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Question

# Identify the five-number summary and determine the interquartile range.$8,12,32,6,27,19,54$

Solutions

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A five-number summary of a data set consists of five points :

$\textbf{(1) }$ The lowest value of the data set (i.e., minimum)

$\textbf{(2) }$ $Q_{1}$ (first quartile)

$\textbf{(3) }$ The median

$\textbf{(4) }$ $Q_{3}$ (third quartile)

$\textbf{(5) }$ The highest value of the data set (i.e., maximum)

Hence five-number summary of a number is :

$\text{minimum , }Q_{1}\text{ , median , }Q_{3}\text{ , maximum}$

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