Measures of Location summary

Key learning points

• Mean uses every value; median is the middle ordered value; mode is most frequent.
• Skew pulls the mean toward the long tail.
• Grouped data: estimate means with midpoints.
• Choose the average that fits the context.

Worked example 1 — Median

Ordered data $2,5,5,7,9$. Median?

Working

Odd count ⇒ middle entry.

Worked example 2 — Mean uses every value; median is the middle ordered

Use this method from the Measures of Location sheet: Mean uses every value; median is the middle ordered value; mode is most frequent.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — Skew pulls the mean toward the long tail

Use this method from the Measures of Location sheet: Skew pulls the mean toward the long tail.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Grouped data: estimate means with midpoints

Use this method from the Measures of Location sheet: Grouped data: estimate means with midpoints.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — Choose the average that fits the context

Use this method from the Measures of Location sheet: Choose the average that fits the context.

Working

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.