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More Grade 6 Math Lessons

Free Math Worksheets

Free Printable Worksheets

Printable “Statistics” Worksheets:

Mean, Median, Mode, Range

Mean Absolute Deviation

Interpret Mean Absolute Deviation

Interpret Median

Interquartile Range (IQR)

Box Plot (Box-and-whisker Plot)

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?

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:

- Organize the Data:

Arrange the data points in ascending order. - 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. - Determine the Interquartile Range (IQR):

IQR=Q3−Q1 - 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.

Interpretation:

- 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.

Have a look at this video if you need to review how to construct a box plot.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Box Plot Worksheets**.

**Printable**

(Answers on the second page.)

Box Plot Worksheet #1

Box Plot Worksheet #2

Box Plot Worksheet #3

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