

Identify Highest Admission Ratio Year

Compare the calculated ratios:

• 1.281 (Year 2022)
• 1.602 (Year 2023)
• 1.063 (Year 2024)
• 1.092 (Year 2025)

The highest ratio is approximately 1.602, corresponding to the year 2023.