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Math 10 PETA Alethea Chloe Gallentes Part 1 In a survey conducted within Grade 10-Justice to obtain the information on their nightly sleep average, 13 students have responded. Following are the results: Data set: 3, 3, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 9 Total Number (n): 13 K: Square root of 13 is 3.6 or 4 Range: 9-3 = 6 Width (i): 6/4 = 1.5 or 3 (the nearest odd number) Frequency Distribution Table: Class Interval Frequency Lower Class Boundary Less Than Cumulative Frequency 3 - 5 4 2.5 13 6 - 8 8 5.5 9 9 - 11 1 8.5 1 12 - 14 0 11.5 0 i = 3 N = 13
Finding Q3, D10, and P99: Quartile: A. Q3 = KN/ Q3 = 3(13)/ Q3 = 9. B. Q3 = 2.5 + [9.75-9/4] Q3 = 3. Interpretation: Q3 is at 3.0625, meaning that 75% of the Grade 10-Justice students surveyed have a nightly sleep average of 3.0625 hours or less. Decile: A. D10 = KN/ D10 = 10(13)/ D10 = 13 B. D10 = 2.5 + [13-9/4] D10 = 5. Interpretation: D10 is at 5.5, indicating that 100% of the students surveyed have a nightly sleep average of 5.5 hours or less. Percentile: A. P99 = KN/ P99 = 99(13)/ P99 = 12. B. P99 = 2.5 + [12.87-9/4] P99 = 5. Interpretation: P99 is at 5.4025, implying that 99% of the surveyed students have a nightly sleep average of 5.4025 hours or less. Conclusion: The Grade 10-Justice students need more sleep :( Part 2 Article #1: https://pidswebs.pids.gov.ph/CDN/PUBLICATIONS/pidsdps2022.pdf In finance news, articles discuss the distribution of income or wealth across different demographic groups, using measures such as quartiles or percentiles to analyze and compare these distributions. Article #2: https://wise.com/us/blog/healthcare-system-in-the-philippines In healthcare news, articles discuss the distribution of health outcomes or medical costs across different regions or populations, using measures of position to describe these distributions.
