Question 1: Given the frequency table below, calculate the mean score.

Answer: 68

Question 2: Calculate Σfx for the following data: Class interval | Frequency 0-10 | 4 11-20 | 7 21-30 | 3

Answer: 140

Question 3: In a survey, the number of books read by students is recorded as follows: Number of books | Frequency 0-2 | 5 3-5 | 8 6-8 | 2 What is the total number of students surveyed?

Answer: 15

Question 4: The table shows the number of hours students study per week: Hours | Frequency 0-5 | 6 6-10 | 9 11-15 | 4 Calculate Σfx.

Answer: 138

Question 5: What is the mean number of hours studied per week from the previous table?

Answer: 15.33

Question 6: A class took a test, and the scores are grouped as follows: Score | Frequency 40-49 | 3 50-59 | 7 60-69 | 8 70-79 | 2 Calculate the approximate mean score.

Answer: 60.2

Question 7: A survey about favorite fruits shows the following data: Fruit | Frequency Apple | 10 Banana | 15 Orange | 5 Calculate the mean number of votes per fruit.

Answer: 10

Question 8: In a table, the data shows: Category | Frequency A | 12 B | 8 C | 20 Calculate Σfx and the mean value.

Answer: 68, 3.4

Question 9: A factory records the number of items produced each day for a week: Day | Items Mon | 120 Tue | 130 Wed | 125 Thu | 135 Fri | 125 Calculate the mean number of items produced daily.

Answer: 127.5

Question 10: Identify and correct the mistake in this calculation: Σfx = 150, Σf = 5, so the mean = 150 / 5 = 40.

Answer: The mistake is in the calculation; the actual Σfx should be calculated from the data, not given. Also, verify if Σfx is correct based on the data provided.

Question 11: Construct a frequency table for data with class intervals 1-3, 4-6, 7-9, with frequencies 4, 6, and 10 respectively. Then, calculate the mean.

Answer: Calculate Σfx = (2*4) + (5*6) + (8*10) = 8 + 30 + 80 = 118; Σf = 4 + 6 + 10 = 20; mean = 118/20 = 5.9