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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.
What is unaffected by outliers?
interquartile range
Why is the interquartile range a more appropriate measure for spread than the range?
the interquartile range is not sensitive to outliers.
What is the primary disadvantage of using the range to compare the variability of data sets?
The range is very sensitive to outliers. Indeed if there are outliers then the range will be unrelated to any other elements of the sample.
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 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.
Which graph type would be best suited for calculating the interquartile range for vehicle prices on a certain car lot?
Box & Whisker
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.
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 upper whisker mean?
The upper whisker in a box plot represents the highest value within a specified range of data, typically extending to the largest data point that is not considered an outlier. It is calculated as the maximum value that lies within 1.5 times the interquartile range (IQR) above the third quartile. Values beyond this threshold are considered outliers and are often plotted separately. The upper whisker provides insight into the spread and potential extremities of the dataset.
What is the answer to box and whisker plots?
Box and whisker plots, or box plots, visually summarize a dataset's distribution by displaying its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values. The "box" represents the interquartile range (IQR) between Q1 and Q3, while the "whiskers" extend to the smallest and largest values within 1.5 times the IQR from the quartiles. Outliers beyond this range are typically marked individually. This type of plot helps identify the central tendency, variability, and potential outliers in the data.
What is unaffected by outliers?
interquartile range
Why is the interquartile range a more appropriate measure for spread than the range?
the interquartile range is not sensitive to outliers.
What is the Formula for least count of voltmeter?
The formula for calculating the least count of a voltmeter is least count = Range / Number of divisions. Where the Range is the maximum voltage that the voltmeter can measure and the Number of divisions is the total number of divisions on the voltmeter scale.
What is the primary disadvantage of using the range to compare the variability of data sets?
The range is very sensitive to outliers. Indeed if there are outliers then the range will be unrelated to any other elements of the sample.
How do you find measures of variability and construct and analyze box-and-whisker plots?
To find measures of variability, you typically calculate the range, variance, and standard deviation of a dataset, which provide insights into how spread out the data points are. A box-and-whisker plot is then constructed by identifying the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values of the data. The box represents the interquartile range (IQR) between Q1 and Q3, while the "whiskers" extend to the minimum and maximum values, excluding outliers. Analyzing the plot allows you to assess the distribution, central tendency, and potential outliers in the data.
