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Central Tendency Measures

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Central Tendency Measures

Statistics and data analysis illustration

📊 Part 1: Understanding Central Tendency

1. Match each measure with its correct definition:
Mean
Median
Mode
The middle value when data is ordered
The most frequently occurring value
The sum of all values divided by the number of values
2. Which measure of central tendency is most affected by outliers?

Mean

Median

Mode

They are all equally affected

3. A data set can have more than one mode. What is this called?

Bimodal

Multimodal

No mode

Both A and B are correct

🔢 Part 2: Calculating Central Tendency

4. The heights (in cm) of students in a basketball team are: 165, 172, 168, 175, 170, 172, 180, 169, 172, 174

a) Calculate the mean height: _________ cm

b) Find the median height: _________ cm

c) Determine the mode: _________ cm

5. Test scores for a Year 7 class: 78, 85, 92, 78, 88, 95, 82, 78, 90, 87, 45, 89

a) Mean = _________ marks

b) Median = _________ marks

c) Mode = _________ marks

d) Which score appears to be an outlier? _________

e) Which measure (mean or median) better represents this data? Explain why.

🤔 Part 3: Real-World Applications

6. A mobile phone shop records the number of phones sold each day for two weeks: 12, 8, 15, 10, 9, 14, 18, 11, 13, 16, 9, 12, 10, 15

a) Calculate all three measures of central tendency:

Mean = _________ phones per day

Median = _________ phones per day

Mode = _________ phones per day

b) If you were the shop manager, which measure would you use to predict future daily sales? Justify your choice.

7. Choose the most appropriate measure of central tendency for each situation:

a) Finding the typical salary in a company where the CEO earns much more than other employees:

Mean

Median

Mode

b) Determining the most popular shoe size to stock in a store:

Mean

Median

Mode

8. Explain how artificial intelligence systems might use measures of central tendency to detect fraud in banking transactions.

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