Question 1: Given the frequency table below, find the median position and identify the median value. | Score | Frequency | |--------|------------| | 1 | 5 | | 2 | 8 | | 3 | 12 | | 4 | 10 | | 5 | 5 |

Answer: Position: 20, Median Score: 3

Question 2: Construct a frequency table for data: 4, 2, 5, 3, 4, 2, 5, 4, 3, 2. Then find the median.

Answer: Median = 3

Question 3: A class's test scores are summarized in this frequency table: | Score | Frequency | |--------|------------| | 50 | 4 | | 60 | 7 | | 70 | 10 | | 80 | 6 | | 90 | 3 | Calculate the median score.

Answer: Median score: 70

Question 4: In a data set with the following frequency distribution, determine the middle position and the median value: | Category | Frequency | |-----------|------------| | A | 3 | | B | 7 | | C | 9 | | D | 5 |

Answer: Position: 12, Median Category: B

Question 5: A company records the number of hours employees work per week in the table: | Hours | Frequency | |--------|------------| | 20 | 4 | | 30 | 9 | | 40 | 12 | | 50 | 5 | Find the median number of hours worked.

Answer: Median hours: 40

Question 6: A frequency table shows the ages of students in a club: | Age | Frequency | |-----|------------| | 12 | 6 | | 13 | 14 | | 14 | 10 | | 15 | 8 | Calculate the median age.

Answer: Median age: 14

Question 7: A survey records the number of books read by students: | Number of Books | Frequency | |------------------|------------| | 0 | 3 | | 1 | 7 | | 2 | 12 | | 3 | 8 | | Find the median number of books read.

Answer: Median: 2 books

Question 8: A teacher records the number of absences for students in a week: | Absences | Frequency | |------------|------------| | 0 | 5 | | 1 | 9 | | 2 | 15 | | 3 | 7 | | Determine the median number of absences.

Answer: Median absences: 2

Question 9: A frequency table shows weekly sales figures (in units): | Units | Frequency | |--------|------------| | 50 | 4 | | 60 | 8 | | 70 | 12 | | 80 | 6 | | 90 | 4 | Find the median weekly sales.

Answer: Median sales: 70 units

Question 10: A frequency table for survey responses: | Rating | Frequency | |---------|------------| | 1 | 2 | | 2 | 5 | | 3 | 9 | | 4 | 4 | | 5 | 2 | Calculate the median rating.

Answer: Median rating: 3

Question 11: Error analysis: A student calculated the median from a frequency table and obtained a result that does not match the middle value. The student concluded the median is the highest score in the table. Identify and explain the mistake.

Answer: Mistake: The student confused the mode or highest score with the median. The median is the middle value, not necessarily the highest. Correct approach: find the position and determine the middle value based on cumulative frequencies.