1. **State the problem:** We have a set of scores from Grade 7 learners and need to analyze the frequency distribution to answer questions about highest and lowest frequencies, and how tables and bar graphs help visualize data. 2. **Create a frequency distribution table:** List each unique score and count how many times it appears. Scores: 20, 22, 23, 24, 25, 26, 27, 28, 29, 30 Count each: - 20 appears 3 times - 22 appears 1 time - 23 appears 2 times - 24 appears 2 times - 25 appears 2 times - 26 appears 4 times - 27 appears 1 time - 28 appears 1 time - 29 appears 2 times - 30 appears 6 times 3. **Answer question 1:** The score with the highest frequency is 30, appearing 6 times. 4. **Answer question 2:** The scores with the lowest frequency are 22, 27, and 28, each appearing once. 5. **Explain how the bar graph helps (question 3):** A bar graph visually represents frequencies with bars. The tallest bar corresponds to the highest frequency, making it easy to see which score group has the most students at a glance. 6. **Explain how the table organizes data (question 4):** The frequency table organizes data by listing each score alongside its frequency, making it easier to compare counts and identify patterns. 7. **Similarities between table and bar graph (question 5):** Both display the same frequency information; the table uses numbers, and the bar graph uses visual bars. Both help identify which scores are most or least common. 8. **If only raw scores were given (question 6):** It would be harder to see patterns because raw data is unordered and ungrouped. Frequency tables and bar graphs summarize and organize data, making patterns clearer. Final answers: - Highest frequency score: 30 - Lowest frequency scores: 22, 27, 28 This analysis helps understand data distribution effectively.