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Name: Period: Date: 11th Grade Mathematics PSA Preparation Program o Mastered On: StemandLeaf & BoxandWhisker Plots Anchors Addressed M11. E.1.1.1 Create and/or use appropriate graphical representations
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How to fill out stem-and-leaf and box-and-whisker plotspdf
To fill out a stem-and-leaf plot, follow these steps:
01
Begin by listing each number in the data set in ascending order.
02
Identify the stem and leaf for each number. The stem is the digit(s) to the left of the rightmost digit, and the leaf is the rightmost digit.
03
Write the stems in a vertical column in increasing order.
04
Write the corresponding leaves next to each stem, forming a horizontal row.
05
If there are multiple leaves with the same stem, arrange them in increasing order.
06
Provide a key that explains the value of each leaf. For example, if the data set contains numbers in the range of 10-19, the "1" stem represents the tens place.
Box-and-whisker plots are created using the following steps:
01
Begin by arranging the data set in ascending order.
02
Find the median, which is the middle value. If the data set contains an odd number of values, the median is the middle value itself. If the data set is even, calculate the average of the two middle values.
03
Identify the lower quartile (Q1), which is the median of the lower half of the data set. It is the middle value between the smallest number and the median.
04
Determine the upper quartile (Q3), which is the median of the upper half of the data set. It is the middle value between the median and the largest number.
05
Calculate the interquartile range (IQR) by subtracting Q1 from Q3.
06
Draw a number line that spans the range of the data set, and mark the locations of Q1, the median, and Q3.
07
Draw a box that spans from Q1 to Q3, with a line inside representing the median.
08
Extend lines, known as whiskers, from the box's lower and upper ends to the smallest and largest values within 1.5 times the IQR, respectively.
09
Any data points outside the whiskers are considered outliers and can be plotted individually.
9.1
Stem-and-leaf and box-and-whisker plots are commonly used in statistics and data analysis. They are particularly helpful in visually representing the distribution of numerical data. These plots provide a quick overview of the spread, central tendency, and potential outliers within a data set. They are often used in educational settings to teach students about data visualization and analysis. Additionally, professionals in fields such as finance, market research, and healthcare may utilize stem-and-leaf and box-and-whisker plots to analyze and interpret numerical data in a concise and meaningful manner.
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What is stem-and-leaf and box-and-whisker plotspdf?
Stem-and-leaf and box-and-whisker plots are graphical representations of data that display the distribution and spread of a dataset.
Who is required to file stem-and-leaf and box-and-whisker plotspdf?
Individuals or organizations conducting statistical analysis or data visualization may be required to create and file stem-and-leaf and box-and-whisker plots.
How to fill out stem-and-leaf and box-and-whisker plotspdf?
To fill out stem-and-leaf and box-and-whisker plots, data points are separated into stems and leaves for the stem-and-leaf plot, and quartiles and outliers for the box-and-whisker plot.
What is the purpose of stem-and-leaf and box-and-whisker plotspdf?
The purpose of stem-and-leaf and box-and-whisker plots is to provide insights into the shape, central tendency, and spread of a dataset in a visually appealing way.
What information must be reported on stem-and-leaf and box-and-whisker plotspdf?
Information such as minimum and maximum values, quartiles, outliers, and distribution of data points must be reported on stem-and-leaf and box-and-whisker plots.
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