Free graphing resources · Original practice
Turn four lists into line plots. Count repeated values, identify every mode and keep the dots unconnected because this is a frequency display.
Turn four lists into line plots. Count repeated values, identify every mode and keep the dots unconnected because this is a frequency display.
Choose Letter or A4, then download a student sheet first. Keep the separate reference or answer file closed until you have attempted the case. Every worksheet, SVG and answer is free without signup.
Original worksheet collection. Letter or A4 PDF and editable SVG.
Original worksheet collection. Letter or A4 PDF and editable SVG.
Original worksheet collection. Letter or A4 PDF and editable SVG.
Original worksheet collection. Letter or A4 PDF and editable SVG.
Complete free PDF pack.
| Case | Focus |
|---|---|
| LP01 | Whole-number counts |
| LP02 | A small range |
| LP03 | Repeated middle value |
| LP04 | Compare two peaks |
All examples use original fictional data and coordinate units. They are practice material, not measured classroom results, published questions or evidence about real people.
LP01: Whole-number counts
| Check | Worked result |
|---|---|
| 1 | 0:2, 1:3, 2:2, 3:4, 4:1, 5:2. |
| 2 | Most frequent value(s): 3. |
| 3 | Dots stack one per observation; do not connect them. |
The first case shows the checking pattern. Individual answer files contain the completed graph and result for every case.
Begin by confirming that the listed coordinates and supplied values in the source files match the intended integer lists. Since physical printer checks have not been performed, rely on the original fictional practice material to ensure accuracy. Open the reference PDF to cross-check the four original integer lists against the listed data. This step ensures that the stacked marks will align correctly with the horizontal values. Because these are not measured people or experiments, the focus remains on the internal consistency of the fictional data sets provided in the CC BY 4.0 resources.
Adjust your document settings to accommodate the specific layout required for line plots. Ensure that the horizontal axis displays the integer values clearly without connecting the dots, as these are frequency displays rather than time observations. Set the vertical spacing to allow for one stacked mark per observation above its value. This configuration prevents visual clutter and ensures that the most frequent values are easily identifiable. Remember that the horizontal values are not time observations, so maintain a static scale for accurate comparison of the four distinct cases.
Before distributing the student PDFs, verify that the answer PDFs correspond correctly to the specific case IDs such as LP01 or LP04. Since listed coordinates determine the answers, ensure that the count of stacks matches the frequency of each value in the fictional data. This validation step confirms that the separate reference, student, and answer files are properly paired. By checking the alignment of the answer keys with the original integer lists, you ensure that the comparison of most frequent values is accurate for users who download the free CC BY 4.0 pack.
| Watch for | Check instead |
|---|---|
| Connecting the dots on the line plot as if they represent a continuous trend or time series. | Keep the dots separate and stacked vertically above each integer value to accurately represent frequency counts without implying temporal continuity. |
| Assuming the horizontal axis represents time intervals or measured experimental data points. | Treat the horizontal values strictly as discrete integer categories from the fictional practice material, not as measured people or time observations. |
| Expecting physical print quality to match digital precision without verifying the layout first. | Rely on the digital coordinates and supplied values for accuracy, acknowledging that physical printer checks have not been performed on these resources. |
Choose the PDF that matches your paper. Print at Actual size / 100% and turn off Fit, Shrink and browser headers. SVG is editable but an editor can rescale it; the PDF is the simpler print route. Physical printer, classroom and curriculum tests have not been completed.
No. A line plot stacks marks above values to show frequency.
A mode is a value with the greatest frequency; list every tied mode.
Each dot represents one observation, so stacking makes the count visible.
Yes. The individual student, reference and answer files plus collection packs are free without signup. Credit Zumola under CC BY 4.0 when sharing or adapting.
A line plot places each distinct value at its exact position on a number line and stacks a mark above it once per occurrence. When values are fractions, the axis must be divided into equal intervals that let each fraction land on a tick or a clearly labeled midpoint. Choose a scale that fits the data range, then label enough ticks that a reader can identify every plotted value without guessing.
Do not round fractions to the nearest whole number to make plotting easier. Rounding changes the data and can merge two distinct values into one stack, which alters the mode and the shape of the display. If a value falls between labeled ticks, either add a tick at that fraction or state the interval clearly so the position is unambiguous.
The sum of all stack heights must equal the number of entries in the data list. This single check catches most plotting errors: a missed value, a duplicated mark, or a value placed at the wrong tick. Record each frequency beside its value before plotting, then add the frequencies and compare with the list length.
A second check is positional. Read each stack back to its axis label and confirm it matches the intended fraction. Values close together, such as three-eighths and one-half, are easy to misplace when intervals are coarse. If two stacks sit on adjacent ticks, verify the axis labels rather than trusting visual spacing alone.
A line plot shows individual exact values with stacked marks and no connecting line. A bar graph compares categories, where the horizontal axis holds labels rather than a continuous number scale. A histogram groups continuous data into bins and uses touching bars, so individual values are not shown.
Label the data type on the sheet: discrete measured values suit a line plot, categories suit a bar graph, and continuous measurements grouped into intervals suit a histogram. If bins are used, state the bin width and the quartile method, because different conventions can shift boundary values.
Stack marks vertically and keep them the same size so height reads as frequency. Leave a small, consistent gap between the axis and the first mark so the value position stays visible. Avoid offsetting stacks sideways, which can suggest a second value at the same position.
Keep labels horizontal where possible and space ticks evenly. If the axis is crowded, extend the range rather than skipping labels, since skipped labels make exact fraction positions hard to verify.
When interpreting, report the mode, the range, and the total count, and note any gaps where no value occurs. A gap is meaningful: it shows a value absent from the data, not a plotting error. Compare two peaks by their heights, not by how wide the stacks look.
For a rubric-based art or design task, judge clarity, correct positioning, and consistent stacking rather than expecting one exact picture. Multiple valid layouts can communicate the same data accurately.
Plot these eight measurements on a line plot: one-half, three-quarters, one-half, one-quarter, three-quarters, one-half, one-quarter, one-half.
Count each exact value: one-quarter appears twice, one-half appears four times, and three-quarters appears twice. The frequencies sum to 2 + 4 + 2 = 8, matching the eight entries. Set the axis from one-quarter to three-quarters with ticks at one-quarter, one-half, and three-quarters. Stack two marks above one-quarter, four above one-half, and two above three-quarters. The mode is one-half with four marks. The range is three-quarters minus one-quarter, which equals one-half. No connecting line is drawn.
No. A line plot is a frequency display, so marks stack above each value and are not joined. A connecting line implies a trend between points, which is a different graph.
Add a tick at that exact fraction or label the midpoint clearly. Do not round the value, because rounding merges distinct values and changes the mode.
The sum of all stack heights must equal the number of entries in the data list. If it does not, a value was missed, duplicated, or placed at the wrong position.
