The symbol for the population standard deviation is (sigma). Also, each element of mu must be in interval. The weighted standard deviation of vector x, by considering weights vector mu, is numeric or a vector of length one. You can use the following syntax to calculate the standard deviation of a vector in R: sd(x) Note that this formula calculates the sample standard deviation using the following formula: (x i ) 2 / (n-1) where: : A fancy symbol that means sum x i: The i th value in the dataset : The mean value of the dataset n: The. The length of this vector must be equal to the length of data and each element of it is belongs to interval. This leads to an NA output and the previously described warning message. The reason for this is that our first vector object x1 contains only one value, i.e. ![]() ![]() Therefore in such situations, it is more appropriate that we show the observed value of the random sample by notation \ by formulaĪ vector-valued numeric data which you want to compute its weighted standard deviation.Ī vector of weights. Unfortunately, the RStudio console returns the warning message in cor (X) : the standard deviation is zero after executing the previous R syntax. In classical and usual random sample, the degree of belonging x_i into the random sample is equal to 1, for 1 \leq i \leq n.īut considering fuzzy population, we denote the degree of belonging x_i into the fuzzy population (or into the observed value of random sample) by \mu_i which is a real-valued number from. Assume that x=(x_1, x_2, \cdots, x_n) is the observed value of a random sample from a fuzzy population.
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