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The following are the heights (in cm) of eight people: $157$, $175$, $165$, $184$, $180$, $197$, $160$, $177$. Find the $42$-th percentile. 
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Arrange the data from the least to the largest: $157$, $160$, $165$, $175$, $177$, $180$, $184$, $197$.  $np=8(0.42)=3.36 \uparrow 4$. The $42$-th percentile is $175$. 