Questions: The data set shows how many points Mark scored in each basketball game he played this season. 1,4,4,5,5,7,8,8,10,11,11,11,14,15,16 The box plot shown is a summary of the data. Move numbers to the spaces to label the values and complete the box plot.

The data set shows how many points Mark scored in each basketball game he played this season. 1,4,4,5,5,7,8,8,10,11,11,11,14,15,16 The box plot shown is a summary of the data. Move numbers to the spaces to label the values and complete the box plot.
Transcript text: The data set shows how many points Mark scored in each basketball game he played this season. $1,4,4,5,5,7,8,8,10,11,11,11,14,15,16$ The box plot shown is a summary of the data. Move numbers to the spaces to label the values and complete the box plot.
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Solution

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Solution Steps

Step 1: Organize the Data

The given data set is: 1, 4, 5, 5, 7, 8, 10, 11, 11, 11, 14, 15, 16

Step 2: Identify the Minimum and Maximum Values
  • Minimum value: 1
  • Maximum value: 16
Step 3: Find the Quartiles
  • First Quartile (Q1): The median of the first half of the data (1, 4, 5, 5, 7, 8) is 5.
  • Median (Q2): The median of the entire data set is 10.
  • Third Quartile (Q3): The median of the second half of the data (11, 11, 11, 14, 15, 16) is 14.

Final Answer

  • Minimum: 1
  • Q1: 5
  • Median: 10
  • Q3: 14
  • Maximum: 16
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