Mathematics
Grade 6
15 min
Create line plots
Create line plots
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify data sets appropriate for representation on a line plot.
Determine the appropriate scale and intervals for a number line based on a given data set.
Accurately draw and label a number line for a line plot.
Plot data points correctly using 'X's, stacking them to show frequency.
Title and label a line plot clearly and descriptively.
Interpret information and draw conclusions from a completed line plot.
Create a complete and accurate line plot from a raw data set.
Ever wonder how to visually organize a list of numbers, like the number of siblings your classmates have, to quickly see patterns? 📊 Let's learn a cool way to display data!
In this lesson, you'll discover how to create line plots, a simple yet powerful way to display...
2
Key Concepts & Vocabulary
TermDefinitionExample
Line PlotA graph that shows the frequency of data along a number line, using 'X' marks to represent each data point.A line plot showing how many students own 0, 1, 2, or 3 pets.
Data SetA collection of numbers or values that you want to organize and display.The data set {5, 6, 5, 7, 8, 6, 5} represents the scores of students on a quiz.
Number LineA straight line with numbers placed at equal intervals, used as the base for a line plot.A horizontal line marked with 0, 1, 2, 3, 4, 5 at consistent distances.
FrequencyHow often a particular value appears in a data set. On a line plot, this is shown by the number of 'X's stacked above a value.If the number '7' appears 3 times in a data set, its frequency is 3.
ScaleThe range of values and the...
3
Core Formulas
Data Range Formula
$$R = V_{\text{max}} - V_{\text{min}}$$
This formula calculates the spread of your data, from the smallest ($V_{\text{min}}$) to the largest ($V_{\text{max}}$) value. It helps you decide the start and end points for your number line.
Frequency Representation Rule
$$\text{Number of X's for a value} = \text{Count of that value in the data set}$$
For each unique data value, count how many times it appears. This count tells you how many 'X' marks to stack above that value on the line plot.
Number Line Interval Rule
$$\text{Interval Spacing} = \text{Consistent Unit}$$
The distance between consecutive numbers on your number line must always be the same (e.g., every 1 unit, every 0.5 units). This ensures your plot is accurate and easy to re...
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Challenging
Two data sets are combined. Set A is {10, 11, 12, 12} and Set B is {11, 12, 12, 13}. If you create a single line plot for the combined data, which value has a frequency that is 50% of the frequency of the value 12?
A.10
B.11
C.13
D.No value
Challenging
A student is given the data set: 10, 11, 10.5, 12, 11, 10.5, 13, 11.5. They correctly identify the minimum as 10 and the maximum as 13. They decide to create a number line with intervals of 1 (marks at 10, 11, 12, 13). What is the critical error in this plan?
A.The range is too small for a line plot.
B.The intervals of 1 are too large and will not allow for precise plotting of the decimal values.
C.The number line should have started at 0.
D.They misidentified the maximum value.
Challenging
A partially completed line plot is titled 'Books Read in May'. The number line goes from 0 to 5. There are 2 'X's at 1, 3 'X's at 2, and 1 'X' at 4. The teacher states there are 10 students in total and the range of the data is 5. Where must the remaining 'X's be placed?
A.One 'X' at 0 and three 'X's at 5.
B.Four 'X's at 3.
C.Two 'X's at 0 and two 'X's at 5.
D.One 'X' at 0 and three 'X's at 3.
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