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Data - Frequency Tables and Line Plots Joseph Williams Modified by Charlotte Stripling M7D1.b Construct frequency Distributions Objective: Create and interpret frequency tables and line plots.

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Vocabulary Data - information, often given in the form of numbers or categories. Frequency Table – a table that displays the number of times each item or category occurs in a data set. Line Plot – a number line diagram that uses X marks to show the frequencies of items being tallied.

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Line Plot Example Students at a Party

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Making a Frequency Table Numerical Data: Data consisting of numbers, not categories. Numerical Questions: How many books have students read last month?

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B ooks Students Read Last Month (numerical) # of BooksTalliesFrequency 1 llll 5 2 5 3 llll l 6 4 ll 2 5 6 7 llll 4 students

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Making a Line Plot Is a visual of the frequency distribution. Line plots are NOT used for categorical data. Draw a number line whose scale starts at or before the minimum data value and stops at or after the maximum data value. Use a consistent increment.

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Completed Line Plot - When the items being tallied are numbers, a line plot can be used to visually display numerical data. A line plot uses X marks above a number line to show the frequencies. 1234567 Number of Books Read XXXXXXXXXX XXXXXXXXXX XXXXXXXXXXXX X XXXXXXXX The X marks above the number line show the frequencies. The Number Line shows the number of books read.

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Making a Frequency Table Categorical data: data that can be placed into categories. Categorical question: What is your favorite color? NOTE: Categorical data can be shown in a frequency table but not a line plot.

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Completed Frequency Table- Favorite Color (category) ColorTalliesFrequency Blue llll 5 Red lll 3 Yellow l 1 Purple ll 2 Orange llll 4 Green Black ll 2 people

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Variability in Data Distributions Outliers-Unusually high or low values in a distribution. Clusters-An group of data values with higher frequency than surrounding values. Gaps-Areas in the scale where there is a lack of data values.

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Analyze the Data Now look at the Frequency Tables and the Line Plots from your notes to see if you can identify any outliers, clusters or gaps.

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