10 questions
6th - 7th Grade
Mathematics
Graphing and analyzing Data is a free printable mathematics worksheet for Grades 6–7 that helps students interpret data displays and frequency information. The 10 multiple-choice questions ask students to identify the mode in categorical data and frequency tables, interpret relative and cumulative frequencies, determine percentages, and use percentages or frequency data to find totals and subgroup counts. Students also analyze age-group data by finding how many people meet conditions such as being at least or less than a specified age. This worksheet gives learners practice moving between categories, frequencies, percentages, and real-world quantities while selecting and justifying the best answer. It includes a complete answer key for efficient checking, review, or independent practice.
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WorksheetsAnswer KeyBlue
About 3 students
A score of 2
22
23
11%
55 students
36 students
10 people
18 people
This Grade 6–7 mathematics worksheet uses 10 multiple-choice questions to practice identifying the mode from categorical data and frequency tables, interpreting relative or cumulative frequency, and calculating percentages and totals from data. Students apply these skills to survey results, preferences, and age-group information, building accuracy in reading data and connecting frequencies to real quantities.
Introduce the worksheet by modeling how to locate the category or score with the greatest frequency, then distinguish that mode from the frequency itself. Next, guide students through one percentage-to-count example and one age-range example before assigning the remaining multiple-choice items. Ask students to explain which value in the data display supports each answer, especially for the relative or cumulative frequency and “at least” or “less than” questions.
Students may choose the largest number shown instead of the category or score that occurs most often when identifying the mode. They may also confuse a frequency with a percentage, use the wrong total when converting a percentage to a number of students, or misread cumulative age groups when answering “at least” and “less than” questions. Have them identify the relevant category, unit, and comparison phrase before selecting an answer.
The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for grading the 10 multiple-choice questions. For printable submissions, you can scan student work with the Wayground for Teachers app to streamline grading. The PDF option can also support classes that are reducing screen time while students practice interpreting frequency tables and survey data.
After asking students to identify modes, the worksheet extends their reasoning to relative and cumulative frequency, percentages, combined totals, and counts within age ranges. These questions require students to interpret what a data value represents and use it to answer a real-world quantity question, rather than simply read a single entry from a table.
Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
