1. **Problem statement:** Find the median number of books read, the median type of book read, and determine if it is possible to calculate the modal number and type of books read. 2. **Median number of books read:** The data for number of books read and their frequencies are: - 0 books: 20 - 1 book: 5 - 2 books: 12 - 3 books: 22 - 4 books: 30 Total frequency = $20 + 5 + 12 + 22 + 30 = 89$ The median position is at the $\frac{89 + 1}{2} = 45$th value when data is ordered. Cumulative frequencies: - Up to 0 books: 20 - Up to 1 book: $20 + 5 = 25$ - Up to 2 books: $25 + 12 = 37$ - Up to 3 books: $37 + 22 = 59$ The 45th value lies between 38 and 59, which corresponds to 3 books. **Median number of books read = 3** 3. **Median type of book read:** Types and frequencies: - Poetry: 45 - Prose: 65 - Non-fiction: 50 - Other: 45 Total frequency = $45 + 65 + 50 + 45 = 205$ Median position = $\frac{205 + 1}{2} = 103$rd value. Cumulative frequencies: - Poetry: 45 - Poetry + Prose: $45 + 65 = 110$ The 103rd value lies between 46 and 110, which corresponds to Prose. **Median type of book read = Prose** 4. **Modal number and type of books read:** - Modal number of books read is the number with highest frequency: 4 books with frequency 30. - Modal type of book read is the type with highest frequency: Prose with frequency 65. **It is possible to calculate both modal number and modal type of books read.** 5. **Summary sentence:** The median number of books read is 3, the median type of book read is Prose, and it is possible to calculate the modal number (4 books) and modal type (Prose) because the frequencies clearly identify the most common values.