The sum of deviations from the mean, for any set of numbers, is always zero. For this reason it is quite useless.
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What is mean deviation and why is quartile deviation better than mean deviation?
No, a standard deviation or variance does not have a negative sign. The reason for this is that the deviations from the mean are squared in the formula. Deviations are squared to get rid of signs. In Absolute mean deviation, sum of the deviations is taken ignoring the signs, but there is no justification for doing so. (deviations are not squared here)
A set of numbers will have a mean, which is defined as the sum of all the values divided by the number of values. Suppose this mean is m. For each of the values, the squared deviation is the square of the difference between that value and m. Algebraicly, if you have a set {x1, x2, x3, ... , xn}, whose mean is m, then the squared deviation from the mean for x1 is (x1 - m)2.
Information is not sufficient to find mean deviation and standard deviation.
Program in CHere is a program in C to calculate mean variance and standard deviation: #include#includevoid main(){float a[50],sum=0,vsum=0,mean,variance,sd;int n,i;printf("Enter the no of valus");scanf("%d",&n);printf("Enter the no of valus");for(i=0;i