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### Calculating the weighted standard deviation of multiple standard deviations

I got the following example data: 'Iteration_1': {'mean': 1980, 'min': 876, 'max': 3034, 'standard_deviation': 695 'median': 1883 'total_n': 20}, 'Iteration_2': {'mean': 1808 'min': 1543 'max': 2074 '...
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### Recover true statistics for a union of subsamples - only data available are summary statistics for each subsample

Let $a_1$, $a_2$, ...,$a_m$ be the samples of data, and let us further assume the only information we have about each sample is their count/no. of samples, mean, standard deviation and median. The ...
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### Standard deviaiton for mean of an already averaged data

I was wondering how to set the standard deviations for average of an already averaged data! The following example shows 2 countries, each with 3 districts. From each district samples (n) were ...
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### Unpooling standard deviation from a combined set and a subset

I do not have access to the original data set. AB: Overall mean: 149.41 sd: 89.13 N: 2284 B: ...