A college has four programs B.A., B.Sc., B.Com. and B.B.A. The results of the mid-semester and end-semester tests are shown in the table given below.Results Number of students Β.Α. B.Sc. B.Com. Β.Β.Α. Failed in both tests 28 23 17 27 Failed in mid-semester test but passed in end-semester test 14 12 8 13 passed in mid-semester test but failed in end-semester test 6 17 9 15 Passed in both tests 64 55 46 76
Calculating Total Students Across College Programs
To find the total number of students in the four programs (B.A., B.Sc., B.Com., B.B.A.), we need to sum the counts for all categories within each program and then sum the totals for all programs.
B.A. Program Total
Students in B.A. = Failed in both + Failed mid, passed end + Passed mid, failed end + Passed both
B.A. = $28 + 14 + 6 + 64 = 112$ students
B.Sc. Program Total
Students in B.Sc. = Failed in both + Failed mid, passed end + Passed mid, failed end + Passed both
B.Sc. = $23 + 12 + 17 + 55 = 107$ students
B.Com. Program Total
Students in B.Com. = Failed in both + Failed mid, passed end + Passed mid, failed end + Passed both
B.Com. = $17 + 8 + 9 + 46 = 80$ students
B.B.A. Program Total
Students in B.B.A. = Failed in both + Failed mid, passed end + Passed mid, failed end + Passed both
B.B.A. = $27 + 13 + 15 + 76 = 131$ students
Overall Student Count
Total students in all four programs = B.A. Total + B.Sc. Total + B.Com. Total + B.B.A. Total
Total Students = $112 + 107 + 80 + 131 = 430$ students
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?
