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Interpret line plots

A line plot represents a data set by placing one mark above each value on a labeled number line, so the height or count of marks shows the frequency of each measurement. Interpretation includes identifying values, comparing frequencies and measurements, determining totals and differences, and solving addition or subtraction problems involving fractional measurements marked in halves, fourths, or eighths; more general statistical measures and scales are beyond this scope.

Detailed Explanation: Interpret line plots

A line plot shows data on a number line. Each mark represents one measurement. To interpret it:

  1. Read the values under the number line.
  2. Count the marks above each value.
  3. Use the counts to compare values or solve a problem.

Example: This line plot shows ribbon lengths in inches.

                        X
                X       X       X
        X       X       X       X
        --------------------------------
        1/4     1/2     3/4      1

Question: What is the total length of all the ribbons?

Step 1: Count the marks at each value.

  • There is 11 ribbon that is 14\frac14 inch.
  • There are 22 ribbons that are 12\frac12 inch.
  • There are 33 ribbons that are 34\frac34 inch.
  • There are 22 ribbons that are 11 inch.

Step 2: Write an addition sentence.

14+2(12)+3(34)+2(1)\frac14+2\left(\frac12\right)+3\left(\frac34\right)+2(1)

This means to add all the ribbon lengths represented by the marks.

Step 3: Rewrite the fractions with fourths.

14+44+94+84\frac14+\frac44+\frac94+\frac84

Step 4: Add.

224=512\frac{22}{4}=5\frac12

The total length of all the ribbons is 512\boxed{5\frac12} inches. There are 88 ribbons altogether because the plot has 88 marks.

Learn by doing: Interpret line plots

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    Graphing - Line Plot - Total of Series

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