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Outliers on a modified box plot will be noted away from the ends of the whiskers, as they are not considered part of the range, due to the fact that they are so different from the rest of the data. In a regular box plot, the lowest value, whether it is an outlier or not, will be the beginning of the 1st whisker, the highest value, whether an outlier or not will be the end of the 2nd whisker.
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What does the box plot show about the variability of the heights?
A box plot illustrates the variability of heights by displaying the range, interquartile range, and potential outliers. The length of the box indicates the interquartile range, highlighting where the middle 50% of the data lies, while the "whiskers" show the spread of the data outside this range. If the whiskers are long or there are many outliers, it suggests greater variability in heights. Conversely, a shorter box and shorter whiskers indicate less variability among the heights.
What if the data doesnt have a median how do we make a box and whisker plot?
If the data are quantitative they must have a median. If there is no median it is only because the data are qualitative and, in that case, a box and whiskers plot is meaningless.
What is a box plot?
Not sure about a box plot, but a box and whisker plot is a representation of statistical data for one variable (at a time).It consists of a rectangular shape, the "box", plotted against a horizontal value axis. The left side of the box is the lower quartile of the data and the right side is the upper quartile. The median divides the box.Extending out from both sides of the box are lines, the "whiskers", that reach to the minimum and maximum values.So, a box and whisker plot is defined byminumum,lower quartile (Q1),median (Q2),upper quartile (Q3), andmaximum.If there are outliers, they are usually excluded from the box and whiskers plot and are marked up separately as crosses.
What is the median number between 51015202530354045 in a box and whisker plot?
There can be no sensible box-and-whiskers plot for just one number - no matter how large it is.There can be no sensible box-and-whiskers plot for just one number - no matter how large it is.There can be no sensible box-and-whiskers plot for just one number - no matter how large it is.There can be no sensible box-and-whiskers plot for just one number - no matter how large it is.
What is the difference between box and whiskers plot and stem and leaf plot?
There are several differences but (in my view) the main one is that the stem and leaf retains all the information about the observed data (except the order in which the observations were recorded). The box and whiskers uses only five summary statistics.
What does the whisker in a box-and-whisker plot represent?
The whiskers mark the ends of the range of figures - they are the furthest outliers. * * * * * No. Outliers are not part of a box and whiskers plot. The whiskers mark the ends of the minimum and maximum observations EXCLUDING outliers. Outliers, if any, are marked with an X.
What are four parts of the box and whisker plot called?
There are 5 (not 4) parts of an elementary box and whiskers plot. From left to right, they are: minimum, lower quartile, median, upper quartile, and maximum. A more advanced version of plot is used for data containing outliers. In such cases the whiskers extend to the minimum or maximum EXCLUDING the outlier(s) and the outliers themselves are marked with Xs - beyond the scope of the whiskers.
What does the box plot show about the variability of the heights?
A box plot illustrates the variability of heights by displaying the range, interquartile range, and potential outliers. The length of the box indicates the interquartile range, highlighting where the middle 50% of the data lies, while the "whiskers" show the spread of the data outside this range. If the whiskers are long or there are many outliers, it suggests greater variability in heights. Conversely, a shorter box and shorter whiskers indicate less variability among the heights.
What are the five points of a box and whiskers graph?
Both ends of the the box (the "whiskers") plot determine the range of your data, without including outliers. (Outliers are marked by an asterisk). The end of the left side of the box is the lower quartile. The line in the box is the median. The other end of the box represent the upper quartile.
What is the range of the data set in the box and whisker plot?
The whiskers go from the minimum to the maximum though outliers may be excluded. The box, itself, goes from the lower quartile to the upper quartile.
When would a box and whisker plot not have one or both whiskers?
A box and whisker plot may not have whiskers if all the data points fall within the interquartile range (IQR), resulting in no values outside this range. This can occur in a dataset where all values are identical or very closely clustered within the quartiles. Additionally, if there are outliers that are significantly distant from the rest of the data, the whiskers may extend only to the closest non-outlier values, potentially leading to situations where one or both whiskers are absent.
How do you set up a box and whiskers plot with multiple numbers?
By transferring the numerical data from the cumulative frequency curve into a box and whiskers plot.
What information does a box plot provide?
A box plot, or box-and-whisker plot, provides a visual summary of a dataset's distribution by displaying its median, quartiles, and potential outliers. The central box represents the interquartile range (IQR), which contains the middle 50% of the data, while the line inside the box indicates the median. The "whiskers" extend to show the range of the data, excluding outliers, which are typically marked as individual points. This visualization allows for easy comparison of data distributions across different groups.
A box plot is also known as a box-and-whisker plot.?
A box plot is a visual representation of the distribution of a dataset. It displays the minimum, first quartile, median, third quartile, and maximum values of the dataset. The "box" in the plot represents the interquartile range, while the "whiskers" represent the range of the data excluding outliers.
How do you Create a box plot of data that does not have any outliers?
Go into your data to determine which values are outliers and if they're significant and random (not an apparent group), eliminate them. This will take them out of your boxplot.
What set of data cannot be determined from a box and whisker plot?
A box and whisker plot does not provide specific values for individual data points, nor does it indicate the frequency of those data points. While it summarizes the distribution of the data through quartiles, it does not reveal the shape of the distribution or any potential outliers beyond the whiskers. Additionally, it does not show the mean or median unless explicitly marked.
How do you describe the data in a box plot?
A box plot visually summarizes a dataset's distribution through its five-number summary: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. The central box represents the interquartile range (IQR), which contains the middle 50% of the data, while the "whiskers" extend to the smallest and largest values within 1.5 times the IQR from the quartiles. Outliers, if any, are typically represented as individual points beyond the whiskers. Overall, box plots effectively convey the central tendency, variability, and potential outliers in the data.
