1. **Problem statement:** We are given a stem-and-leaf plot showing the number of letters in 30 sentences. We need to find: (i) The median number of letters per sentence. (ii) The mean number of letters per sentence, rounded to one decimal place. 2. **Extract the data:** From the stem-and-leaf plot, the numbers are: 0|8 8 9 → 8, 8, 9 1|1 2 3 4 4 8 9 → 11, 12, 13, 14, 14, 18, 19 2|0 3 5 5 7 7 8 → 20, 23, 25, 25, 27, 27, 28 3|2 2 3 3 6 6 8 8 → 32, 32, 33, 33, 36, 36, 38, 38 4|1 2 3 3 5 → 41, 42, 43, 43, 45 3. **Find the median:** - There are 30 data points. - Median position is at the average of the 15th and 16th values when data is sorted. Sorted data: 8,8,9,11,12,13,14,14,18,19,20,23,25,25,27,27,28,32,32,33,33,36,36,38,38,41,42,43,43,45 The 15th value is 27 and the 16th value is 27. Median = $$\frac{27 + 27}{2} = 27$$ 4. **Calculate the mean:** Sum all values: $$8+8+9+11+12+13+14+14+18+19+20+23+25+25+27+27+28+32+32+33+33+36+36+38+38+41+42+43+43+45$$ Calculate sum step-by-step: $$8+8=16$$ $$16+9=25$$ $$25+11=36$$ $$36+12=48$$ $$48+13=61$$ $$61+14=75$$ $$75+14=89$$ $$89+18=107$$ $$107+19=126$$ $$126+20=146$$ $$146+23=169$$ $$169+25=194$$ $$194+25=219$$ $$219+27=246$$ $$246+27=273$$ $$273+28=301$$ $$301+32=333$$ $$333+32=365$$ $$365+33=398$$ $$398+33=431$$ $$431+36=467$$ $$467+36=503$$ $$503+38=541$$ $$541+38=579$$ $$579+41=620$$ $$620+42=662$$ $$662+43=705$$ $$705+43=748$$ $$748+45=793$$ Mean = $$\frac{793}{30} = 26.4333...$$ Rounded to one decimal place: 26.4 **Final answers:** (i) Median = 27 (ii) Mean = 26.4