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use the box-and-whisker plot to identify the five-number summary. \\(\\…

Question

use the box-and-whisker plot to identify the five-number summary.

\\(\text{min} = 11\\)

\\(q_1 = \square\\)

Explanation:

Identify the components of a box-and-whisker plot

Using the Box-and-Whisker Plot knowledge point

  • The leftmost point of the whisker represents the minimum value: \(11\).
  • The left edge of the box represents the first quartile (\(Q_1\)): \(13\).
  • The vertical line inside the box represents the median (\(Q_2\)): \(14\).
  • The right edge of the box represents the third quartile (\(Q_3\)): \(15\).
  • The rightmost point of the whisker represents the maximum value: \(22\).

Determine the value of the first quartile

Using the Five-Number Summary knowledge point

  • Looking at the left edge of the box on the plot, it aligns vertically with the value \(13\).
  • Therefore, \(Q_1 = 13\).

Answer:

Use the box-and-whisker plot to identify the five-number summary.

Min = 11
\(Q_1 =\) <blank>13</blank>