<P> So the first, second and third 4 - quantiles (the "quartiles") of the dataset (3, 6, 7, 8, 8, 10, 13, 15, 16, 20) are (7, 9, 15). If also required, the zeroth quartile is 3 and the fourth quartile is 20 . </P> <P> Consider an ordered population of 11 data values (3, 6, 7, 8, 8, 9, 10, 13, 15, 16, 20). What are the 4 - quantiles (the "quartiles") of this dataset? </P> <Table> <Tr> <Th> Quartile </Th> <Th> Calculation </Th> <Th> Result </Th> </Tr> <Tr> <Td> Zeroth quartile </Td> <Td> Although not universally accepted, one can also speak of the zeroth quartile . This is the minimum value of the set, so the zeroth quartile in this example would be 3 . </Td> <Td> </Td> </Tr> <Tr> <Td> First quartile </Td> <Td> The first quartile is determined by 11 × (1 / 4) = 2.75, which rounds up to 3, meaning that 3 is the rank in the population (from least to greatest values) at which approximately 1 / 4 of the values are less than the value of the first quartile . The third value in the population is 7 . </Td> <Td> 7 </Td> </Tr> <Tr> <Td> Second quartile </Td> <Td> The second quartile value (same as the median) is determined by 11 × (2 / 4) = 5.5, which rounds up to 6 . Therefore, 6 is the rank in the population (from least to greatest values) at which approximately 2 / 4 of the values are less than the value of the second quartile (or median). The sixth value in the population is 9 . </Td> <Td> 9 </Td> </Tr> <Tr> <Td> Third quartile </Td> <Td> The third quartile value for the original example above is determined by 11 × (3 / 4) = 8.25, which rounds up to 9 . The ninth value in the population is 15 . </Td> <Td> 15 </Td> </Tr> <Tr> <Td> Fourth quartile </Td> <Td> Although not universally accepted, one can also speak of the fourth quartile . This is the maximum value of the set, so the fourth quartile in this example would be 20 . Under the Nearest Rank definition of quantile, the rank of the fourth quartile is the rank of the biggest number, so the rank of the fourth quartile would be 11 . </Td> <Td> 20 </Td> </Tr> </Table> <Tr> <Th> Quartile </Th> <Th> Calculation </Th> <Th> Result </Th> </Tr>

What does quartile 2 mean in class rank
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