Box Plot Worksheet

Free printable and online worksheets to help Grade 6 students review how to construct a box plot, also known as a box-and-whisker plot, from a given set of data. How to use the median and the quartiles to construct a box plot? How to interpret a box plot?

Box Plot

Constructing a box plot, also known as a box-and-whisker plot, is a method of visualizing the distribution of a dataset through its quartiles. A box plot provides a summary of the data’s central tendency, variability, and potential outliers.
Here are the steps on how to construct a box plot:

1. Organize the Data:
   Arrange the data points in ascending order.
   
2. Calculate the Five-Number Summary:
   Minimum (Min): The smallest data point.
   First Quartile (Q1): The median of the lower half of the data (25th percentile).
   Median (Q2): The median of the data (50th percentile).
   Third Quartile (Q3): The median of the upper half of the data (75th percentile).
   Maximum (Max): The largest data point.
   
3. Determine the Interquartile Range (IQR):
   IQR=Q3−Q1
4. Construct the Box Plot:
   

• Draw a Number Line: Choose an appropriate scale to cover the range of the data.
• Draw the Box:
  The left edge of the box is at Q1.
  The right edge of the box is at Q3.
  The line inside the box is at the median (Q2).
  
• Draw the Whiskers:
  Extend lines (whiskers) from the edges of the box to the smallest and largest data points within the bounds (not including outliers).
• Plot Outliers: Plot any data points outside the whisker bounds as individual points.

• The box represents the central 50% of the data (IQR).
• The line inside the box is the median.
• Whiskers extend to the smallest and largest values.

Box plots provide a clear visual summary of data distribution, central tendency, and variability, making them useful for comparing different datasets.

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