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What is a true statement concerning outliers for a data set summarized by a box and whisker plot?
Wiki User
∙ 11y ago
When John Tukey invented the boxplot he suggested (somewhat arbitrarily) that any data points more than 1.5 times the length of the box (ie, the distance between the upper and lower quartiles) from the nearest end of the box should be regarded as outliers.
For example, suppose the box length were 2, that the lower quartile were 5 and that the smallest data point were 1.
1.5 * 2 = 3
5 - 3 = 2
1 < 2; in other words, this data point is too far away from the box.
Hence, the smallest data point is an outlier.
Wiki User
∙ 11y ago
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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.
How do you find clusters on a box and whisker plot?
You cannot, unless they are all outliers, and the plot records outliers separately.
How do you find the minimum value of a box and whisker plot?
It i the smallest value in the data set and corresponds to the value of the left-most end of the whisker. Unless there were outliers, in which case it will be an "X" to the left of the left-whisker.
What is the upper extreme to a box- and- whisker plot?
THe maximum observed (excluding any outliers).
How do you find the minimum and maximum in a box and whisker plot?
Assuming no outliers, the two are the lowest (left-most) and the highest (right-most) values of the whiskers (not wiskers).
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.
How do you find clusters on a box and whisker plot?
You cannot, unless they are all outliers, and the plot records outliers separately.
Do outliers count when calculating the range of a box and whisker plot?
no max-min
How do you find the minimum value of a box and whisker plot?
It i the smallest value in the data set and corresponds to the value of the left-most end of the whisker. Unless there were outliers, in which case it will be an "X" to the left of the left-whisker.
What is the upper extreme to a box- and- whisker plot?
THe maximum observed (excluding any outliers).
What do box and whisker plots tell you about data that measures of central tenancy do not?
The box and whisker plot informs you of the 5 number summary, which comprises of the minimum and maximum, the median, and the first and third quartiles. The minumum and maximum give you the range, which is not given by measures of central tendancy. also, if it a modified box and whisker plot, outliers will be marked separatley from the rest of the plot, outliers are also not included in the measures of center.
How are outliers of a data set related to the whiskers of its box plot?
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.
How do you find the minimum and maximum in a box and whisker plot?
Assuming no outliers, the two are the lowest (left-most) and the highest (right-most) values of the whiskers (not wiskers).
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.
What does a box and whisker chart show?
It shows the minimum, lower quartile, median, upper quartile and maximum of a set of observations. It may show outliers separately.It shows the minimum, lower quartile, median, upper quartile and maximum of a set of observations. It may show outliers separately.It shows the minimum, lower quartile, median, upper quartile and maximum of a set of observations. It may show outliers separately.It shows the minimum, lower quartile, median, upper quartile and maximum of a set of observations. It may show outliers separately.
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 is a whisker plot?
Not sure about a whisker 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.
