1. Stating the problem: We are given a frequency table of words per line and number of lines, and we need to find: (i) Total number of lines on the page. (ii) Number of lines with 14 words. (iii) The modal number of words per line. (iv) The mean number of words per line. 2. Given data: Words per line: 10, 11, 12, 13, 14, 15 Number of lines: 13, 9, 14, 7, 15 Note: The user gave 6 word counts but only 5 line counts; assuming the last word count 15 corresponds to 15 lines. 3. (i) Total lines = sum of all lines: $$13 + 9 + 14 + 7 + 15 = 58$$ 4. (ii) Number of lines with 14 words = 15 (from the last pair) 5. (iii) Mode is the word count with the highest frequency (number of lines): Frequencies: 13 (10 words), 9 (11 words), 14 (12 words), 7 (13 words), 15 (14 words) Highest frequency is 15 lines with 14 words, so mode = 14 words 6. (iv) Mean number of words per line: Calculate total words = sum of (words per line * number of lines): $$10 \times 13 + 11 \times 9 + 12 \times 14 + 13 \times 7 + 14 \times 15 = 130 + 99 + 168 + 91 + 210 = 698$$ Mean = total words / total lines = $$\frac{698}{58}$$ Show cancellation: $$\frac{\cancel{698}}{\cancel{58}}$$ (no common factor, so fraction remains) Calculate decimal: $$\approx 12.03$$ words per line Final answers: (i) Total lines = 58 (ii) Lines with 14 words = 15 (iii) Mode = 14 words (iv) Mean = 12.03 words per line