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
Program Difficulty Comparison
The objective is to identify the program with the least difficult mid-semester test. The criterion used is the number of students passing the test.
A test is considered least difficult when the highest number of students pass it. To find this, we calculate the total number of students who passed the mid-semester test for each program.
Students who passed the mid-semester test are those who either:
- Passed the mid-semester test but failed the end-semester test.
- Passed both the mid-semester and end-semester tests.
Calculate Mid-Semester Passers
From the given table, the relevant data for students passing the mid-semester test are:
| Results | B.A. | B.Sc. | B.Com. | B.B.A. |
|---|---|---|---|---|
| Passed in mid-semester test but failed in end-semester test | 6 | 17 | 9 | 15 |
| Passed in both tests | 64 | 55 | 46 | 76 |
Now, calculate the total number of students who passed the mid-semester test for each program:
- B.A.: $6 + 64 = 70$ students
- B.Sc.: $17 + 55 = 72$ students
- B.Com.: $9 + 46 = 55$ students
- B.B.A.: $15 + 76 = 91$ students
Identify Least Difficult Mid-Semester Test
Compare the number of students passing the mid-semester test across all programs:
- B.A.: 70
- B.Sc.: 72
- B.Com.: 55
- B.B.A.: 91
The B.B.A. program recorded the highest number of students (91) passing the mid-semester test. This indicates that the mid-semester test for B.B.A. was the least difficult among the programs.
Important Questions from Data Interpretation
- What is the key advantage of using Geographic Information Systems (GIS) in disaster research?
- What will be the total area of land (million ha) of which 12% area is prone to flood and river erosion ?
The total runs scored by four cricketers P, Q, R, and S in years $2009$ and $2010$ are given in the following table:
Player $2009$ $2010$ P $802$ $1008$ Q $765$ $912$ R $429$ $619$ S $501$ $701$
The player with the lowest percentage increase in total runs isStudy the given table and answer the following question:
Annual consumption (in hundred tonnes) of tea in five states (A, B, C, D and E) across 6 years (2014 to 2019):State Year A B C D E 2014 112 130 136 105 117 2015 122 138 150 140 120 2016 124 134 142 144 132 2017 132 154 198 149 133 2018 135 148 187 151 145 2019 153 136 198 150 187 The total consumption of tea in state C in 2015 to 2017 is by what percentage more than the total consumption of tea in states A, B and D in 2015?
The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.
Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10 What is the total number of car toys of C2 and C3 taken together?
