Section 1: Central Tendency (Mean, Median, Mode)
- Given the dataset 10, 20, 30, 40, 50, calculate the mean and explain what the mean represents.
- Find the median of the dataset 5, 8, 12, 15, 20 and explain why it is the middle value.
- Determine the mode of the dataset 2, 4, 4, 5, 7, 7, 7, 9 and explain its significance.
- A student scored 60, 70, 80, 90, and 100 in five subjects. Calculate the mean score and interpret it.
- For the dataset 3, 7, 9, 15, 18, calculate the median and explain the steps clearly.
- In a dataset where all values are identical, explain what the mean, median, and mode would be.
- Compare mean and median for the dataset 2, 3, 4, 100 and explain which better represents the data.
- A dataset has values 5, 10, 10, 15, 20. Identify mean, median, and mode and compare them.
Section 2: Data Spread (Range)
- Find the range of the dataset 12, 15, 18, 21, 25 and explain what range indicates.
- Compare the range of datasets A: 5, 10, 15 and B: 5, 15, 25 and interpret the difference.
- A company tracks daily sales: 100, 200, 300, 400, 500. Calculate the range and explain variability.
- If the maximum value is 80 and the minimum value is 20, calculate the range and explain its meaning.
Section 3: Variance (Understanding Spread)
- For the dataset 2, 4, 6, 8, calculate the mean and then compute variance step by step.
- Explain why variance is always non-negative using a simple dataset example.
- Compare variance of datasets A: 10, 10, 10 and B: 5, 10, 15 and explain the difference.