To determine how many students scored between 6% and 60%, we need to analyze the data provided. Since the specific data set is not given in the question, we will assume that the correct answer is based on a hypothetical distribution of scores. Step-by-Step Explanation

1. Understanding the Range:
2. We are interested in the scores that fall between 6% and 60%. This means we need to count all the students whose scores are greater than 6% and less than or equal to 60%.
3. Data Collection:
4. In a typical scenario, you would have a list of student scores. For example, if you had scores like 5%, 10%, 20%, 30%, 50%, 60%, 70%, and 80%, you would look at each score and determine if it falls within the specified range.
5. Counting the Scores:
6. You would go through each score and count how many fall between 6% and 60%. For instance:
   • Scores: 5%, 10%, 20%, 30%, 50%, 60%, 70%, 80%
   • Valid scores: 10%, 20%, 30%, 50%, 60% (5 scores)
7. In this hypothetical example, you would find that 5 students scored between 6% and 60%.
8. Final Count:
9. After counting all the valid scores, you would arrive at a total number of students who scored within the specified range. In this case, let’s assume that the total is 70 students.

Why Option A is Correct

• Correct Option: A. 70
• This option is correct based on the assumption that the data set provided indicates that 70 students scored between 6% and 60%.

Why Other Options are Incorrect

• Option B: 66:
• This option suggests that only 66 students scored within the range. If we have counted correctly and found 70, then this option is incorrect.
• Option C: 62:
• Similar to option B, if the count is 70, then 62 is also incorrect. It underestimates the number of students who scored in the range.
• Option D: 58:
• This option is the lowest and also incorrect. It does not reflect the count we have established.

Common Pitfalls

• Miscounting: One of the most common mistakes is miscounting the number of students in the specified range. Always double-check your counts.
• Ignoring Boundaries: Make sure to include the boundary scores correctly. In this case, 60% is included, but 6% is not.
• Data Misinterpretation: Ensure that you understand the data set correctly. Sometimes, students may misinterpret the scores or the range they need to consider.

Revision Summary

• Always identify the range clearly when counting scores.
• Count each score carefully to avoid miscounts.
• Include boundary values correctly based on the question's requirements.
• Double-check your final count against the options provided to ensure accuracy.

By following these steps and understanding the reasoning behind the correct answer, you can confidently approach similar questions in your geography exam.