Admin Table of Contents
What conclusions can be drawn from a box plot?
Using box plots we can better understand our data by understanding its distribution, outliers, mean, median and variance. Box plot packs all of this information about our data in a single concise diagram. It allows us to understand the nature of our data at a single glance.
What do Boxplots tell you?
A boxplot is a graph that gives you a good indication of how the values in the data are spread out. Boxplots are a standardized way of displaying the distribution of data based on a five number summary (“minimum”, first quartile (Q1), median, third quartile (Q3), and “maximum”).
How do you compare two sets of data displayed in box plots?
Guidelines for comparing boxplots
- Compare the respective medians, to compare location.
- Compare the interquartile ranges (that is, the box lengths), to compare dispersion.
- Look at the overall spread as shown by the adjacent values.
- Look for signs of skewness.
- Look for potential outliers.
How do you interpret data from a box and whisker plot?
When the median is in the middle of the box, and the whiskers are about the same on both sides of the box, then the distribution is symmetric. When the median is closer to the bottom of the box, and if the whisker is shorter on the lower end of the box, then the distribution is positively skewed (skewed right).
How do you explain a box and whisker plot?
A box and whisker plot is defined as a graphical method of displaying variation in a set of data. In most cases, a histogram analysis provides a sufficient display, but a box and whisker plot can provide additional detail while allowing multiple sets of data to be displayed in the same graph.
How do you analyze a box and whisker plot?
What two things must you compare when comparing box plots or cumulative frequency?
The main things you will need to discuss are the Median, Interquartile range(IQR) and the quartiles. You must attach numerical values to these points of interest and provide context with your answers if you are provided with a scenario.
Which measure of center would you use to compare the populations represented by the box plots?
median
Average: In a box plot, the measure of average used is the median. This is represented by the vertical line inside the box. Comparing the medians of two data sets, we can determine in which data set the values are “on average” higher or lower than in the other, or if there is no difference on average.