# What is a Box Plot

Welcome to our What is a Box Plot page.

There is also help on how to create a box plot from a set of data and lots of worked examples.

### How to Make a Box Plot (or Box and Whisker Plot) from a set of data

#### How to Create a Box Plot

1. Put the data in order, smallest to largest.
2. Find the middle (median) value - also called Q2.
3. Find the lower and upper quartiles by finding the middle of the first half of the data and the middle of the second half of the data.
4. Draw a number line using a suitable scale, from the minimum to maximum data value.
5. Draw a rectangle above the number line from the Q1 (first quartile) value to Q3 (third quartile) value.
6. Draw a vertical line inside the rectangle to show the median value.
7. Draw horizontal lines (these are the whiskers) from the either side of the rectangle to the minimum and maximum data points.

### What is a Box Plot - Data Distribution

By looking at the box plot, we can also tell how the data has been distributed.

We can see if the data is skewed to the right (positively skewed) or skewed to the left (negatively skewed), or if the data has no skew (symmetrically distributed.

We can tell the skew of the data by looking at the position of the median in the box.

### Skewed Right or Positively Skewed

If the median is towards the left of the center of the box, and the whisker on the left is shorter, then we say that the data is skewed right, or positively skewed.

### Skewed Left or Negatively Skewed

If the median is on the right hand side of the box, and the whisker on the right is shorter, then we say that the dats is skewed left, or negatively skewed.

### No Skew or Symmetric Distribution

If the median is in the center of the box, and the whiskers are about the same length, then we say that there is no skew and that the data has a symmetric distribution.

We are now going to put all this into practice by looking at a ready-made box plot and identifying all the information it shows.

### More Recommended Math Worksheets

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### Looking for some Box Plot Worksheets?

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