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Sheet A1Q417 1 Name: Date: Mr. Carmen Algebra 1: Quartiles and Box and Whisker Plots DO NOW: (Review) Create a stem and leaf plot for this list of test scores: 93, 94, 55, 65, 80, 83, 86, 70, 72,
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How to fill out a1q4-17 quartiles and box

How to fill out a1q4-17 quartiles and box:
01
Start by organizing the data: Gather the set of numbers or values that you want to calculate the quartiles and box plot for. Make sure the data is numerical.
02
Arrange the data in ascending order: Put the data in numerical order from smallest to largest. This will make it easier to determine the quartiles.
03
Calculate the first quartile (Q1): The first quartile divides the data into the lower 25% range. To find it, you can use the following formula: Q1 = (n + 1) / 4, where n is the number of data points. If the result is a whole number, take the value at that position in the sorted data. If it's a decimal, find the two values surrounding it and calculate the average.
04
Calculate the second quartile (Q2 or median): The second quartile is the midpoint of the entire data set. It divides the data into the lower 50% and upper 50% ranges. If the number of data points is odd, simply take the middle value. If it's even, find the two values in the middle and calculate their average.
05
Calculate the third quartile (Q3): The third quartile divides the data into the upper 25% range. You can use the formula Q3 = (3n + 1) / 4 to find it. Again, if the result is a whole number, take the value at that position. If it's a decimal, find the two values surrounding it and calculate the average.
06
Create the box plot: A box plot visually represents the quartiles and additional information about the data set. Draw a number line and mark the appropriate values for Q1, Q2 (median), and Q3. Then, draw a box from Q1 to Q3 and a vertical line in the box to represent the median. Finally, extend lines or "whiskers" from the box to the minimum and maximum data points.
Who needs a1q4-17 quartiles and box?
01
Statisticians and Data Analysts: Professionals in fields like statistics, data analysis, and research often need to calculate quartiles and create box plots to gain insights into a dataset's distribution and variability.
02
Students and Researchers: Individuals studying mathematics, statistics, or any field that deals with data analysis may need to know how to fill out a1q4-17 quartiles and box. These skills are essential for interpreting data and making informed conclusions.
03
Business Professionals: Professionals working in fields such as finance, marketing, or operations may also find quartiles and box plots useful in analyzing and presenting data, especially when dealing with metrics, sales figures, or performance indicators.
In summary, anyone working with numerical data can benefit from knowing how to fill out a1q4-17 quartiles and box. Whether it's for academic or professional purposes, these techniques provide valuable insights into the distribution and summary statistics of a dataset.
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