Comprehensive Driving Test Performance Analysis for April

Statistical Overview of Participation in April

  • The provided data set concerns the driving test outcomes for a cohort of individuals during the month of April.
  • The population of participants is segmented by gender as follows:   - Male Cohort: A total of 3030 males took their driving test.   - Female Cohort: A total of 2020 females took their driving test.
  • Total Population Calculation (NN):   - To find the total number of people who sat for the test, the male and female groups are combined: N=30+20=50N = 30 + 20 = 50.

Gender-Specific Performance Metrics

  • Male Pass and Fail Statistics:   - According to the transcript, the pass rate for the male cohort was 50%50\%.   - Calculation of Males who Passed: 50% of 30=50100×30=1550\% \text{ of } 30 = \frac{50}{100} \times 30 = 15.   - Calculation of Males who Failed: Since 3030 males took the test and 1515 passed, the remaining candidates represent the failures.   - Total male failures = 30−15=1530 - 15 = 15.
  • Female Pass and Fail Statistics:   - The transcript states that the pass rate for the female cohort was 40%40\%.   - Calculation of Females who Passed: 40% of 20=40100×20=840\% \text{ of } 20 = \frac{40}{100} \times 20 = 8.   - Calculation of Females who Failed: Since 2020 females took the test and 88 passed, the remaining candidates represent the failures.   - Total female failures = 20−8=1220 - 8 = 12.

Aggregate Failure Rate Calculation

  • To determine the percentage of all test-takers who failed, individual counts from both cohorts must be aggregated.
  • Total Failures (FtotalF_{total}):   - Ftotal=15 (males)+12 (females)F_{total} = 15\,(\text{males}) + 12\,(\text{females})   - Ftotal=27F_{total} = 27.
  • Calculating the Percentage of Failures (PfailP_{fail}):   - The percentage is found by dividing the total number of failures by the total number of participants and multiplying by 100100.   - Pfail=(2750)×100P_{fail} = (\frac{27}{50}) \times 100   - Pfail=0.54×100=54%P_{fail} = 0.54 \times 100 = 54\%.
  • Final Answer: The aggregate failure rate for all individuals who took the test in April is 54%54\%.

Document Identifiers and Administrative Metadata

  • Page Numbering: The information is located on Page 1.
  • Question Reference: The task is identified as L 9.
  • Marking Allocation: This specific question carries a weight of [3][3] marks.
  • Reference Codes and Identifiers:   - Specific Code: 13344.08 R13344.08\,\text{R}   - Identifier Barcode/String: "16GMC6109"   - Footer Identifier: 2323
  • Interactive Fields: The document includes an Answer % area for the student to record their final calculated value.
  • Navigational Instructions: The page footer contains the instruction [Turn over], indicating that the examination continues on the following page.