Question 1: Calculate the mean number of books read per month given the following data: 5 students read 2, 3 students read 4, and 4 students read 6 books.

Answer: 4

Question 2: The table shows the number of hours spent on homework each week: 3 students spend 2 hours, 5 students spend 3 hours, and 4 students spend 5 hours. Calculate the average hours spent on homework.

Answer: 3.4

Question 3: A class has the following scores: 50, 60, 70, 80, 90. The frequency of each score is 1, 2, 3, 2, 1 respectively. Calculate the mean score.

Answer: 72

Question 4: A survey recorded the number of pets owned by students: 0 pets (4 students), 1 pet (6 students), 2 pets (3 students). Calculate the mean number of pets per student.

Answer: 0.9

Question 5: Construct a frequency table for the following data: test scores of 10 students: 55, 60, 65, 70, 75, 80, 85, 90, 95, 100. Then, find the mean.

Answer: 72.5

Question 6: A table shows the ages of people in a community: 20, 25, 30, 35, 40, 45. Each age has a frequency of 2. Find the mean age.

Answer: 32.5

Question 7: A table indicates the number of cars sold per day: 1 car (3 days), 2 cars (5 days), 3 cars (2 days). Calculate the mean number of cars sold per day.

Answer: 2

Question 8: A company records the number of hours employees work weekly: 20, 25, 30, 35, 40. The frequencies are 4, 6, 3, 2, 1 respectively. Find the mean hours worked.

Answer: 28.5

Question 9: The table shows the number of goals scored by players in a match: 0, 1, 2, 3, 4. The frequencies are 2, 5, 8, 3, 2. Calculate the mean goals scored.

Answer: 1.8

Question 10: Error analysis: A student calculates the mean from a table but forgets to multiply the scores by their frequencies. What mistake have they made and how can they correct it?

Answer: They did not calculate Σfx correctly. To correct it, they need to multiply each score by its frequency and then divide the total sum by Σf.

Question 11: Challenge: The frequency table for test scores shows: score 50 (f=2), 60 (f=3), 70 (f=5), 80 (f=4), 90 (f=1). If 15 more students scored 70, how does this affect the mean?

Answer: Adding more students with score 70 increases the total Σfx and Σf, which will slightly increase the mean. Precise change requires recalculating with updated frequencies.