Uvero — STEM Learning

The Mean and Outliers

The mean is the total divided by the count and can be pulled strongly by an extreme value. Compare mean with median when data include an outlier. A careful solution names the quantities, keeps place value or units visible, and explains why each operation fits.

Worked reasoning

The total is 30.
$30\div5=6$ .

Find the mean of $4,5,5,6,10$ .

Which statement best captures the central mathematical idea in The Mean and Outliers?

Compare mean with median when data include an outlier.

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 The Mean and Outliers, which move is most reliable?

Represent the given information clearly and identify the operation or relationship required for the mean and outliers.

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 The Mean and Outliers?

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

Compare mean with median when data include an outlier.

Represent the given information clearly and identify the operation or relationship required for the mean and outliers.

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