In order to calculate the number of sentences per paragraph, we need to calculate the weighted mean of the number of sentences using the number of paragraphs as a weight of each number of sentences:
[tex]\mu=\frac{\sum ^{}_{}(wx)}{\sum ^{}_{}(w)}_{}[/tex]
So we have:
[tex]\begin{gathered} \mu=\frac{0\cdot1+3\cdot2+20\cdot3+43\cdot4+36\cdot5+25\cdot6+10\cdot7+8\cdot8+2\cdot9+3\cdot10}{0+3+20+43+36+25+10+8+2+3} \\ \mu=\frac{0+6+60+172+180+150+70+64+18+30}{150} \\ \mu=\frac{750}{150} \\ \mu=5 \end{gathered}[/tex]
Therefore the mean number of sentences per paragraph is 5.
