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Year 7 Statistics Practice

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Year 7 Statistics Practice

Statistics and data analysis illustration

📊 Part 1: Measures of Central Tendency

1. The heights (in cm) of 9 students are: 155, 162, 158, 160, 155, 164, 159, 161, 156

Calculate the following:

a) Range: _______

b) Mode: _______

c) Median: _______

d) Mean: _______

2. A cricket team scored the following runs in 8 matches: 245, 189, 267, 201, 245, 223, 198, 212

Which measure of central tendency would best represent the team's typical score? Explain your reasoning.

3. Multiple Choice: A data set has values 12, 15, 18, 15, 20, 15, 22. What is the mode?

12

15

17

22

🌿 Part 2: Stem-and-Leaf Plots

4. The test scores (out of 100) for a Year 7 class are:

62, 74, 68, 85, 79, 91, 73, 66, 82, 77, 69, 88, 75, 84, 71

Complete the stem-and-leaf plot below:

5. Using the stem-and-leaf plot from Question 4:

a) What is the median score? _______

b) How many students scored above 80? _______

c) Describe the distribution of the scores:

6. True or False: In a stem-and-leaf plot, the 'leaves' represent the tens digits.

True

False

🔍 Part 3: Statistical Investigation

7. You want to investigate "What is the favourite sport of Year 7 students at our school?"

a) What type of data will you collect? ________________

b) Suggest an appropriate sample size: ________________

c) How will you ensure your sample is representative?

8. After collecting data about favourite colours from 30 students, you find:

Blue: 12 students, Red: 8 students, Green: 6 students, Yellow: 4 students

a) What percentage of students chose blue? _______

b) Write one conclusion you can draw from this data:

9. Which of these questions would be suitable for a statistical investigation? (Select all that apply)

How many pets do Year 7 students have?

What is 15 × 8?

How much time do students spend on homework each night?

What is the capital of Australia?

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