Given a set of n scores, the variance is sum of the squared deviation divided by n or n-1. We divide by n for the population and n-1 for the sample.
Average = (0+0+1+2+3)/5 = 1.2 Variance = 1/N * SUM (x-E(x))2 = 1/5 * 6.8 = 1.36 Answer: Variance = 1.36
68% of the scores are within 1 standard deviation of the mean -80, 120 95% of the scores are within 2 standard deviations of the mean -60, 140 99.7% of the scores are within 3 standard deviations of the mean -40, 180
If a random variable X has a Normal distribution with mean M and variance S2, then Z = (X - M)/S
You have to add all of the three scores up. You will get a larger number than any of the three scores. You then divide your larger number by 3 and this will give you the average of the three scroes.
1500
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
Variance
Variance
The standard deviation is defined as the square root of the variance, so the variance is the same as the squared standard deviation.
mean
The variance is: 6.0
The variance is: 0.666666666667
Average = (0+0+1+2+3)/5 = 1.2 Variance = 1/N * SUM (x-E(x))2 = 1/5 * 6.8 = 1.36 Answer: Variance = 1.36
5
0.666666666667
99.7% of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution.
The variance and the standard deviation will decrease.