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Nick Stauner
Nick Stauner
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cardinal
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Central limit theormtheorem for sample medians

If I calculate the median of a sufficienltysufficiently large number of samplesobservations drawn from the same distribution, does the central limit theormtheorem state that the distributionsdistribution of medians will approximate a normal distribution? My understanding is that this is true with the means of a large number of samples, but is it also true with medians?

If not, what is the underlying distribution of sample medians?

Central limit theorm

If I calculate the median of a sufficienlty large number of samples drawn from the same distribution, does the central limit theorm state that the distributions of medians will approximate a normal distribution? My understanding is that this is true with the means of a large number of samples, but is it also true with medians?

If not, what is the underlying distribution of sample medians?

Central limit theorem for sample medians

If I calculate the median of a sufficiently large number of observations drawn from the same distribution, does the central limit theorem state that the distribution of medians will approximate a normal distribution? My understanding is that this is true with the means of a large number of samples, but is it also true with medians?

If not, what is the underlying distribution of sample medians?

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user1728853
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Central limit theorm

If I calculate the median of a sufficienlty large number of samples drawn from the same distribution, does the central limit theorm state that the distributions of medians will approximate a normal distribution? My understanding is that this is true with the means of a large number of samples, but is it also true with medians?

If not, what is the underlying distribution of sample medians?