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Dot Plots and Frequency Tables CCGPS Coordinate Algebra Unit 4 Statistics
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Dot Plots Dot plots aid in visualizing the spread of data, frequency of data, and its central tendencies
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How to make a DOT PLOT: Step 1: Label your axis and title your graph. Draw a horizontal line and label it with the variable. Title your graph Step 2: Scale the axis based on the values of the variable Step 3:Mark a dot above the number on the horizontal axis corresponding to each data value.
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Let’s create a dot plot EXAMPLE #1 Record the data below for each student’s shoe size in the class. Disregard differences in sizing for males and females.
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Plot the dots Much like a box and whisker plot, choose an appropriate scale for the data and create a number line labeling each marker. Next, record each piece of data using a dot. If a piece of data is repeated, place a dot above the existing plot.
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Analyzing the Class data The spread of data is measured by the range. What is the spread of data? What is the mode? What is the center of the data? Is the distribution skewed or unusual in any way?
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Example #2: The number of goals scored by each team in the first round of the California Southern Section Division V high school soccer playoffs is shown in the following table. 5 01072104 0 30203150 3 01010203
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SHAPES REVIEW Skewed Right: Most of the data is concentrated to the left of the graph (tail point to the right) Skewed Left Most of the data is concentrated to the right of the graph (tail points to the left) Symmetric: The majority of the data is concentrated in the center of the graph (shaped like a bell)
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What is the shape of the dot plot? YES, It is skewed right.
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Center and Spread Center: the value that divides the observations so that about half have smaller values (It is exactly like finding the median) Spread: the smallest and larges values expressed in an interval (range)
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Example #2: Analyze What is the center and spread of the dot plot? The center is 1 and the spread is 0 through 7
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Birthdays Dot Plot EXAMPLE #3 Create a dot plot using the months each person in the class was born.
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Birthdays Dot Plot Choose a scale and label the number line. Record the data from the table.
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Analyzing the Class data The spread of data is measured by the range. What is the spread of data? What is the mode? What is the center of the data? Is the distribution skewed or unusual in any way?
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What is a Frequency Table? A Frequency table is a table that lists each item in a data set with the number of times it occurs.
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Frequency Tables EXAMPLE #4: The frequency of data is measured by how many times a piece of data is repeated. What are the frequencies of each type of snake? Type of Snake Frequency Black Cobra Python Anaconda Rattlesnakes Green Cobra
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Construct a Frequency Table (tally sheet) Enter the data value into the 1 st column Data ValueTallyFrequency 0 1 2 3 4 5 6 7 8 9 10 7, 10, 10, 9, 8, 9, 7, 4, 3, 7, 10, 4, 8, 9, 6, 7, 10
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Example #5 Choose a scale and label the number line. Record the data from the table.
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Analyzing the Class data The spread of data is measured by the range. What is the spread of data? What is the mode? What is the center of the data? Is the distribution skewed or unusual in any way?
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Classwork Finish the task practice and turn into the bin. You may consult with a partner near you if needed.
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