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1 vote


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8 9 10 11 12 13 14 15 16 17 18 19 20
data
Based on the boxplot above, identify the 5 number summary
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ㅏ + + + 8 9 10 11 12 13 14 15 16 17 18 19 20 data Based on the boxplot above, identify-example-1

1 Answer

5 votes

Answer:

{8, 9, 15, 18, 20}

Explanation:

You want the 5-number summary corresponding to the box plot shown.

5-number summary

The 5-number summary of a data set is ...

  • minimum
  • 1st quartile
  • median (2nd quartile)
  • 3rd quartile
  • maximum

Box plot

A box-and-whisker plot is a visual representation of the 5-number summary. Each vertical line segment of the plot is positioned at one of the numbers of the 5-number summary. Here, the positions of those vertical lines are ...

{8, 9, 15, 18, 20} . . . . the 5-number summary

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Additional comment

The 5-number summary is generally listed in increasing order. These values are the values of the vertical lines of the box plot from left to right.

The "box" of the box plot extends from the 1st quartile to the 3rd quartile. That makes the median be the vertical line in the interior of the box. The difference between the values at the ends of the box is the inter-quartile range (IQR). Here, the IQR is 18 -9 = 9.

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