рFrequency103851121446695157Table 2: Frequency distribution for pa) Calculate the mean value for p.b) Calculate the median value for p.c) Find out the mode value for p.
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a)
[tex]\begin{gathered} \bar{x}=\frac{\Sigma xifi}{N} \\ \bar{x}=\frac{10\cdot3+8\cdot5+11\cdot2+14\cdot4+6\cdot6+9\cdot5+15\cdot7}{32} \\ \bar{x}=\frac{334}{32}=10.4375 \end{gathered}[/tex]b)
[tex]Me=Li+\frac{\frac{N}{2}-Fi-1}{fi}*ai[/tex]so:
[tex]\begin{gathered} \frac{N}{2}=16 \\ Li=6 \\ Fi-1=14 \\ fi=6 \\ ai=9 \end{gathered}[/tex][tex]\begin{gathered} Me=6+\frac{16-14}{6}\cdot9 \\ Me=9 \end{gathered}[/tex](c)
[tex]\begin{gathered} Mo=Li+\frac{fi-fi-1}{(fi-fi-1)+(fi-fi+1)}\cdot ai \\ Mo=6+\frac{6-4}{6-4+6-5}\cdot9 \\ Mo=12 \end{gathered}[/tex]