Listed below are the durations (in hours) of a simple random sample of all flights of a space shuttle program. Find the range, variance, and standard deviation for the sample data. Is the lowest duration time usual? Why or why not.
75 98 234 191 161 264 190 374 254 231 390 330 227 246 0
a) The range of the sample data is _______ hours. (Enter integer or decimal)
b) The variance of the sample data is _______. (Enter integer or decimal)
c) The standard deviation of the sample data is _______. (Enter integer or decimal)
Is the lowest duration time usual? Why or why not? Choose from the answers below:
a) No, because it is within two standard deviations of the mean
b) No because the sample is random
c) Yes, because the lowest value in a data set is usually an outlier
d) Yes, because it is more than two standard deviations below the mean