Line Plots and Data

Make and interpret line plots with fractions on the number line.

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Line Plots and Data

What Is a Line Plot?

A line plot (also called a dot plot) shows data on a number line. Each X or dot represents one data value.

Making a Line Plot

  1. Draw a number line with the range of your data
  2. For each data value, place an X above that number
  3. Stack X's when values repeat
  4. Add a title and label

Example

Heights of seedlings (in inches): 14,12,14,34,12,12,14,1,34\frac{1}{4}, \frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{1}{2}, \frac{1}{2}, \frac{1}{4}, 1, \frac{3}{4}

Plot these on a number line from 0 to 1, marking 14,12,34,1\frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1.

Reading Line Plots

From a line plot you can find:

  • Most common value (mode): The value with the most X's
  • Range: Highest value − Lowest value
  • Total: Count all the X's
  • Clusters: Where data groups together
  • Gaps: Where there's no data

Solving Problems with Line Plots

Example: If the line plot shows seedling heights, you might answer:

  • How many seedlings were measured? (Count all X's)
  • What was the most common height? (Tallest stack)
  • What is the total height of all seedlings? (Add all values)

Fractions on Line Plots

Line plots can show fractional values like 18,14,38,12\frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{1}{2}

To find the total of fractional data, add all the fractions: 14+14+12=14+14+24=44=1\frac{1}{4} + \frac{1}{4} + \frac{1}{2} = \frac{1}{4} + \frac{1}{4} + \frac{2}{4} = \frac{4}{4} = 1

Practice: Collect data about something in your class (shoe sizes, number of siblings) and make a line plot!

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