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Averages Station Activity Worksheet

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Averages Station Activity Worksheet

Mathematical averages illustration

📊 Station 1: Mode

The mode is the value that appears most frequently in a data set.

1. Find the mode of this data set: 3, 7, 5, 7, 9, 2, 7

Mode = ________

2. What is the mode of: 12, 15, 18, 20, 15, 22, 15?

15

18

20

No mode

3. This data set has no mode: 4, 8, 12, 16, 20. Explain why:

🔢 Station 2: Median

The median is the middle value when data is arranged in order from smallest to largest.

4. Find the median of: 8, 3, 11, 6, 9

First, arrange in order: ____, ____, ____, ____, ____

Median = ________

5. Calculate the median of: 14, 7, 22, 10

Arranged in order: ____, ____, ____, ____

Median = ________ (remember: with even numbers, find the mean of the two middle values)

6. The median temperature this week was 18°C. What does this tell us?

Half the days were warmer than 18°C

18°C was the most common temperature

The average temperature was 18°C

➕ Station 3: Mean

The mean is found by adding all values and dividing by the number of values.

7. Calculate the mean of: 6, 8, 4, 10, 7

Step 1: Add all values: 6 + 8 + 4 + 10 + 7 = ____

Step 2: Count how many values: ____

Step 3: Divide: ____ ÷ ____ = ____

Mean = ____

8. A football team scored these goals in 6 matches: 2, 0, 3, 1, 4, 2. What was their mean score per match?

📏 Station 4: Range

The range is the difference between the highest and lowest values.

9. Find the range of: 25, 18, 31, 12, 28

Highest value = ____ Lowest value = ____

Range = ____ - ____ = ____

10. The temperatures in Manchester last week were: 8°C, 12°C, 6°C, 15°C, 11°C, 9°C, 13°C

What was the temperature range? ________

What does this tell us about the weather that week?

11. Which data set has the largest range?

Set A: 20, 25, 30, 35

Set B: 10, 15, 40, 45

Set C: 5, 10, 15, 20, 25

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