# calculating upper and lower quartiles The number of goals scored by a football team during a month

calculating upper and lower quartiles
The number of goals scored by a football team during a months worth of matches is recorderd.
They scored $0$ goals $4$ times, $1$ goal $6$ six times and $2$ goals $3$ times. Calculate the lower and upper quartiles.
Would it simply be this?: lower quartile is the $3.5$th value which is zero, and upper quartile is the $10.5$th value which is $2$?
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Leroy Lowery
We have data on 4 + 6 + 3 = 13 games. $13\cdot 0.25=3.25$, and $13\cdot 0.75=9.75$. We round these to $3$ and $10$, respectively. We line up all our values in order:
$0\phantom{\rule{thickmathspace}{0ex}}0\phantom{\rule{thickmathspace}{0ex}}0\phantom{\rule{thickmathspace}{0ex}}0\phantom{\rule{thickmathspace}{0ex}}1\phantom{\rule{thickmathspace}{0ex}}1\phantom{\rule{thickmathspace}{0ex}}1\phantom{\rule{thickmathspace}{0ex}}1\phantom{\rule{thickmathspace}{0ex}}1\phantom{\rule{thickmathspace}{0ex}}1\phantom{\rule{thickmathspace}{0ex}}2\phantom{\rule{thickmathspace}{0ex}}2\phantom{\rule{thickmathspace}{0ex}}2$
The third value is $0$. the 10th value is $1$