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Averages Station Activities

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Averages Station Activities

Students working with data cards and calculators

📊 Station 1: Mode Practice

1. Find the mode (most frequent value) for each data set:

a) 3, 7, 5, 7, 2, 7, 4 → Mode = _______

b) 12, 15, 12, 18, 15, 20 → Mode = _______

c) 8, 6, 9, 7, 5, 8, 6 → Mode = _______

2. Which data set has NO mode?

2, 4, 6, 8, 10

5, 5, 7, 7, 9

3, 3, 3, 4, 5

3. Real-life context: A shoe shop recorded these sizes sold in one day:

Size 6, Size 7, Size 6, Size 8, Size 6, Size 9, Size 7

Which shoe size should they order more of? _______

📈 Station 2: Median & Mean Practice

4. Find the median (middle value when ordered) for:

a) 4, 9, 2, 7, 5 → Ordered: _____ → Median = _____

b) 12, 8, 15, 10 → Ordered: _____ → Median = _____

5. Calculate the mean (total ÷ count) for:

Data set: 6, 8, 4, 10, 7

Total = _____ ÷ _____ = Mean of _____

6. A cricket team scored these runs in 6 matches:

45, 52, 38, 45, 60, 48

What was their mean score? Show your working:

📏 Station 3: Range & Mixed Practice

7. Calculate the range (highest - lowest) for each set:

a) Daily temperatures: 18°C, 22°C, 15°C, 25°C, 20°C → Range = _____°C

b) Test scores: 65%, 78%, 82%, 59%, 74% → Range = _____%

8. Complete the table for this data set: 3, 8, 5, 8, 2, 9, 5

Mode: _______

Median: _______

Mean: _______

Range: _______

9. A weather station recorded these rainfall amounts (mm) over one week:

12, 0, 5, 8, 0, 15, 6

Which average would best represent typical daily rainfall? Explain your choice:

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