Mathematics · Interactive learning companion

Mean, Mode, and Median Data Activity

Calculate mean, median and mode and explain why they can describe the same data set differently.

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📝 Description

Mean, Mode, and Median Data Activity helps students practice the three common measures of central tendency. Learners compare data sets, calculate values, and understand how different summaries represent data. It is useful for statistics revision, classroom examples, and self-practice.

📋 Instructions

Read the data set, calculate mean, median, and mode, and compare your answer with the activity feedback. Repeat with new data sets for practice.

🎓 Learning Guide: Mean, Mode, and Median Data Activity

Learning focus: Calculate mean, median and mode and explain why they can describe the same data set differently.

Mathematics Interactive learning companion

Learning objectives

Compute the arithmetic mean from all observations.
Find the middle ordered value(s) and most frequent value.

Concepts and principles

Mean is total divided by count; median is the middle of an ordered data set; mode is the most frequent value.
A very large value can strongly affect the mean without necessarily moving the mode.

Examples and worked solutions

For data 2, 2, 3, 9 find mean, median and mode.: Worked solution: Mean=(2+2+3+9)/4=4; median=(2+3)/2=2.5; mode=2.

Guided practice

Use the activity’s displayed data list, sort it, and calculate all three measures independently.
Compare your results with the game feedback and explain any difference.

Expected observations and explanations

Non-symmetric data often have different mean, median and mode values.

Assessment questions and answers

Why is the median 2.5 rather than 2 for these four values?: Answer: With four observations, it is the average of the two middle values, 2 and 3.