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What is a true statement concerning outliers for a data set summarized by a box and whisker plot?
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.
What else can I help you with?
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.
How do you describe a skewed box plot?
A skewed box plot is characterized by the asymmetrical distribution of data, indicated by the position of the median line within the box and the lengths of the whiskers. In a right-skewed box plot, the median is closer to the lower quartile, with a longer upper whisker, while in a left-skewed box plot, the median is nearer to the upper quartile, accompanied by a longer lower whisker. Additionally, the presence of outliers may further emphasize the skewness of the data. Overall, the visual representation helps to quickly assess the distribution and identify potential outliers.
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.
