Averages: Mean, Median and Mode
This lesson introduces Year 7 students to the three main types of average (mean, median, and mode). Students will learn how to calculate each and understand their specific uses in real-world contexts, progressing from simple lists to finding missing values.
Learning objectives
- Calculate the mean, median, and mode for a discrete set of data.
- Choose the most appropriate average to represent a data set.
- Find a missing value in a data set given the mean.
Lesson plan (60 minutes)
Introduction · 5 min
Starter: 'Ordering Race'. Students are given 5 sets of 5 numbers to put in ascending order as quickly as possible.
Direct Instruction · 15 min
Teacher Explainer: Introducing Mode, Median, and Mean using the 'Averages Family' analogy. Guided worked example.
Independent Practice · 25 min
Differentiated Worksheet Activity: Students work through Support, Core, or Stretch tasks based on prior attainment.
Assessment · 10 min
Multiple Choice Quiz: Quick-fire check for understanding using mini-whiteboards or the provided quiz.
Reflection · 5 min
Plenary: Discussing which average is 'best' for different scenarios (e.g., shoe sizes vs. house prices).
Key vocabulary
- Mean
- The sum of the values divided by the number of values.
- Median
- The middle value in a list of numbers ordered from smallest to largest.
- Mode
- The value that appears most frequently in a data set.
- Outlier
- A value that is much smaller or much larger than the rest of the data.
- Data Set
- A collection of facts, numbers, or measurements.
Core worksheet (first questions)
- Find the mean, median and mode of: 6, 4, 9, 6, 5
- Find the mean, median and mode of: 7, 2, 4, 8, 4
- Find the mean, median and mode of: 12, 8, 13, 9, 8
- The mean of four numbers is 10. Three of the numbers are 7, 9, and 13. Find the fourth number.
Quiz (sample)
1. What is the mode of this data set: 5, 7, 8, 7, 10, 3?
- A. 5
- B. 6
- C. 7
- D. 8
2. What is the median of: 2, 4, 6, 9, 10?
- A. 4.5
- B. 5
- C. 6
- D. 7.5
3. What is the mean of: 3, 5, 7, 5?
- A. 4
- B. 5
- C. 6
- D. 20
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