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Mean, median, mode and range

Four ways to sum up a set of numbers: the mean (a fair share), the median (the middle), the mode (the most common) and the range (the spread).

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How to help

Mean: add them all, divide by how many. Median: put them in order and take the middle, or halfway between two middles. Mode: the most common. Range: greatest − least.

Watch for: Finding the median without putting the numbers in order first. Dividing the total by the wrong count, like 4 when there are 5 numbers. Giving the greatest number as the range instead of greatest minus least.

At home: Track something for a week, like minutes of reading each day. Then find the mean, median, mode and range together.

Sample sheet and answer key

Luna's Space Adventure

Grade 5 · Mean, median, mode and range · 5.PS.2

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Four ways to sum up data

Mean: share the total equally. Median: the middle, in order. Mode: most often. Range: greatest − least.

DataMeanMedianModeRange
45, 24, 59, 28, 59
48, 16, 45, 16, 46, 59, 22
29, 29, 44, 38, 20
30, 39, 17, 55, 29, 55, 13

From a line plot

Each × is one friend and how many rocket bolts they found.

3456789×××××××××Number of rocket bolts
  1. The mean is
  2. The median is
  3. The mode is
  4. The range is

Story time

  1. 1

    Max, Zed, Orion and Nova have 18, 8, 18 and 12 moon rocks. They share them out equally. How many moon rocks does each friend get?

    moon rocks
  2. 2

    Max found 8, 13, 16 and 15 star stickers on four days. How many must Max find on day 5 for a mean of 12 a day?

    star stickers
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5PS2-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 5 · Mean, median, mode and range · 5.PS.2

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Four ways to sum up data

Mean: share the total equally. Median: the middle, in order. Mode: most often. Range: greatest − least.

DataMeanMedianModeRange
45, 24, 59, 28, 5943455935
48, 16, 45, 16, 46, 59, 2236451643
29, 29, 44, 38, 2032292924
30, 39, 17, 55, 29, 55, 1334305542

From a line plot

Each × is one friend and how many rocket bolts they found.

3456789×××××××××Number of rocket bolts
  1. The mean is6
  2. The median is6
  3. The mode is4
  4. The range is6

Story time

  1. 1

    Max, Zed, Orion and Nova have 18, 8, 18 and 12 moon rocks. They share them out equally. How many moon rocks does each friend get?

    (18 + 8 + 18 + 12) ÷ 4 = 14
    14moon rocks
  2. 2

    Max found 8, 13, 16 and 15 star stickers on four days. How many must Max find on day 5 for a mean of 12 a day?

    5 × 12 = 60, then 60 − 8 − 13 − 16 − 15 = 8
    8star stickers
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5PS2-SP-FIRST at mathness.appAnswer key
Answer key

New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Standard

Virginia SOL 5.PS.2 · Find the mean, median, mode and range of a data set and use them to answer questions.

Also: Florida B.E.S.T. MA.5.DP.1.2

More grade 5 sheets: more from state standards