Question

In: Statistics and Probability

200 242 206 178 184 198 160 182 182 198 182 238 198 188 166 204...

200 242 206 178 184 198 160 182 182 198 182 238 198 188 166 204 182 178 212 164 230 186 162 182 218 170 200 176 175 202 200 199 210 250 172

1.) Using only the given data, find the chance (percent) that a randomly selected number is a value greater than or equal to 200.

2.) Using only the data, find the chance (percent) that a randomly selected number is a value less than 200.

Solutions

Expert Solution

x: Random number

x x-x̅ (x-x̅)^2
200 6.46 41.69
242 48.46 2348.09
206 12.46 155.18
178 -15.54 241.58
184 -9.54 91.07
198 4.46 19.87
160 -33.54 1125.12
182 -11.54 133.24
182 -11.54 133.24
198 4.46 19.87
182 -11.54 133.24
238 44.46 1976.44
198 4.46 19.87
188 -5.54 30.72
166 -27.54 758.61
204 10.46 109.35
182 -11.54 133.24
178 -15.54 241.58
212 18.46 340.67
164 -29.54 872.78
230 36.46 1329.12
186 -7.54 56.89
162 -31.54 994.95
182 -11.54 133.24
218 24.46 598.15
170 -23.54 554.27
200 6.46 41.69
176 -17.54 307.75
175 -18.54 343.84
202 8.46 71.52
200 6.46 41.69
199 5.46 29.78
210 16.46 270.84
250 56.46 3187.41
172 -21.54 464.09
Total= 6774 17350.69
x̅= 193.54


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