======Dart Drop Accuracy, Precision, and Uncertainty====== **Materials: **{{$demo.materials_description}}\\ **Difficulty: **{{$demo.difficulty_description}}\\ **Safety: **{{$demo.safety_description}}\\ \\ **Categories:** {{$demo.categories}} \\ **Alternative titles:** ====Summary==== {{$demo.summary}} ====Procedure==== - Tape a printed target to a flat board (wood or particle board) and place it on the floor. - Select three noticeably different darts; assign one primary dropper and two additional droppers. - Measure and mark drop heights (e.g., 2 ft, 4 ft, 6 ft) using a tape measure. - For each trial, drop the specified dart from the specified height the required number of times (e.g., 8 drops), keeping the dart vertical and releasing without push. - After each drop, mark the hole location on the target (or photograph) so hits from each trial are distinguishable; use a fresh target per trial. - Record polar coordinates for each hit: radius (distance from center) and angle; organize data in a table for every trial. - Compute for each trial: average radius (accuracy proxy), standard deviation of radius (uncertainty), and plot average radius with ±1σ error bars. - Compare conditions by plotting: - Average radius vs drop height (constant dart and dropper). - Average radius vs number of drops (constant dart, height, dropper). - Average radius vs dart type (constant height and dropper). - Average radius vs dropper (constant dart and height). - Summarize findings: identify which variables most affected accuracy and precision; note any outliers and likely causes. ====Links==== 📄 Simple and Fun Experiment Demonstrating Accuracy, Precision, and Uncertainty - Charles Baukal: [[file:///C:/Users/ameier/Downloads/simple-and-fun-experiment-demonstrating-accuracy-precision-and-uncertainty%20(1).pdf]]\\ ====Variations==== * Add a short “practice” set before official trials to reduce learning effects, then compare with first official trial. * Increase the maximum number of drops (e.g., 20) to test how sample size changes standard deviation. * Use heavier vs lighter darts to test mass effects; repeat under a fan to probe air-current sensitivity. * Replace the circular target with concentric scoring rings to enable a scoring-based accuracy metric. * Run outdoors vs indoors to compare environmental effects. ====Safety Precautions==== * Darts are sharp - no horseplay, keep a clear zone around the drop area. * Wear closed-toe shoes; never reach over the target while someone is dropping. * Lift darts straight up from the board to avoid splinters and tip damage. * Use a sturdy backer (particle board preferred) to protect floors and prevent bounce. * Step stools or ladders (if used for higher drops) require adult supervision and three-point contact. ====Questions to Consider==== * What is the difference between accuracy and precision? (Accuracy = closeness to true value/center; precision = tightness of clustering regardless of center.) * Did increasing the number of drops change your uncertainty? (Often the standard deviation estimate stabilizes with more data; report your trend.) * How did drop height affect accuracy and precision, and why might that be? (Greater height can increase scatter due to small alignment errors and air currents.) * Did dart type (mass/shape) matter? (Heavier darts may be less affected by air currents; compare your averages and spreads.) * Which contributed more to variability—equipment (dart/height) or human factors (dropper)? (Support with your error-bar comparisons.) * How would you redesign the experiment to reduce confounding variables? (Standardized practice, identical dart sets, randomized trial order, blinding of droppers.)