What data does a box plot show?

What data does a box plot show?

Box plots show the five-number summary of a set of data: including the minimum score, first (lower) quartile, median, third (upper) quartile, and maximum score.

How do you interpret Boxplot results?


  1. Median. The median (middle quartile) marks the mid-point of the data and is shown by the line that divides the box into two parts.
  2. Inter-quartile range. The middle “box” represents the middle 50% of scores for the group.
  3. Upper quartile.
  4. Lower quartile.
  5. Whiskers.

What values are shown on a box plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.

What is box plot used for?

In descriptive statistics, a box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles. Box plots may also have lines extending from the boxes (whiskers) indicating variability outside the upper and lower quartiles, hence the terms box-and-whisker plot and box-and- …

Which measure of central tendency is shown in a box plot diagram?

On the box plot, you can clearly see the median of the data set, the interquartile range, and the maximum and minimum extreme values. Box plots can also give you information about the amount of spread in the data.

How do you calculate a box plot?

Plot a symbol at the median and draw a box between the lower and upper quartiles. Calculate the interquartile range (the difference between the upper and lower quartile) and call it IQ. The line from the lower quartile to the minimum is now drawn from the lower quartile to the smallest point that is greater than L1.

Why is a box plot better than a histogram?

Although histograms are better in determining the underlying distribution of the data, box plots allow you to compare multiple data sets better than histograms as they are less detailed and take up less space. It is recommended that you plot your data graphically before proceeding with further statistical analysis.

What are the advantages of a box plot?

Boxplot Advantages: Summarizes variation in large datasets visually. Shows outliers. Compares multiple distributions. Indicates symmetry and skewness to a degree.

Why are Boxplots bad?

A boxplot can summarize the distribution of a numeric variable for several groups. The problem is that summarizing also means losing information, and that can be a pitfall. If we consider the boxplot below, it is easy to conclude that group C has a higher value than the others.

Can a box plot show mode?

The problem is that the usual boxplot* generally can’t give an indication of the number of modes. While in some (generally rare) circumstances it is possible to get a clear indication that the smallest number of modes exceeds 1, more usually a given boxplot is consistent with one or any larger number of modes.

What does a box plot tell you vs a histogram?

Box Plot with Histogram. In descriptive statistics, a box plot is an effective graphical representation of five-number summary, while histogram is a type of bar chart to visualize the distribution of a dataset.

What is box plot and why to use box plots?

In descriptive statistics, a box plot or boxplot (also known as box and whisker plot) is a type of chart often used in explanatory data analysis. Box plots visually show the distribution of numerical data and skewness through displaying the data quartiles (or percentiles) and averages.

How do you interpret a box plot?

A box plot gives us a basic idea of the distribution of the data. IF the box plot is relatively short, then the data is more compact. If the box plot is relatively tall, then the data is spread out. The interpretation of the compactness or spread of the data also applies to each of the 4 sections of the box plot.

What information is provided by the box plot?

A box plot is used to display information about the range, the median and the quartiles. The information required to be able to draw a box plot is called the ‘five-figure summary’.