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Data Organization and Frequency

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Data Organisation and Frequency

Data and frequency illustration

📊 Part 1: Understanding Data Organisation

1. What is the main purpose of organising raw data into frequency tables?

To make the data look more complicated

To summarise and understand patterns in the data

To increase the amount of data collected

To change the original data values

2. Which of these statistical terms means "the value that appears most frequently"?

Range

Frequency

Mode

Distribution

3. A frequency table shows how many students in Year 11 have different numbers of siblings:

Number of siblings: 0, 1, 2, 3, 4

Frequency: 8, 12, 15, 6, 2

What is the mode for this data?

0 siblings

1 sibling

2 siblings

15 students

📋 Part 2: Creating Frequency Tables

4. The following raw data shows the favourite sports of 20 Year 11 students:

Rugby, Football, Basketball, Rugby, Tennis, Football, Rugby, Basketball, Football, Rugby, Tennis, Rugby, Football, Basketball, Rugby, Tennis, Football, Rugby, Basketball, Football

Complete the frequency table below:

Sport                      Tally                    Frequency

Rugby                      _________________          _______

Football                    _________________          _______

Basketball                 _________________          _______

Tennis                      _________________          _______

Total:                                                    _______

5. Based on your frequency table above, what can you conclude about the data?
6. The daily temperatures (°C) in Auckland for two weeks were recorded as:

18, 22, 19, 21, 20, 18, 23, 19, 20, 22, 18, 21, 19, 20

Organise this data into a frequency table:

Temperature (°C)                Frequency

18                                          _______

19                                          _______

20                                          _______

21                                          _______

22                                          _______

23                                          _______

🎯 Part 3: Extension Challenge

7. Extension Activity: A survey asked 50 students how many hours they spent on social media per day. The results were grouped as follows:

0-1 hours: 8 students     2-3 hours: 15 students     4-5 hours: 18 students     6+ hours: 9 students

Calculate the relative frequency (percentage) for each group:

0-1 hours: _______ %

2-3 hours: _______ %

4-5 hours: _______ %

6+ hours: _______ %

8. Explain what the frequency distribution from question 7 tells us about Year 11 students' social media usage patterns:
9. Real-World Application: Describe a situation where you might need to organise data into frequency tables in your daily life or future career:

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