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categoryإحصاء schoolبكالوريوس event_available2026-07-16

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6-41. The United States Golf Association tests golf balls to ensure that they conform to the rules of golf. Balls are tested for weight, diameter, roundness, and overall distance. The overall distance test is conducted by hitting balls with a driver swung by a mechanical device nicknamed "Iron Byron" after the legendary great Byron Nelson, whose swing the machine is said to emulate. Following are 100 distances (in yards) achieved by a particular brand of golf ball in the overall distance test. Construct a stem-and-leaf diagram for these data and comment on any important features that you notice. Compute the sample mean, sample standard devia- tion, and the sample median. What is the 90th percentile of distances? 261.3 259.4 265.7 270.6 274.2 261.4 254.5 283.7 258.1 270.5 255.1 268.9 267.4 253.6 234.3 263.2 254.2 270.7 233.7 263.5 244.5 251.8 259.5 257.5 257.7 272.6 253.7 262.2 252.0 280.3 274.9 233.7 237.9 274.0 264.5 244.8 264.0 268.3 272.1 260.2 255.8 260.7 245.5 279.6 237.8 278.5 273.3 263.7 241.4 260.6 280.3 272.7 261.0 260.0 279.3 252.1 244.3 272.2 248.3 278.7 236.0 271.2 279.8 245.6 241.2 251.1 267.0 273.4 247.7 254.8 272.8 270.5 254.4 232.1 271.5 242.9 273.6 256.1 251.6 256.8 273.0 240.8 276.6 264.5 264.5 226.8 255.3 266.6 250.2 255.8 285.3 255.4 240.5 255.0 273.2 251.4 276.1 277.8 266.8 268.5

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