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Question

Identify the five-number summary and determine the interquartile range.$362,589,437,316,192,188$

Solutions

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The minimum is 188.

The first quartile is the median of the data values below the median (or at 25% of the data):

$Q_1=192$

The median is the average of the middle scores:

$M=\dfrac{316+362}{2}=339$

The third quartile is at 75% of the data:

$Q_3=437$

The maximum is 589.

The IQR is the difference of the third and first quartile:

$IQR=437-192=245$

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