Find the variance for the given data set 7 7 2 5 1Solution F

Find the variance for the given data set: [7, 7, 2, 5, 1]

Solution

First, I added up all of the numbers: 1 + 2 + 5 + 7 + 7 = 22 I squared the total, and then divided the number of items in the data set 22 x 22 = 484 484 / 5 = 96.8 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) + (5 x 5) + (7 x 7) + (7 x 7) = 128 I subtracted the amount in step 2 from the amount in step 3: 128 - 96.8 = 31.200000000000003 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: 31.200000000000003 / 4 = 7.800000000000001 This is Variance!