What is the third quartile of the data set $140, $174, $148, $171, $150, $167, $152, $166?

1 Answer
Shwetank Mauria
Sep 20, 2016

#3^(rd)# quartile is #167#

Explanation:

To find the third quartile of the data set #{$140, $174, $148, $171, $150, $167, $152, $166}#, we first need at arrange it in increasing order. The same is

#{$140, $148, $152, $150, $166, $167, $171, $174}#

In the given data set, we have #8# items and third quartile is given by the value of #((3xx8+1)/4)^(th)# or #6^(th)# item.

Hence #3^(rd)# quartile is #167#

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