TSI Math: Which Data Set is Represented by a Box and Whisker Plot?
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Which set of data points is represented by the box and whisker plot below?
Data Analysis, Statistics, and Probability | Interpreting Categorical and Quantitative Data |
Mathematics and Statistics Assessment | Interpreting Categorical and Quantitive Data |
Product Type | TSI |
TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |
TSI Math | Data Analysis, Statistics, and Probability |
TSI Mathematics | Data Analysis, Statistics, and Probability |
Test Prep | TSI |
Transcript
into reverse If we want to figure out which data
set produced the given box plot we need to understand
what a box plot shows us first that dot all
by itself While that's an outlier in the data set
it should be one single value well away from the
other values on the box The line in the middle
is the median The left end of the boxes the
twenty fifth percentile or first quarter tile or simply kyu
won the right into the box is the seventh percentile
or the third quarter mile or q three Well that
little mark on the end there The left whisker is
normally the lowest point in the data set But due
to the outlier it'll be the second lowest value in
the data set Well the market the end of the
right whisker There is the largest data point So after
grabbing the magnifying glass we can see the outlier Is
it to the second lowest data point is twelve ish
and the first court tiles about thirteen Well the median
looks sixteen ish and well Let's see q three seems
to be hanging out around eighteen ish and the max
value is probably about what is that twenty one Well
we've got to data sets that have an outlier too
Second lowest point of twelve and a maximum value of
twenty one looks like we need to check the median
and other court tiles of those two sets to make
a choice to get our answer here So let's think
about this Got all these numbers here that they have
a median of sixteen Kyu won is thirteen Q three
is eighteen Well that fits the bill exactly So that's
it that's the set of data We want its answer
b and well we're boxing whiskers smoked on this one