Subjects statistics

Radio Playtime B3618B

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1. **State the problem:** We are comparing two crank-powered radios based on their play times after cranking 15 times. We want to summarize which radio performs better and how consistent their play times are. 2. **Data given:** - Secure Hike Emergency Radio play times (minutes): 21, 22, 24, 25, 25, 25, 25, 26, 27, 29, 30, 30, 30, 30, 33 - X-Treamline Crank Radio play times (minutes): 25, 25, 27, 27, 28, 29, 30, 30, 30, 34, 36, 36, 38, 39, 42 3. **Calculate range for each radio:** - Range = max - min - Secure Hike: max = 33, min = 21, so range = $33 - 21 = 12$ - X-Treamline: max = 42, min = 25, so range = $42 - 25 = 17$ 4. **Calculate median for each radio:** - Secure Hike median is near 27 (given) - X-Treamline median is near 30 (given) 5. **Interpretation:** - The X-Treamline radio has a larger range (17) compared to Secure Hike (12), so its play times are less consistent. - The X-Treamline radio has a higher median play time (30) than Secure Hike (27), so it plays longer on average. 6. **Conclusion:** The range of play times is LESS CONSISTENT for the X-Treamline Crank Radio, but it plays for LONGER than the Secure Hike Emergency Radio.