The range of a set of numbers is the largest value in the set minus the smallest value in the set. The two whiskers extend from the first quartile to the smallest. The histogram of a multimodal distribution has more than one 'bump' Horizontal boxplots first whisker extends from the smallest value, 1, to the first quartile. A data set has multiple modes when two or more values appear with the same frequency.Ī distribution with more than one mode. A data set has no mode when all the numbers appear in the data with the same frequency.

For histograms, a mode is a relative maximum ('bump'). The median can be estimated from a histogram by finding the smallest number such that the area under the histogram to the left of that number is 50%įor lists, the mode is the most common (frequent) value. If the list has an even number of entries, the median is equal to the sum of the two middle (after sorting) numbers divided by two. If the list has an odd number of entries, the median is the middle entry in the list after sorting the list into increasing order. The smallest number such that at least half the numbers in the list are no greater than it. The sum of a list of numbers, divided by the total number of numbers in the list. The box contains the middle 50% of the data points and each of the two whiskers contain 25% of the data points.Ī bar graph such that the area over each class interval is proportional to the relative frequency of data within this interval It usually refers to the (arithmetic) mean, but it can also signify the median, the mode, the geometric mean, and weighted mean, among other thingsĪlso called box-and-whisker plot, this graph shows the distribution of data by dividing the data into four groups with the same number of data points in each group. It is better to avoid this sometimes vague term. The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating, making predictions drawing or justifying conclusions).The center line in the box shows the median for the data. See the 'Comparing outlier and quantile box plots' section below for another type of box plot. The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating drawing or justifying conclusions). The term box plot refers to an outlier box plot this plot is also called a box-and-whisker plot or a Tukey box plot.The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating, making predictions, describing trends drawing, formulating, or justifying conclusions).The student demonstrates an ability to classify and organize data.

Box and whisker plot example