That is, four quarters of the data points are below this value. It is called Q 04 because it is the 4 th quartile. Maximum (Q 4) – this is the largest value in the data set (100 th percentile).That is, three quarters of the data points are below this value. It is called Q 3 because it is the 3rd quartile. Third Quartile or Upper Quartile (Q 3) – this is the value in the data set that is higher than 75 percent of the other data points (75 th percentile).That is, two quarters (one half) of the data points are below this value. It is called Q 2 because it is the 2nd quartile. Median or Second Quartile (Q 2) – this is the value in the data set that is higher than 50 percent of the other data points (50 th percentile).That is, one quarter of the data points are below this value. It is called Q 0 because it is the 1st quartile. First Quartile or Lower Quartile (Q 1) – this is the value in the data set that is higher than 25 percent of the other data points (25 th percentile).It is the bottom whisker (for a vertical box plot) or the furthest left whisker (for a horizontal box plot). That is, there are no data points below this value (the exception is any outliers that were excluded). It is called Q 0 because it is the 0 th quartile. Minimum (Q 0) – this is the lowest value in the data set (0 th percentile).What Does A Box Plot Show?Ī box plot (sometimes called a box and whisker plot) shows these five statistics: We’ll also take a look at some other statistics that a box plot does not show and answer some other common questions. In this article, we’ll take a closer look at what a box plot shows and what we can calculate from these given values. In particular, a box plot does not show the mean, mode, or standard deviation of a data set.
Of course, a box plot does not show every possible statistic we can think of. A box plot also shows the spread of data, since we can calculate range and IQR (interquartile range). It is a visual summary of data, showing quartiles (groups of 25% of data points). So, what does a box plot show? A box plot is a graph showing five values: the minimum, maximum, median, and first & third quartiles of a data set. However, this still raises the question of what exactly they reveal, and what we can calculate from what we are given. Box plots are used often in statistics to give a visual summary of a data set.
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