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Name Period Date Due: Tuesday, February 3, 2015, Box & Whisker Homework For questions 1 6, refer to the box & whisker graph below which shows the test results of a math class. Test Scores (as %) for

How to fill out box and whisker plot

How to fill out box and whisker plot:

1. Begin by gathering a set of data that you want to represent with the box and whisker plot.
2. Order the data from least to greatest, so that you can easily identify important values such as the median and quartiles.
3. Determine the median of the data set, which is the middle value when the data is ordered. If there is an even number of data points, average the two middle values.
4. Find the lower quartile, which is the median of the lower half of the data points. Similarly, find the upper quartile, which is the median of the upper half of the data points.
5. Calculate the interquartile range (IQR) by subtracting the lower quartile from the upper quartile.
6. Locate the values for the minimum and maximum data points. These will be outliers if they fall outside the fences, which are typically 1.5 times the IQR away from the quartiles.
7. Draw a number line or horizontal axis and label it with appropriate scales. Then, draw a box extending from the lower quartile to the upper quartile, with a line segment or dot representing the median inside the box.
8. Add whiskers by drawing lines or line segments extending from the box to the minimum and maximum values within the fences. If there are outliers, draw additional lines or points to represent them outside the fences.

Who needs box and whisker plot:

1. Box and whisker plots are useful for statisticians and data analysts who want to visually represent and summarize a dataset's distribution.
2. Researchers and scientists often use box and whisker plots to analyze and compare data from different groups or conditions.
3. Educators and teachers might use box and whisker plots to teach students about measures of central tendency, variability, and outliers in statistics.
4. Business professionals may utilize box and whisker plots to present and interpret data in meetings, reports, or presentations.
5. Individuals who are interested in visualizing and understanding the distribution of data may find box and whisker plots helpful in gaining insights and making informed decisions.

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What is box and whisker plot?

A box and whisker plot is a type of graph used to show the spread of data. It consists of a box, which represents the middle 50% of data points, and two "whiskers" that indicate the lowest and highest values in the data set. The box and whisker plot is a great way to quickly assess the range and distribution of data points.

What is the purpose of box and whisker plot?

The box and whisker plot is a graphical representation of a five-number summary: the minimum, lower quartile, median, upper quartile, and maximum. It is used to display the distribution of a dataset, to compare multiple datasets, and to identify outliers.

When is the deadline to file box and whisker plot in 2023?

The deadline to file box and whisker plot in 2023 will depend on the specific filing requirements of the entity requesting the plot. It is best to check with the entity directly to determine the exact deadline.

What is the penalty for the late filing of box and whisker plot?

There is no penalty for the late filing of a box and whisker plot.

Who is required to file box and whisker plot?

A box and whisker plot is a type of data visualization that can be created by anyone who wants to analyze and display the distribution of a set of data. It is commonly used in statistics and can be useful for identifying the median, quartiles, range, and outliers in a data set.

How to fill out box and whisker plot?

To fill out a box and whisker plot, follow these steps: 1. Gather the data: Collect the numerical data or dataset for which you want to create the box and whisker plot. 2. Arrange the data in ascending order: Arrange the data points in ascending order from smallest to largest. 3. Find the minimum and maximum values: Determine the smallest and largest values in the dataset, which will be used to determine the whiskers of the plot. 4. Find the median: Locate the middle value of the dataset, which will be the median. If the dataset has an even number of data points, find the average of the two middle values. 5. Find the lower and upper quartiles: Divide the dataset into two halves, either by the median (if the median is an odd number) or by removing the median value(s) (if the median is an even number). The lower quartile (Q1) will be the median of the lower half, and the upper quartile (Q3) will be the median of the upper half. 6. Determine any outliers: Calculate the interquartile range (IQR) by subtracting Q1 from Q3. Values that lie below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR are considered outliers and should be marked separately on the plot. 7. Draw the plot: On a number line, draw a box from Q1 to Q3, with a line inside representing the median. Draw "whiskers" from the box to the smallest and largest values, excluding any outliers. If there are any outliers, mark them separately on the plot using dots or asterisks. 8. Label the plot: Add labels to the plot, such as the title, axis labels, and any other relevant information. Note: Box and whisker plots are useful for comparing and visualizing the distribution of data, as they show the range, quartiles, and potential outliers. They are particularly effective when comparing multiple datasets.

What information must be reported on box and whisker plot?

A box and whisker plot presents several key pieces of information: 1. Minimum value: The smallest data point within the dataset is represented by the lower end of the whisker (the line extending from the box). 2. Maximum value: The largest data point within the dataset is represented by the upper end of the whisker. 3. Lower quartile (Q1): This represents the 25th percentile of the data, meaning that 25% of the data points fall below this value. It is the lower boundary of the box. 4. Median (Q2): Also known as the second quartile, this is the middle value of the dataset when arranged in ascending order. It divides the dataset into two equal halves. The median is represented by the line within the box. 5. Upper quartile (Q3): This represents the 75th percentile of the data, meaning that 75% of the data points fall below this value. It is the upper boundary of the box. 6. Interquartile range (IQR): It is the range between Q1 and Q3, covering the middle 50% of the data. It is represented by the height of the box. In addition to these measures, outliers can be identified and displayed on a box and whisker plot. Outliers are data points that lie significantly above or below the overall pattern of the dataset. They are often represented as individual points on the plot, distinct from the whiskers and the box.

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