Mathematics
Grade 8
15 min
Create and interpret line plots with fractions
Create and interpret line plots with fractions
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1
Introduction & Learning Objectives
Learning Objectives
Define and identify key components of a line plot.
Choose an appropriate scale for a number line when representing fractional data.
Accurately construct a line plot from a given set of fractional data.
Interpret the frequency of fractional data points shown on a line plot.
Calculate statistical measures such as range and mode from a line plot with fractional data.
Solve real-world problems by creating and interpreting line plots with fractions.
Ever wondered how to visually organize measurements like ingredient amounts or growth rates that aren't whole numbers? 📏📊
In this tutorial, you'll learn how to create and interpret line plots, specifically when your data involves fractions. This skill is crucial for visualizing and understanding data d...
2
Key Concepts & Vocabulary
TermDefinitionExample
Line Plot (Dot Plot)A line plot is a graphical display of data where each data point is represented by an 'X' (or dot) above a number line. It shows the frequency of each value in a data set.If three students read 1/2 an hour, you would place three 'X's above 1/2 on the number line.
Fractional DataData points that are expressed as fractions or mixed numbers, rather than whole numbers. These often represent parts of a whole.Measurements like 1/4 inch, 3/2 cups, or 5/8 mile are examples of fractional data.
FrequencyThe number of times a particular data value appears in a set of data. On a line plot, frequency is represented by the number of 'X's stacked above a value.If there are five 'X's above the value 3/4, it means the freque...
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Core Formulas
Rule for Choosing a Number Line Scale
To create an effective line plot for fractional data, identify the least common denominator (LCD) of all fractions in your data set. Use this LCD to determine the smallest intervals for your number line.
This rule ensures that all fractional data points can be accurately placed on the number line without estimation, making the plot clear and precise. For example, if your data includes 1/2, 3/4, and 1/8, the LCD is 8, so your number line should be marked in 1/8 increments.
Rule for Plotting Data Points
For each data value in your set, place an 'X' (or dot) directly above its corresponding position on the number line. If a value appears multiple times, stack the 'X's vertically.
This rule ensures that the frequency of e...
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Challenging
A line plot shows the weight of different gemstones in carats. The range of the data is 7/8 carats and the mode is 1/2 carat. The lowest value is 1/8 carat. Which of the following data sets could be represented by this plot?
A.{1/8, 1/4, 1/2, 1/2, 7/8}
B.{1/8, 1/2, 1/2, 1/2, 1}
C.{1/4, 1/2, 1/2, 3/4, 1}
D.{1/8, 1/8, 1/2, 3/4, 7/8}
Challenging
A line plot displays the data {1/4, 1/2, 1/2, 3/4, 1}. If the data point at 1 is removed and one of the data points at 1/2 is removed, how do the range and mode change?
A.The range decreases and the mode becomes bimodal.
B.The range decreases and the mode stays the same.
C.The range stays the same and the mode changes.
D.The range increases and the mode stays the same.
Challenging
A line plot shows five data points representing the length of wires in meters. The data points are {1/8, 1/4, x, 1/2, 3/4}. If the sum of all the wire lengths is 2 meters, what is the value of x?
A.1/4
B.1/2
C.3/8
D.5/8
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