Uvero — STEM Learning

Range and Data Spread

The range is the largest value minus the smallest and gives a simple measure of spread. A large range indicates widely separated extremes but says little about middle values. A careful solution names the quantities, keeps place value or units visible, and explains why each operation fits.

Worked reasoning

The maximum is 19 and minimum is 7.
$19-7=12$ .

Find the range of $12,7,19,15,9$ .

Which statement best captures the central mathematical idea in Range and Data Spread?

A large range indicates widely separated extremes but says little about middle values.

A familiar-looking calculation may be used without checking place value, units, conditions or what the answer represents.

A memorised formula is valid even when its conditions are not met.

The diagram or notation replaces the need to justify each mathematical step.

When starting a problem about Range and Data Spread, which move is most reliable?

Represent the given information clearly and identify the operation or relationship required for range and data spread.

Round every value before identifying the mathematical structure.

Choose the longest available formula and substitute immediately.

Assume the desired conclusion and work backwards without checking equivalence.

Which statement is a misconception that must be rejected when working with Range and Data Spread?

A familiar-looking calculation may be used without checking place value, units, conditions or what the answer represents.

A large range indicates widely separated extremes but says little about middle values.

Represent the given information clearly and identify the operation or relationship required for range and data spread.

Estimate first, then reverse the operation or use a second representation to check that the answer is reasonable.