Measure of Central Tendency
Standard 6 Mathematics: Measure of Central Tendency
Module 5: Data Handling — Lesson 5.3: Mode, median, mean and using averages to interpret data.
Slide 1 / 10
Welcome 📊
Today we learn mode, median and mean
In this lesson, we shall acquire more knowledge on summarising data.
We shall learn how to find the mode and median in a distribution of not more than 10 numbers, calculate the mean, use the mean to interpret data, and solve problems involving mode, median and mean.
We shall learn how to find the mode and median in a distribution of not more than 10 numbers, calculate the mean, use the mean to interpret data, and solve problems involving mode, median and mean.
Today we learn mode, median and mean.
Mode is the number that appears most often.
Median is the middle number after arranging data.
Mean is the average.
🔢 📈 🧮
Mode, median and mean help us describe a group of numbers with one useful value.
This lesson includes interactive data entry, sorting, average calculation and interpretation activities.
Key Ideas
Three ways to summarise data
Mode
The number that appears most often.
Median
The middle number after arranging from smallest to largest.
Mean
The average: add all values and divide by how many values there are.
Which measure means the number that appears most often?
Mode
Median
Mean
Objective 5.3.1.1
Find the mode
The mode is the value that occurs most frequently.
A data set can have one mode, more than one mode, or no mode.
12
15
18
15
20
15
22
15 appears three times, so the mode is 15.
Find the mode: 8, 11, 8, 14, 16, 8, 20
Interactive Mode
Collect data and find the mode
Click a colour each time a learner chooses it.
The colour with the highest frequency is the mode.
Blue
0
Green
0
Red
0
Yellow
0
Objective 5.3.1.1
Find the median
Arrange the numbers from smallest to largest.
Find the middle number.
If there are two middle numbers, add them and divide by 2.
Data: 9, 4, 7, 12, 6
Arranged:
4 6 7 9 12The middle number is 7, so the median is 7.
Find the median: 13, 5, 9, 11, 7
Interactive Median
Arrange numbers and find the median
The numbers are: 18, 10, 14, 12, 16.
Type them from smallest to largest.
After arranging, what is the median?
Objective 5.3.1.2
Calculate the mean
Mean = sum of all values ÷ number of values
Add all the numbers.
Count how many numbers there are.
Divide the sum by the number of values.
Data: 6, 8, 10, 12
Sum: 6 + 8 + 10 + 12 = 36
Number of values: 4
Mean = 36 ÷ 4 = 9
Find the mean: 4, 8, 10, 14
Interactive Mean Calculator
Enter up to 10 numbers
Type up to 10 two-digit numbers.
Click Calculate Mean, Median and Mode.
Results will appear here.
Use this calculator to check your own small data set.
Objective 5.3.1.3
Use the mean to interpret data
The mean gives an average value.
It can help us compare groups or understand a typical value.
A value above the mean is higher than average. A value below the mean is lower than average.
| Learner | Books read |
|---|---|
| A | 4 |
| B | 6 |
| C | 8 |
| D | 10 |
Mean = (4 + 6 + 8 + 10) ÷ 4 = 7.
Learners who read more than 7 books are above average.
Learners who read more than 7 books are above average.
Which learners read above the mean?
A and B
C and D
All learners
Write one conclusion using the mean.
Objective 5.3.1.4
Solve problems involving mode, median and mean
Problem 1: Test marks are 20, 25, 20, 30, 35. What is the mode?
Problem 2: Ages are 9, 11, 12, 14, 15. What is the median?
Problem 3: Four learners scored 6, 8, 10 and 12 points. What is the mean score?
Final Quiz
Check your understanding
1. The mode is...
2. The median is...
3. The mean is found by...
4. Mode of 5, 7, 7, 9, 10 is...
5. Mean of 2, 4, 6, 8 is...
Great work! You have completed Lesson 5.3: Measure of Central Tendency.
Standard 6 Mathematics: Measure of Central Tendency
Module 5: Data Handling — Lesson 5.3: Mode, median, mean and using averages to interpret data.
Slide 1 / 10
Welcome 📊
Today we learn mode, median and mean
In this lesson, we shall acquire more knowledge on summarising data.
We shall learn how to find the mode and median in a distribution of not more than 10 numbers, calculate the mean, use the mean to interpret data, and solve problems involving mode, median and mean.
We shall learn how to find the mode and median in a distribution of not more than 10 numbers, calculate the mean, use the mean to interpret data, and solve problems involving mode, median and mean.
Today we learn mode, median and mean.
Mode is the number that appears most often.
Median is the middle number after arranging data.
Mean is the average.
🔢 📈 🧮
Mode, median and mean help us describe a group of numbers with one useful value.
This lesson includes interactive data entry, sorting, average calculation and interpretation activities.
Key Ideas
Three ways to summarise data
Mode
The number that appears most often.
Median
The middle number after arranging from smallest to largest.
Mean
The average: add all values and divide by how many values there are.
Which measure means the number that appears most often?
Mode
Median
Mean
Objective 5.3.1.1
Find the mode
The mode is the value that occurs most frequently.
A data set can have one mode, more than one mode, or no mode.
12
15
18
15
20
15
22
15 appears three times, so the mode is 15.
Find the mode: 8, 11, 8, 14, 16, 8, 20
Interactive Mode
Collect data and find the mode
Click a colour each time a learner chooses it.
The colour with the highest frequency is the mode.
Blue
0
Green
0
Red
0
Yellow
0
Objective 5.3.1.1
Find the median
Arrange the numbers from smallest to largest.
Find the middle number.
If there are two middle numbers, add them and divide by 2.
Data: 9, 4, 7, 12, 6
Arranged:
4 6 7 9 12The middle number is 7, so the median is 7.
Find the median: 13, 5, 9, 11, 7
Interactive Median
Arrange numbers and find the median
The numbers are: 18, 10, 14, 12, 16.
Type them from smallest to largest.
After arranging, what is the median?
Objective 5.3.1.2
Calculate the mean
Mean = sum of all values ÷ number of values
Add all the numbers.
Count how many numbers there are.
Divide the sum by the number of values.
Data: 6, 8, 10, 12
Sum: 6 + 8 + 10 + 12 = 36
Number of values: 4
Mean = 36 ÷ 4 = 9
Find the mean: 4, 8, 10, 14
Interactive Mean Calculator
Enter up to 10 numbers
Type up to 10 two-digit numbers.
Click Calculate Mean, Median and Mode.
Results will appear here.
Use this calculator to check your own small data set.
Objective 5.3.1.3
Use the mean to interpret data
The mean gives an average value.
It can help us compare groups or understand a typical value.
A value above the mean is higher than average. A value below the mean is lower than average.
| Learner | Books read |
|---|---|
| A | 4 |
| B | 6 |
| C | 8 |
| D | 10 |
Mean = (4 + 6 + 8 + 10) ÷ 4 = 7.
Learners who read more than 7 books are above average.
Learners who read more than 7 books are above average.
Which learners read above the mean?
A and B
C and D
All learners
Write one conclusion using the mean.
Objective 5.3.1.4
Solve problems involving mode, median and mean
Problem 1: Test marks are 20, 25, 20, 30, 35. What is the mode?
Problem 2: Ages are 9, 11, 12, 14, 15. What is the median?
Problem 3: Four learners scored 6, 8, 10 and 12 points. What is the mean score?
Final Quiz
Check your understanding
1. The mode is...
2. The median is...
3. The mean is found by...
4. Mode of 5, 7, 7, 9, 10 is...
5. Mean of 2, 4, 6, 8 is...
Great work! You have completed Lesson 5.3: Measure of Central Tendency.
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