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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 nothing minutes.

Respuesta :

fahadisahadam

Answer: range = 27 and standard deviation= 8.83

Step-by-step explanation:

Range = highest - lowest

Range = 282 - 255

Range= 27

Let m be mean

M=mean=sum/n

Mean= (282+268+258+264+255+261+267) / 7

M=1855/7

M=265

The standard deviation sample formula:

S.D = sqrt( Summation of |x-m|^2 / n-1)

Let start finding:

|x-m|^2

For 1st: |282-265|^2=289

For 2nd: |268-265|^2=9

For 3rd: |258-265|^2=49

For 4th: |264-265|^2=1

For 5th: |255-265|^2=100

For 6th: |261-265|^2=16

For 7th: |267-265|^2=4

Summation of |x-m|^2 = 468

The standard deviation formula is :

S.D = sqrt( Summation of |x-m|^2 / n-1)

S.D= sqrt(468 / 6)

S.D=sqrt(78)

S.D= 8.83

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