# 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