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Year 7 Statistics Worksheets

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Year 7 Statistics - Worksheet 1: Statistical Investigation

Statistics investigation illustration

📊 Part 1: Planning Your Investigation

1. Choose a statistical question to investigate. Your question should involve collecting numerical data from your classmates or school community.

Examples: "How many hours do Year 7 students spend on homework each week?" or "What is the height of students in our class?"

My statistical question:

2. What type of data will you collect?

Discrete numerical data (whole numbers that can be counted)

Continuous numerical data (measurements that can be any value)

3. How will you collect your data? Describe your method and who you will survey.
4. How many people do you plan to survey? Why is this a good sample size?

📈 Part 2: Data Collection and Display

5. Record your collected data in the space below. Organise it clearly in a table.
6. Create a suitable plot to display your data (dot plot, column graph, or histogram). Use the space below.
7. What does your graph show about the data? Describe any patterns you notice.

📝 Part 3: Brief Report

8. Write a brief report (3-4 sentences) summarising your investigation. Include your question, what you found, and one conclusion you can make from your data.

Year 7 Statistics - Worksheet 2: Data Interpretation

Data analysis illustration

📊 Part 1: Creating Data Displays

Data Set: Heights of Year 7 students (in cm): 152, 148, 165, 159, 143, 167, 156, 151, 162, 158, 149, 164, 160, 155, 153, 161, 147, 166, 154, 157

1. Create a stem-and-leaf plot for this data in the space below.
2. Create a dot plot for the same data.
3. Describe the shape of the distribution. Is it symmetric, skewed left, or skewed right?

🔢 Part 2: Statistical Measures

4. Calculate the mean height. Show your working.
5. Find the median height.

Median = _______ cm

6. Identify the mode(s) if any exist.

Mode = _______ cm

7. Calculate the range of the data.

Range = _______ cm

8. Are there any outliers in this data set? Explain your reasoning.

Year 7 Statistics - Worksheet 3: Measures of Centre

Central tendency illustration

📊 Part 1: Symmetric Data Set

Data Set A - Test scores: 65, 70, 72, 75, 75, 78, 80, 80, 82, 85, 88

1. Calculate the mean, median, and mode for Data Set A.

Mean = _______

Median = _______

Mode = _______

2. Which measure of central tendency best represents this data set?

Mean

Median

Mode

3. Justify your choice from question 2.

📈 Part 2: Skewed Data Set

Data Set B - Weekly pocket money ($): 5, 8, 10, 10, 12, 15, 15, 15, 18, 20, 75

4. Calculate the mean, median, and mode for Data Set B.

Mean = $______

Median = $______

Mode = $______

5. Which measure of central tendency best represents this data set?

Mean

Median

Mode

6. Explain why the other measures are not suitable for this data set.
7. How does the presence of the outlier ($75) affect each measure of central tendency?

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