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Mean and Range

The mean is total divided by count; the range is maximum minus minimum.

How it works

The mean is total divided by count; the range is maximum minus minimum. Name the quantities before calculating, keep each transformation logically equivalent, and check the result against the original conditions.

Worked example

Find the mean and range of 4, 7, 10.

  1. Add: 4+7+10=21.
  2. Divide by 3 to get mean 7.
  3. Subtract 10−4 to get range 6.

Mean 7; range 6.

Try it now

These questions come from the same validated skill generator used by the game.

Common mistakes

  • Using a remembered formula without identifying what each symbol represents.
  • Changing a value or condition during an intermediate step.
  • Skipping the final substitution, estimate, or logical check.

Challenge

Make four integers with mean 10 and range 8.

Questions learners ask

What is the key idea in mean and range?

The mean is total divided by count; the range is maximum minus minimum.

How should I check an answer?

Substitute it into the original conditions, check units and signs, and decide whether its size is reasonable.

Use this in real life