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Class 10 > Learn Mathematics > What are the properties of Arithmetic mean?
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What are the properties of Arithmetic mean?

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AM = SUM OF ALL OBSERVATION/TOTAL NO. OF OBSERVATION. A.M = (X1+X2+X3+X4+X5+...........+Xn)/n px1, px2, px3 for this mean.
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There are several properties of Arithmetic mean. Some of them include:- The sum of the deviations of the items taken from their arithmetic mean is zero. The sum of the squares of the deviations of the items taken from arithmetic mean is minimum. I am unable to incorporate formulas in this c...
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Properties of Mean: 1. If X is the arithmetic mean of n observations x1, x2, x3, . . xn; then (x1 - X) + (x2 - X) + (x3 - X) + ... + (xn - X) = 0. 2. The mean of n observations x1, x2, . . ., xn is X. If each observation is increased /decreased by p, the mean of the new observations is (X+ p). 3....
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Properties of Mean: 1. If X is the arithmetic mean of n observations x1, x2, x3, . . xn; then (x1 - X) + (x2 - X) + (x3 - X) + ... + (xn - X) = 0. 2. The mean of n observations x1, x2, . . ., xn is X. If each observation is increased /decreased by p, the mean of the new observations is (X+ p). 3. The mean of n observations x1, x2, . . .,xn is X. If each observation is multiplied by a nonzero number p, the mean of the new observations is pX. 4. The mean of n observations x1, x2, . . ., xn is X. If each observation is divided by a nonzero number p, the mean of the new observations is (X/p). read less
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1. The sum of the deviations, of all the values of x, from their arithmetic mean, is zero. 2.The product of the arithmetic mean and the number of items gives the total of all items. 3. If each observation is increased by p, then the new mean = bar x + p 4. If each observation is decreased by p, then...
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1. The sum of the deviations, of all the values of x, from their arithmetic mean, is zero. 2.The product of the arithmetic mean and the number of items gives the total of all items. 3. If each observation is increased by p, then the new mean = bar x + p 4. If each observation is decreased by p, then the new mean - bar x - p etc read less
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For n observations: x1, x2, x3, ..., xn; Arithmetic mean = (x1+x2+x3+...+xn)/n=(Sum of n observations) / (number of observations).
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The sum of the deviations, of all the values of x, from their arithmetic mean, is zero. The product of the arithmetic mean and the number of items gives the total of all items.
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