Math Worksheet · Grades 4–6

Mean, Median, and Mode Worksheet

A 3-page worksheet for grades 4-6 that introduces the three measures of center: mean (average), median (middle), and mode (most frequent). Students compute one measure for each of 8 small data sets in Section A, then solve 6 word problems in Section B – including a missing-value problem (find a number that makes the mean a target value) and a new-mean problem (recompute the mean when one more value is added). Includes a complete answer key.

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Preview of page 1 of the Mean, Median, and Mode Worksheet

Subject

Math

Grades

Grades 4–6

Skill Focus

Mean, Median, and Mode, data

Lesson Length

25 minutes

Lesson Overview

About this worksheet

Mean, median, and mode are the first three statistical measures students meet, and the foundation for every later data display. Mean is the arithmetic average (sum of all values divided by how many values), median is the middle number when the values are sorted (or the average of the two middles when there’s an even count), and mode is the value that appears most often (a data set can have no mode or more than one mode). This worksheet isolates each measure’s computation rule so students can practice the three moves before tackling longer multi-step data problems.

The reference box at the top of page 1 defines each measure in one sentence and walks students through a generic worked example using the data set 2, 4, 6, 8, 10. For mean, students add and divide: (2+4+6+8+10) / 5 = 6. For median, the middle value of the sorted list is also 6 (an even-count median – the average of two middles – is introduced in Section A item 5). For mode, the example data has none because every value appears exactly once.

Section A on page 1 gives students 8 small data sets and asks for ONE measure per item, rotating across the three measures so students cycle through the rules. Items 1, 4, 7 are mean (compute the sum, divide); items 2, 5, 8 are median (sort, find the middle, average the two middles when even-count); items 3 and 6 are mode (count which value appears most often). The cols:1 layout gives each prompt a full-row answer line so students can show the simplified result.

Section B on page 2 raises the difficulty to word problems with story contexts. Students compute the MEAN of 5 test scores, the MEDIAN of 7 students’ book counts, the MODE and MEDIAN of an age data set, find a MISSING value that makes the mean equal a target, and compute a NEW MEAN when an additional value is added to a data set from earlier in the same worksheet. Page 3 is a complete answer key with all measures worked out (Section A item 5 produces a decimal answer of 17.5 to teach the average-the-two-middles even-count rule).

How to Use This Lesson

Read the reference box aloud and walk students through computing each of the three measures on the 2, 4, 6, 8, 10 example.

Work Section A item 1 (mean of 5, 7, 9, 11, 13) together; ask students to state the sum (45) and the divisor (5) before computing the answer.

Assign the rest of Section A independently or with a partner; remind students to SORT before finding the median.

Use Section A item 5 (median of 15, 20, 10, 30, 25, 5) as a structured discussion of the even-count median rule (answer is 17.5, the average of 15 and 20 after sorting).

Turn to page 2 and read Section B item 13 (the missing-value problem) together as a class – this is the hardest Section B problem.

Use the answer key on page 3 for self-check or aide spot-check.

Printable Resource

A classroom-ready PDF with everything in one printable resource.

Full Member Resource · Printable PDF · 3 pages · Answer Key