Line Plots for 5th Grade: Display and Interpret Data
A line plot (or dot plot) displays data by placing marks (X’s or dots) above a number line to show how many times each value occurs. In Grade 5, students create and interpret line plots with whole numbers and fractions (e.g., halves, quarters). Line plots help us see the distribution of data, identify the most common value (mode), find the range (difference between greatest and least), and count the total number of measurements.
To create a line plot, draw a number line that spans the data range, mark each value, and place an X above each value for each occurrence. To interpret, count the X’s at each value to find the frequency, identify the mode, and compute the range or total.
DETAILED EXPLANATION
Line plot structure: Horizontal number line with labeled values; X’s (or dots) stacked above each value to show frequency.
Mode: The value with the most X’s.
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Range: Greatest value − least value.
Total: Sum of all frequencies (number of X’s).
WORKED EXAMPLES WITH STEP BY STEP SOLUTIONS
Example 1
Students measured pencils. Lengths in inches: 4, 4.5, 4.5, 5, 5, 5, 5.5. Create a line plot and find the most common length.
Solutions:
Step 1: Draw a number line from 4 to 6 with marks at 4, 4.5, 5, 5.5.
Step 2: Place one X above 4; two X’s above 4.5; three X’s above 5; one X above 5.5.
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Step 3: The most common length (mode) is 5 inches, which has the most X’s (3).
Answer: The most common length is 5 inches.
Example 2
A line plot shows: \(\frac{1}{2}\) (3 X’s), \(\frac{3}{4}\) (5 X’s), 1 (2 X’s). How many measurements total?
Solutions:
Step 1: Count all X’s: 3 + 5 + 2 = 10.
Step 2: There are 10 measurements in total.
Answer: 10 measurements
Example 3
Find the difference between the greatest and least values: 3.2, 3.5, 3.5, 4.0, 4.2
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Solutions:
Step 1: Greatest value = 4.2, least value = 3.2.
Step 2: Range = greatest − least = \(4.2 – 3.2 = 1.0\).
Answer: 1.0
Example 4
A line plot shows lengths (in cm): 5 (2), 6 (4), 7 (3), 8 (1). What is the range?
Solutions:
Step 1: Greatest = 8, least = 5.
Step 2: Range = \(8 – 5 = 3\) cm.
Answer: 3 cm
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