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Mathematics · Grades 6–8

Statistics & probability · Formula sheet

Rules, conditions and small examples in one printable reference.

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Range of a data set

Sort the data or find its two extreme values.

range = maximum − minimum

141 − 42 = 99

Complementary probability

An event and its complement cover all outcomes without overlap.

P(not A) = 1 − P(A)

1 − 8/20 = 3/5

Two draws with replacement

Replacing the first item keeps the second probability unchanged.

P(A then A) = P(A)²; independent draws

5/11 × 5/11 = 25/121

Interquartile range

Use medians of the lower and upper halves for this exercise.

IQR = Q₃ − Q₁

Q₁ = 50.5; Q₃ = 94.5; IQR = 44

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.