Question

A travel photographer visits 10 paradise locations (N = 10) and rates each sequentially. 7, 5, 8, 5, 1, 9, 8, 11, 7, and 6 Using the computational formula, what is the SS and σ2? SS = σ2 =

Answer 1

Here SS means sum of square

Results

• Variance: 7.344444444444447
• Standard Deviation: 2.71006354989038

Explanation

1. First, I added up all of the numbers:1 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 9 + 11 = 67
2. I squared the total, and then divided the number of items in the data set67 x 67 = 4489
   4489 / 10 = 448.9
3. I took my set of original numbers from step 1, squared them individually this time, and added them all up:(1 x 1) + (5 x 5) + (5 x 5) + (6 x 6) + (7 x 7) + (7 x 7) + (8 x 8) + (8 x 8) + (9 x 9) + (11 x 11) = 515
4. I subtracted the amount in step 2 from the amount in step 3:515 - 448.9 =66.10000000000002
5. I subtracted 1 from the number of items in my data set:10 - 1 = 9
6. I divided the number in step 4 by the number in step 5:66.10000000000002 / 9 =7.344444444444447
   This is my Variance!
7. Finally, I took the square root of the number from step 6 (the Variance),
   √(7.344444444444447) = 2.71006354989038
   This is my Standard Deviation!

Here

I took my set of original numbers from step 1, squared them individually this time, and added them all up:(1 x 1) + (5 x 5) + (5 x 5) + (6 x 6) + (7 x 7) + (7 x 7) + (8 x 8) + (8 x 8) + (9 x 9) + (11 x 11) = 515

hence ss= 515

​​​​​​​Please like ??