Bar graph worksheets.
Make category counts visible.

Use equal-width, separated bars to compare four or five categories. Calculate totals and count gaps, including a case with two categories tied for the largest value.

Use the student pack for an attempt, then compare the separate reference or worked answer. Every case is original. All PDF and editable SVG resources are free without signup; each collection pack repeats its individual sheets in the same order.

The examples and datasets are made for these worksheets. They are not measured classroom results, published textbook questions or evidence about real people. Axis values and the supplied data determine the answers; paper measurements do not replace those numbers.

BG01: Fictional art supplies

The table gives one worked case so you can check the method. The separate answer files contain the completed plots and results for every case. Keep the count scale and equal bar widths consistent, and include every tied maximum.

1. Read the category scale before drawing Choose one of the four count tables. The student graph already labels the categories and marks the vertical count axis from 0 to 12 in steps of two. A count of five belongs halfway between four and six, rather than on the fifth labeled tick. Use the same width for every bar and preserve gaps between categories. The counts are fictional practice values, so there is no survey sample or real population to infer. Read the table, construct the bars and keep the axes intact before calculating comparisons.
2. Make the bar heights match the counts Start each bar at the zero baseline and extend it to the corresponding value. In BG01 the Pencil bar reaches 6 and the Pen bar reaches 10; their difference is 4 items. Give Brush and Chalk their own equal-width bars rather than stacking them. In BG02, Circle and Star both have count 7, so their tops align halfway between the 6 and 8 grid lines. Preserve both as maxima. A complete drawing must identify each category as well as its numerical height.
3. Calculate Totals and Identify Maxima Sum the recorded values to find the total count for the dataset. For example, add the values for tile colors to get the aggregate number. Next, identify the largest value to determine the maximum. If multiple categories share the highest value, include all tied maxima in your answer. Calculate the gap by subtracting the smallest value from the largest value. This difference is measured in count units, not graph heights. Review the worked answer sheet to verify your calculations against the reference. This process confirms understanding of discrete category data and basic arithmetic operations on the counts.

Choose the Letter or A4 file that matches your paper. Actual size / 100% preserves the designed layout; a different uniform print scale changes physical lengths but does not change the listed numbers or the arithmetic. Keep the whole chart and all labels inside the printable area. A ruler can help draw straight segments, but calculate from the stated numerical scale.

These files have digital geometry, arithmetic and page-boundary checks. Physical printer and classroom trials have not been completed. The resources are practice material, with no claim of curriculum certification or precision-instrument accuracy. The original files use CC BY 4.0: credit Zumola, link the license and indicate changes.

Further reading: OpenStax: categorical data and bar charts. The data tables, illustrations and exercise cases here are original Zumola work.