sum of scores: 24
mean of scores : 24/4 = 6
squared deviations from the mean: 9, 4,4,9
sum of these: 26
sample variance: 26/4 = 6.5
5.142857143 is the mean.12.43956044 is the variance.3.526976104 is the standard deviation.
Standard deviation is the square root of the variance; so if the variance is 64, the std dev is 8.
The variance of this data set is 22.611
4+3+1 4+3=7+1=8
11 + 4, 12 + 3, 13 + 2, 14 + 1, 15 + 0, 15 - 0, 16 - 1, 17 - 2, 18 - 3, 19 - 4, 20 - 5, 21 - 6, 22 - 7, 23 - 8, 24 - 9, 1*6 + 9, 1*7 + 8, 1*8 + 7, 1*9 + 6, 2*3 + 9, 2*4 + 7, 2*5 + 5, 2*6 + 3, 2*7 + 1, 2*8 - 1, 2*9 - 3 3*2 + 9, 3*3 + 6, 3*4 + 4, 3*5 + 0, 3*6 - 3, 3*7 - 6, 3*8 - 9 4*2 + 7, 4*3 + 3, 4*4 - 1, 4*5 - 5, 4*6 - 9 5*2 + 5, 5*3 + 0, 5*4 - 5 6*1 + 9, 6*2 + 3, 6*3 - 3, 6*4 - 9 7*1 + 8, 7*2 + 1, 7*3 - 6 8*1 + 7, 8*2 - 1, 8*3-9 9*1 + 6, 9*2 - 3 1*3*5 Is that enough?
The variance of 5 9 8 9 9 = 3
It is 8.24
The variance is: 3.8
The variance is 10.
26.66...
7 + 4 + 9 + 8 + 2 = 30 So mean = 30/5 = 6 72 + 42 + 92 + 82 + 22 = 214 So variance = 214/5 - 62 = 42.8 - 36 = 6.8
3 perfect scores.
5.142857143 is the mean.12.43956044 is the variance.3.526976104 is the standard deviation.
7
5.22222222..... To calculate mean you add all the numbers, then divide by the number of numbers.
Standard deviation is the square root of the variance; so if the variance is 64, the std dev is 8.
2 3/4 + 3/8 = (2×4+3)/4 + 3/8 = 11/4 + 3/8 = (11×2)/(4×2) + 3/8 = 22/8 + 3/8 = (22+3)/8 = 25/8 = (3×8+1)/8 = 3 1/8