The variance of this data set is 22.611
11
First mean is calculated.Then calculate deviations from the mean.Then the deviations are squared.Then the squared deviations are summed up.Finally this sum is divided by number of items for which the variance is being calculated. For a population, it is by the number of values, in this case 12. If it is a sample, then we divide by one less, which is 11,For these figures, the variance for the population is 11069.24306. If it is a sample, it is 12075.53788 as the result.
For 8 9 9 9 10 11 11 12: σ=1.3562
5.142857143 is the mean.12.43956044 is the variance.3.526976104 is the standard deviation.
12
11
The variance is: 79.0
The variance is 7.0
The mode is the data set element(s) that is(are) repeated the most. If every data set element occurs the same number of times, there is no mode. As there is only one occurrence of each data set element in {11, 12, 13} there is no mode. If your data set read {11, 12, 12, 13, 13, 12} your mode would be 12. If your data set read {11, 12, 12, 13, 13} your modes would be 12 & 13.
First mean is calculated.Then calculate deviations from the mean.Then the deviations are squared.Then the squared deviations are summed up.Finally this sum is divided by number of items for which the variance is being calculated. For a population, it is by the number of values, in this case 12. If it is a sample, then we divide by one less, which is 11,For these figures, the variance for the population is 11069.24306. If it is a sample, it is 12075.53788 as the result.
11
Coefficient of Variance (CoV) is a non-dimensional value calculated by dividing the Standard Deviation of a data set by the algebraic mean (or Average) of the same dataset. Thus CoV = STDEV/AVERAGE. So, in Excel, at the bottom of a column of numbers representing your data set, say in cells B39 to B58, make cell B60 = AVERAGE(B39:B58), B61 = STDEV(B39:B58) and B62 = B61/B60. CoV is frequently expressed as a percentage, so B62 could be = 100*B61/B60
16,11,18,11,15,17,11
11
It is approx 2.828
The mean is 8.
The range of a set of data points is merely subtracting the lowest number from the highest number given in that set. For example, a data set that contains the points 4 ,7, 9, 20, 6, and 11, has the range of 20 - 4, or 16.