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The boxplot shown below results from the heights​ (cm) of males listed in a data set. What do the numbers in that boxplot tell​ us?

151174.6193169.2183.8

A boxplot consists of a box that extends from 169.2 to 183.8, a vertical line segment drawn through the box at 174.6, and a horizontal line segment extending from a vertical line segment at 151 to a vertical line segment at 193 that bisects the box.
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Part 1
The minimum height is
  
enter your response here ​cm, the first quartile Q Subscript 1 is
  
enter your response here ​cm, the second quartile Q Subscript 2 ​(or the​ median) is
  
enter your response here ​cm, the third quartile Q Subscript 3 is
  
enter your response here ​cm, and the maximum height is
  
enter your response here cm.
​(Type integers or decimals. Do not​ round.)

1 answer

Based on the boxplot information you provided, we can identify the following characteristics:

  • Minimum height: This is the smallest value in the dataset, which is 151 cm.
  • First quartile (Q1): This is the lower edge of the box, which is 169.2 cm.
  • Second quartile (Q2 or median): This is the line inside the box, which is 174.6 cm.
  • Third quartile (Q3): This is the upper edge of the box, which is 183.8 cm.
  • Maximum height: This is the largest value in the dataset, which is 193 cm.

Now, summarizing the responses:

  • Minimum height: 151 cm
  • First quartile (Q1): 169.2 cm
  • Second quartile (Q2 or median): 174.6 cm
  • Third quartile (Q3): 183.8 cm
  • Maximum height: 193 cm