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Expert Solution

$$ x\% of data is smaller than $ x^{th} $ percentile in a data set $ \\\\ $ A median or $ 50^{th} $ percentile is the middle of the data set $ \\\\ $ For a sorted data, $ \\ $ For odd number of observations $(n), $ Median $ = \Big(\frac{n+1}{2}\Big)^{th} $ observation $ \\\\ $ For even number of observations $(n), $ Median $ = $ Mean of $ \Big(\frac{n}{2}\Big)^{th} $ \\ observation and $ \Big(\frac{n}{2} + 1\Big)^{th} $ observation$

orchestra answered 1 year ago

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