A. Data Handling & Collection
- Define the term “statistics” in your own words.
- What is the difference between primary and secondary data?
- List three methods used to collect data in statistics.
- A survey was conducted in a school to find students' favorite sport. What type of data is this: qualitative or quantitative?
- State one advantage and one disadvantage of using a questionnaire to collect data.
- The following are ages (in years) of 10 students: 14, 15, 15, 16, 14, 15, 17, 16, 14, 15.
Present this data using a frequency table.
- What type of graph is best for showing the distribution of marks in a test?
- What is a histogram, and how is it different from a bar chart?
- Draw a pie chart to represent the following data:
- Math: 30%
- Science: 20%
- English: 25%
- History: 25%
- Explain why a line graph is useful when showing change over time.
C. Measures of Central Tendency
- Find the mean of the following numbers: 5, 10, 15, 20, 25.
- What is the median of these values: 3, 8, 2, 7, 6?
- Determine the mode of the set: 4, 6, 4, 7, 4, 6, 5.
- Explain when it is more appropriate to use the median instead of the mean.
- Calculate the mean from the frequency table:
Value: 1 | 2 | 3
Freq: 3 | 4 | 3
D. Measures of Dispersion and Probability
- Define the term “range” in statistics and find the range of 9, 12, 15, 18, 21.
- If a die is rolled, what is the probability of getting an even number?
- A box contains 4 red, 3 green, and 5 blue balls. One is picked at random. What is the probability it is not green?
- Explain what is meant by the term “probability” and give one real-life example.
- The heights (in cm) of five students are: 150, 160, 170, 160, 160. Find the mode and mean height.
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