Question

In: Statistics and Probability

The following data represent the flight time​ (in minutes) of a random sample of seven flights...

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 .

The sample standard deviation of flight time is .

​(Type an integer or decimal rounded to one decimal place as​ needed.)

Solutions

Expert Solution

Solution:

Given that,

a ) The range is = Highest Value - Lowest Value

   = 282 - 255

= 327

The range of flight time is 327.0 minutes

x x - (x - )2
282 17 289
268 3 9
258 -7 49
264 -1 1
255 -10 100
261 -4 16
267 2 4
x = 1855 ( x - ) = 0 ( x - )2 = 468

b )The sample standard deviation is S

S = ( ( x - )2) / 1 -n )

= 468 / 6

   = 78

= 8.8

The sample standard deviation = 8.8 minutes

orchestra answered 1 year ago
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