Please can you help me (Probability)

posted by .

Whether multiplying the same number to each value in the data set will affect its variance, please can you gave me an example.
Thank you for your help.

  • Please can you help me (Probability) -

    Suppose the dataset is:
    x(i)=1,3,5,7,9
    sum=∑x=25
    mean=μ=25/5=5
    x(i)^2=1,9,25,49,81
    sum of squares=∑x^2=165
    Var(x)=(165-5^2)/5=28

    If all the numbers in the dataset are multiplied by 2:
    x(i)=2,6,10,14,18
    sum=∑x=50
    mean=μ=50/5=10
    x(i)^2=4,36,100,196,324
    sum of squares=∑x^2=660
    Var(x)=(660-10^2)/5=112 (=4*28)

    What can you say about the effect on variance of multiplying the dataset by a constant?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. stats

    A set of 50 data values has a mean of 30 and a variance of 4. I. Find the standard score (z) for a data value = 26. II. Find the probability of a data value < 26. I think the first part is z=(26-30)/4 = -4/4 = -1. I am not sure …
  2. Stats

    A set of 50 data values has a mean of 15 and a variance of 25. Find the standard score of a data value = 20. I'm not sure how to do this....please help
  3. Can someone help me please?

    A set of 50 data values has a mean of 15 and a variance of 25. Find the standard score of a data value = 20
  4. MATH

    A set of 50 data values has a mean of 18 and a variance of 4. I. Find the standard score (z) for a data value = 20. II. Find the probability of a data value < 20.
  5. MATH

    A set of 50 data values has a mean of 27 and a variance of 16. I. Find the standard score (z) for a data value = 19. II. Find the probability of a data value < 19. III. Find the probability of a data value > 19.
  6. Math....please help

    A set of 50 data values has a mean of 27 and a variance of 16. I. Find the standard score (z) for a data value = 19. II. Find the probability of a data value < 19. III. Find the probability of a data value > 19.
  7. Someone plz help me....i need help this is due now

    A set of 50 data values has a mean of 27 and a variance of 16. I. Find the standard score (z) for a data value = 19. II. Find the probability of a data value < 19. III. Find the probability of a data value > 19.
  8. Statistics

    A set of 50 data values has a mean of 27 and a variance of 16. I. Find the standard score (z) for a data value = 19. II. Find the probability of a data value < 19. III. Find the probability of a data value > 19. Show all work.
  9. math

    Please can you Use an example to explain whether multiplying the same number to each value in the data set will affect its variance, give the relationship
  10. Homework Help

    A set of 50 data values has a mean of 48 and a variance of 9. I. Find the standard score (z) for a data value = 43. II. Find the probability of a data value < 43.

More Similar Questions