In: Statistics and Probability
The following data represent the flight time (in minutes) of a random sample of seven flights from one city to another city.
282,
268,
258,
264,
255,
261,
267
Compute the range and sample standard deviation of flight time.
The range of flight time is_______minutes.
Solution :
Given that 282 , 268 , 258 , 264 , 255 , 261 , 267
=> The range of data set is = 27
Explanation :-
=> The range is the difference between the highest and lowest values in the data set.
Ordering the data from least to greatest, we get:
255 258 261 264 267 268 282
=> The lowest value is 255
=> The highest value is 282
=> The range = 282 - 255 = 27
=> The range of flight time is 27 minutes.
=> The sample standard deviation of the data set is σ = 8.8318
=> The standard deviation of the flight time is 8.8318 minutes