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Quiz 8 Box and whisker plot Name: Date: 3/11/2014 /201. For the set of data, determine the 5 number summary. (the lower extreme, upper quartile, median, lower quartile and upper extreme). Then create
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How to fill out five-number summary and box-and-whisker

01
To fill out a five-number summary, follow these steps:
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Arrange the data in ascending order.
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Find the minimum value, which is the smallest number in the dataset.
04
Find the maximum value, which is the largest number in the dataset.
05
Determine the median, which is the middle value. If the dataset has an odd number of values, the median is the middle number. If the dataset has an even number of values, the median is the average of the two middle numbers.
06
Calculate the first quartile (Q1), which is the median of the lower half of the dataset. This is the value that splits the lower 50% of the data into two equal parts.
07
Calculate the third quartile (Q3), which is the median of the upper half of the dataset. This is the value that splits the upper 50% of the data into two equal parts.
08
The five-number summary consists of the minimum value, Q1, median, Q3, and the maximum value.

Who needs five-number summary and box-and-whisker?

01
The five-number summary and box-and-whisker plot are useful for anyone who wants to summarize and visualize the spread and distribution of a dataset.
02
Individuals who work with data, such as statisticians, researchers, or data analysts, often use the five-number summary and box-and-whisker plot to understand the central tendency, variability, and outliers in the data.
03
These summaries are commonly used in fields such as finance, economics, social sciences, and healthcare to interpret and communicate data effectively.
04
Additionally, students and educators studying or teaching statistics can benefit from understanding and using the five-number summary and box-and-whisker plot.
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The five-number summary consists of the minimum, first quartile, median, third quartile, and maximum values of a dataset. The box-and-whisker plot is a graphical representation of the five-number summary, often used to display the distribution of the data.
Statisticians, data analysts, researchers, and anyone working with quantitative data may be required to create and interpret five-number summaries and box-and-whisker plots.
To fill out a five-number summary, organize the data in ascending order, calculate the minimum, first quartile, median, third quartile, and maximum values. Then, create a box-and-whisker plot using this information.
The five-number summary and box-and-whisker plot provide a concise summary of the dataset's central tendency, spread, and distribution, making it easier to identify outliers and compare different datasets.
The minimum, first quartile, median, third quartile, and maximum values of the dataset must be reported on the five-number summary and box-and-whisker plot.
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