Question

The following data represent the flight time (in minutes) of a random sample of seven flights from one city to another city. 286, 289, 25e, 285, 256, 263, 257 Compute the range and sample standard deviation of fight time. The ange of tignt time minutes isminutes. The sample standard deviation of flight time is minutes. (Type an integer or decimal rounded to one decimal place as needed.)

Answer 1

Solution:

Given that,

286,269,259,265,256,263,257

n = 7

Range = Maximum value - Minimum value

= 286 - 256

= 30

Range = 30 minutes

Sample standard deviation is s

s =  $\sqrt$ 1/(n-1)$\sum$(x -$\bar x$  )²

⁼  $\sqrt$1/6 (286 - 265 )²+ (269 - 265 )²+ (259 - 265 )²+ (265- 265 )² +( 256 - 265 )²+ (263 - 265 )² + (257 - 265)²)

= $\sqrt$ 1/6 (441+16+36+0+81+4+64 )

= $\sqrt$ 642/6

= $\sqrt$ 107

= 10.3

Sample standard deviation is s = 10.3 minutes.