Section 1: Central Tendency (Mean, Median, Mode)

  1. Given the dataset 10, 20, 30, 40, 50, calculate the mean and explain what the mean represents.
  2. Find the median of the dataset 5, 8, 12, 15, 20 and explain why it is the middle value.
  3. Determine the mode of the dataset 2, 4, 4, 5, 7, 7, 7, 9 and explain its significance.
  4. A student scored 60, 70, 80, 90, and 100 in five subjects. Calculate the mean score and interpret it.
  5. For the dataset 3, 7, 9, 15, 18, calculate the median and explain the steps clearly.
  6. In a dataset where all values are identical, explain what the mean, median, and mode would be.
  7. Compare mean and median for the dataset 2, 3, 4, 100 and explain which better represents the data.
  8. A dataset has values 5, 10, 10, 15, 20. Identify mean, median, and mode and compare them.

Section 2: Data Spread (Range)

  1. Find the range of the dataset 12, 15, 18, 21, 25 and explain what range indicates.
  2. Compare the range of datasets A: 5, 10, 15 and B: 5, 15, 25 and interpret the difference.
  3. A company tracks daily sales: 100, 200, 300, 400, 500. Calculate the range and explain variability.
  4. If the maximum value is 80 and the minimum value is 20, calculate the range and explain its meaning.

Section 3: Variance (Understanding Spread)

  1. For the dataset 2, 4, 6, 8, calculate the mean and then compute variance step by step.
  2. Explain why variance is always non-negative using a simple dataset example.
  3. Compare variance of datasets A: 10, 10, 10 and B: 5, 10, 15 and explain the difference.