1.3.3 The counsellor wrote in his report: "Two out of every five teenagers feel or an unbearable amount of pressure to achieve at school". Show how the counsellor could have come to this conclusion.

To understand how the counsellor arrived at the conclusion that "two out of every five teenagers feel an unbearable amount of pressure to achieve at school," we can break down the problem into several steps: 1. **Define the Population**: The counsellor is likely referring to a specific population of teenagers, which could be defined by age range (e.g., 13-19 years old) and possibly by location (e.g., a specific school, district, or community). 2. **Conduct a Survey**: The counsellor would need to conduct a survey or study to gather data on the feelings of teenagers regarding pressure to achieve at school. This could involve: - Designing a questionnaire that includes questions about their feelings of pressure. - Ensuring that the sample size is large enough to be representative of the population. 3. **Collect Data**: The counsellor would then collect responses from the teenagers. For example, if 100 teenagers were surveyed, the counsellor would record how many of them reported feeling an unbearable amount of pressure. 4. **Analyze the Results**: After collecting the data, the counsellor would analyze the responses. If, for instance, 40 out of 100 teenagers reported feeling an unbearable amount of pressure, this would be calculated as follows: - The fraction of teenagers feeling pressure = Number of teenagers feeling pressure / Total number of teenagers surveyed - In this case, it would be \( \frac{40}{100} = 0.4 \). 5. **Convert to a Ratio**: The counsellor could then express this fraction in terms of a ratio. Since 0.4 can be simplified to a ratio of 2 out of 5, the conclusion can be stated as: - "Two out of every five teenagers feel an unbearable amount of pressure to achieve at school." 6. **Report Findings**: Finally, the counsellor would compile the findings into a report, summarizing the methodology, results, and conclusions drawn from the data. In summary, the counsellor's conclusion is based on a systematic approach involving defining a population, conducting a survey, collecting and analyzing data, and then interpreting the results in a way that communicates the findings effectively.