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Central Tendency Measures

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Central Tendency Measures

Central Tendency Measures

Students analysing data with charts and graphs

📊 Part 1: Understanding Central Tendency

1. Match each measure of central tendency with its correct definition:
1. Mean
2. Median
3. Mode
A. The middle value when data is arranged in order
B. The value that appears most frequently
C. The sum of all values divided by the number of values
2. Circle the correct answer. Which measure of central tendency is most affected by outliers (extreme values)?

Mean

Median

Mode

🔢 Part 2: Calculating Central Tendency

3. The number of pets owned by students in Year 6A: 2, 1, 0, 3, 2, 1, 4, 2, 0, 1, 2, 5

a) Calculate the mean:

b) Find the median (remember to arrange the data in order first):

c) Identify the mode:

4. The daily temperatures (°C) in Melbourne for one week: 18, 22, 19, 25, 21, 20, 23

a) Mean temperature: _________ °C

b) Median temperature: _________ °C

c) Mode: _________

🏏 Part 3: Real-World Applications

5. A cricket player's scores in their last 8 matches: 45, 67, 23, 89, 56, 34, 78, 12

Calculate all three measures:

6. Which measure would be most useful for each situation? Circle your answer:

a) A shoe shop wants to know which size to stock most of:

Mean

Median

Mode

b) Finding the typical house price when some houses cost millions:

Mean

Median

Mode

c) Calculating the average test score for the class:

Mean

Median

Mode

🌡️ Part 4: Data Analysis Challenge

7. The Bureau of Meteorology recorded rainfall (mm) for Darwin in January: 89, 156, 203, 45, 178, 134, 267, 98, 145, 189

a) Arrange the data in ascending order:

b) Calculate the three measures of central tendency:

8. Check all the situations where understanding central tendency would be helpful:

Planning how much food to buy for a school canteen

Predicting election results from polling data

Setting fair prices for products

Understanding climate patterns

Analysing sports performance

💭 Part 5: Critical Thinking

9. A class of 25 students took a maths test. The scores were mostly between 70-85, but one student scored 15 and another scored 98. Explain which measure of central tendency would best represent the "typical" score and why:
10. Give an example from your own life where you might use mean, median, or mode to understand data better:
11. Create your own small data set (at least 6 numbers) and calculate all three measures:

My data set: ________________________________

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