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The boxplot which showcases the values of the distribution given is the second boxplot.

The data given :

  • 6,9,13,13,18,20,24,25,26,28,30,30

  • Number of observations, n = 12

The minimum value = 6 ( least value)

Lower, quartile = 0.25(n+1)th term = 0.25(13) = 3.25th term = 13

Median = 0.5(n + 1)th term = 0.5(13) = 6.5th term = (20 + 24) /2 = 22

The Upper quartile = 0.75(13)th term = 9.75th term = 26.5

Interquartile Range = Q3 - Q1 = (26.5 - 13) = 13.5

The maximum value = 30 (highest value in the distribution)

. Therefore, the boxplot which depicts the distribution Given is the second boxplot.

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