QUESTION IMAGE
Question
peter went to his school’s swim meet to cheer on the team. the scoreboard showed the time of each swimmer in the last race.
swim times (sec.)
60 55 53 50 55 57 59 57
which box plot represents the data?
two box plots with swim times (sec.) axis from 50 to 60 are shown
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work it out
not feeling ready yet? these can help:
create line plots create histograms
box plots create stem - and - leaf plots
lesson: line plots lesson: histograms
lesson: box and whisker plots
Step1: Sort the data
Sorted data: 50, 53, 55, 55, 57, 57, 59, 60
Step2: Find min, max, median
Min = 50, Max = 60, Median = $\frac{55+57}{2}=56$
Step3: Find quartiles
Q1 (median of first 4 values): $\frac{53+55}{2}=54$; Q3 (median of last 4 values): $\frac{57+59}{2}=58$
Step4: Match box plot
Box plot should have min=50, Q1=54, median=56, Q3=58, max=60. The first box plot matches these values.
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The first box plot (top one)