1. **Problem 1: Calculate Mean, Median, and Mode** Given the data set: 3, 7, 7, 2, 9, 10, 3, 7, find the mean, median, and mode. 2. **Problem 2: Analyze Data Distribution** Data: 12, 15, 12, 18, 20, 15, 15, 22. Calculate the measures of central tendency and conclude which measure best represents the data. 3. **Problem 3: Compare Two Data Sets** Data Set A: 5, 8, 12, 15, 20 Data Set B: 7, 7, 7, 7, 7 Find the mean, median, and mode for both sets and explain which set is more consistent. 4. **Problem 4: Effect of Outliers** Data: 4, 5, 6, 7, 100 Calculate the mean and median and discuss how the outlier affects these measures. 5. **Problem 5: Grouped Data Approximation** Given ungrouped data: 10, 12, 15, 15, 18, 20, 22, estimate the mean and median and explain the process. 6. **Problem 6: Mode Interpretation** Data: 3, 3, 4, 5, 5, 5, 6, 7 Find the mode and explain what it tells about the data. 7. **Problem 7: Median in Odd and Even Data Sets** Data Set 1: 1, 3, 5, 7, 9 Data Set 2: 2, 4, 6, 8 Calculate the median for both and explain the difference. 8. **Problem 8: Central Tendency and Decision Making** A company has sales data: 100, 150, 200, 250, 300. Calculate mean and median and decide which measure should be used to forecast future sales. 9. **Problem 9: Skewness and Central Tendency** Data: 2, 3, 5, 7, 50 Calculate mean and median and discuss the skewness of the data. 10. **Problem 10: Multiple Modes** Data: 4, 4, 5, 5, 6, 7 Find the modes and explain what multiple modes indicate. 11. **Problem 11: Central Tendency in Real Life** Heights of students: 150, 152, 153, 155, 160, 160, 165 Calculate mean, median, and mode and interpret the results. 12. **Problem 12: Impact of Adding Data** Original data: 10, 12, 14, 16 Add 100 to the data set and calculate new mean and median. Discuss the impact. 13. **Problem 13: Central Tendency and Data Spread** Data: 20, 22, 24, 26, 28 Calculate mean and median and explain what these measures say about data spread. 14. **Problem 14: Choosing the Best Measure** Data: 1, 2, 2, 3, 100 Calculate mean, median, and mode and decide which measure best represents the data. 15. **Problem 15: Central Tendency and Data Interpretation** Data: 5, 7, 7, 8, 10, 10, 10, 12 Calculate mean, median, and mode and draw conclusions about the data distribution. Each problem requires calculating mean, median, and/or mode and interpreting the results to draw conclusions about the data set.