Question

at the end of the red river fishing contest, the judge measured the length of each fish caught.
fish lengths (in.)
22 27 32 20 38 30 34 21 29 25
which box plot represents the data?
(box plot 1 and box plot 2 shown with axes labeled 20,24,28,32,36,40)
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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

Explanation:

Step1: Sort the data

Sorted data: 20, 21, 22, 25, 27, 29, 30, 32, 34, 38

Step2: Find min, max, median

Min = 20, Max = 38
Median (5th & 6th avg): $\frac{27+29}{2}=28$

Step3: Find Q1 and Q3

Q1 (2nd & 3rd avg): $\frac{21+22}{2}=21.5$
Q3 (7th & 8th avg): $\frac{30+32}{2}=31$

Step4: Match box plot

Check plots for min=20, Q1≈21.5, median=28, Q3≈31, max=38. The top plot’s whiskers and box align with these values.

Answer:

The top box plot (first one)