The following information was collected from a simple random sample of a population. 16 19 18 17 20 18. The point estimate of the population

Question

The following information was collected from a simple random sample of a population. 16 19 18 17 20 18. The point estimate of the population standard deviation isa. 2.000b. 1.291c. 1.414d. 1.667

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Aaliyah 2 weeks 2022-01-08T21:42:32+00:00 1 Answer 0 views 0

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    2022-01-08T21:44:29+00:00

    Answer:( c ) 1.414

    Step-by-step explanation:

    Let m be mean

    M=mean=sum/n

    M= (16+19+18+17+20+18) / 6

    M=108/6

    M=18

    Let start finding:

    The standard deviation formula is= sqrt( Summation of |x-m|^2 / n-1)

    |x-m|^2

    For 1st: |16-18|^2=4

    For 2nd: |19-18|^2=1

    For 3rd: |18-18|^2=0

    For 4th: |17-18|^2=1

    For 5th: |20-18|^2=4

    For 6th: |18-18|^2=0

    Summation of |x-m|^2 =10

    The standard deviation formula is :

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

    S.D= sqrt(10 / 5)

    S.D=sqrt(2)

    S.D= 1.414

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