Given the following sot of population data find the moan 461

Given the following sot of population data, find the moan 4612872 Find the variance for the following sample data given that the mean is 10 5 8 9. 10. 13. 15

Solution

Q3.

Mean = Sum of observations/ No.of Observations = (4+6+1+2+8+7+2)/7 = 4.286

d. U = 4.286

Q4.

Step 1:Add them up:
5 + 8 + 9 + 10 + 13 + 15 = 60

Step 2: Square your answer:
60 × 60 = 3600
…and divide by the number of items. We have 6 items in our example so:
3600 / 6 = 600
Set this number aside for a moment.

Step 3: Take your set of original numbers from Step 1, and square them individually this time:
5^2 + 8^2 + 9^2 + 10^2 + 13^2 + 15^2 = 664

Step 4: Subtract the amount in Step 2 from the amount in Step 3.
664 – 600 = 64
Set this number aside for a moment.

Step 5: Subtract 1 from the number of items in your data set. For our example:
6 – 1 = 5

Step 6: Divide the number in Step 4 by the number in Step 5. This gives you the variance:
64 / 5 = 12.8
How to find the sample variance and standard deviation: Standard Deviation

Step 7: Take the square root of your answer from Step 6. This gives you the standard deviation:

12.8 = 3.578