i have a set containing 10000 data. i took 1000 samples of size 4, 16, 64, and 1024 and took the medians, means, and stadard deviations of each size. i graphed them sd of medians vs sample size, sd of mean vs sample size, and sd of s.d. vs sample size. for sample mean, i know from a text book that:(adsbygoogle = window.adsbygoogle || []).push({});

SD of sample means = population SD / sqrt(sample size n).

But it seems from the graph i created using R, sd of medians and s.d. vs sample size all have the exact same looking graph, which to me suggests that:

SD of sample means, medians, and s.d. = population SD / sqrt(sample size n).

Is this right? it seems a little awkward. any input will be very helpful. thank you

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# Homework Help: Statistics: sample median, means, s.d. vs sample size

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