Question

1 point
9. If the variance of 1,2,3,4,
10 is 99/12, then S.D. of
3,6,9,12,...........,30 is
*​

Answer 1

Answer:

First, I added up all of the numbers:1 + 2 + 3 + 4 + 5 = 15

I squared the total, and then divided the number of items in the data set15 x 15 = 225

225 / 5 = 45

I took my set of original numbers from step 1, squared them individually this time, and added them all up:(1 x 1) + (2 x 2) + (3 x 3) + (4 x 4) + (5 x 5) = 55

I subtracted the amount in step 2 from the amount in step 3:55 - 45 = 10

I subtracted 1 from the number of items in my data set:5 - 1 = 4

I divided the number in step 4 by the number in step 5:10 / 4 = 2.5

This is my Variance!

Finally, I took the square root of the number from step 6 (the Variance),

√(2.5) = 1.5811388300841898

This is my Standard Deviation!