Listed below are the duration (in hours)of a simple random sample of all flights
ID: 3135368 • Letter: L
Question
Listed below are the duration (in hours)of a simple random sample of all flights of a soace shuttle program. Find the range, variance, standard deviation for the sample data .Is the lowest duration time unusual? Why or why not?
71 95 239 193 166 270 199 374 258 232 389 339 224 250 0
a range
b variance
c standard deviation
d Is the lowest duration unusual? why or why not
A yes bcos it is more than two standard deviations below the mean
B no bcos it is within teo standard devaitions of the mean
C no bcos the sample is random
D yes bcos the lowest value in a data set is usually an outlier
Explanation / Answer
from the data given above we need to calculate the avlue of range and other things
A) range = maximum - minimum = 389-0 = 389
b & c) varaiance and standard deviation will be calculated together
the formula for variance =
while the standard deviation = variance^(1/2)
now appying the formula
d) yes the lowest duration is unusual as duration is given as 0 which is not possible hence it will be an outlier
hence option d is correct.
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