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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 is the definition of box-and-whisker plot?

A box-and-whisker plot, also known as a box plot, is a graphical representation of a dataset that summarizes its distribution through five key statistics: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. The "box" displays the interquartile range (IQR), which contains the middle 50% of the data, while the "whiskers" extend to the minimum and maximum values, excluding outliers. This plot is useful for visualizing the spread and skewness of the data and for identifying potential outliers.


What is the middle 50 percent on a box and whisker plot?

The middle 50 percent on a box and whisker plot is represented by the interquartile range (IQR), which is the area between the first quartile (Q1) and the third quartile (Q3). This section contains the central half of the data, where the lower edge of the box corresponds to Q1 (25th percentile) and the upper edge corresponds to Q3 (75th percentile). The box itself visually shows the spread of this middle portion of the dataset, while the whiskers extend to the minimum and maximum values within 1.5 times the IQR.


How do you find the range in box and whisker plot?

The highest and lowest numbers in a box and whisker plot are shown by the two dots at the end of the "whiskers". To find the range, you must subtract the highest number from the lowest number.


Do outliers count when calculating the range of a box and whisker plot?

no max-min

Related Questions

What does the box part of a box-and-whisker plot represents?

The box part represents the interquartile range.


Does a box plot represent an interquartile range?

If presents you with the upper and lower quartile range, although you have to do calculations in order to find the interquartile range, so no, it does not,


What does the box represent in a box and whisker plot?

The box represents your Q1, Q2 (median) and Q3, so it is your interquartile range. The Q1 is the first box line, the Q2 is the middle one and the Q3 is the closing line. Your interquartile range basically tells you where 50% of the people are.


What is the interquartile range in a box plot?

The interquartile range (IQR) in a box plot represents the range of values between the first quartile (Q1) and the third quartile (Q3). It is calculated by subtracting Q1 from Q3 (IQR = Q3 - Q1) and indicates the middle 50% of the data, providing a measure of statistical dispersion. The IQR is useful for identifying outliers and understanding the spread of the data. In a box plot, it is visually represented by the length of the box itself.


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.


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.


How do you find out the width of a box and whisker plot?

The sides of the box are the quartile values: the left is the first quartile and the right is the third quartile. The width, therefore is the interquartile range.


What is the distance between 67.8 and 70.8 on a box plot?

The distance between 67.8 and 70.8 on a box plot is known as the interquartile range (IQR). It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1), which represent the limits of the box in the box plot.


What is the center of a box plot?

The center of a box plot is represented by the median, which is the value that divides the dataset into two equal halves. In a box plot, this is typically indicated by a line inside the box. The box itself represents the interquartile range (IQR), which encompasses the middle 50% of the data, while the whiskers extend to the minimum and maximum values within a specified range.


What is the IQ range?

If you are talking about statisitics, in a box and whisker graph it is the interquartile range.


In a box-and-whisker plot it shows the what of data?

the box shows you the range of #s from the lower quartile to the upper quartile. the wiskers show you all of the #s outside of the box.


The length of the box represents the interquartile range The vertical line drawn inside the box represents the?

Median