Identify the five-number summary and determine the interquartile range.
A five-number summary of a data set consists of five points :
The lowest value of the data set (i.e., minimum)
The highest value of the data set (i.e., maximum)
Hence five-number summary of a number is :
The minimum is 6.
The first quartile is the median of the data values below the median (or at 25% of the data):
The median is the average of the middle scores:
The third quartile is at 75% of the data:
The maximum is 54.
The IQR is the difference of the third and first quartile:
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