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Question Number 152903 by DELETED last updated on 03/Sep/21

Answered by DELETED last updated on 03/Sep/21

$$1.\mathrm{a}).\stackrel{-}{\mathrm{x}}=\frac{\mathrm{\Sigma }{\mathrm{f}}_{\mathrm{i}}.{\mathrm{x}}_{\mathrm{i}}}{\mathrm{\Sigma }{\mathrm{f}}_{\mathrm{i}}}$$$$=\frac{2\times 14,5+9\times 18,5+12\times 22,5+9\times 26,5+5\times 30,5+3\times 34,5}{2+9+12+9+5+3}$$$$=\frac{29+166,5+270+238,5+152,5+103,5}{40}$$$$=\frac{195,5+508,5+256}{40}=\frac{960}{40}=24$$$$1.\mathrm{b}).\mathrm{median}={\mathrm{l}}_{\mathrm{i}}+\frac{(\frac{\mathrm{N}}{2}-<\mathrm{\Sigma }{\mathrm{f}}_{\mathrm{i}})}{{\mathrm{f}}_{\mathrm{i}}}\times \mathrm{C}$$$$\mathrm{med}=20,5+\frac{(20-11)}{12}\times 4$$$$=20,5+3=23,5//$$$$$$

Answered by DELETED last updated on 03/Sep/21

$$2).\mathrm{Modus}={\mathrm{L}}_{\mathrm{m}}+\frac{{\delta }_1}{{\delta }_1+{\delta }_2}\times \mathrm{c}$$$$=43,5+\frac{(20-12)}{(20-12)+(20-15)}\times 5$$$$=43,5+\frac{8}{8+5}\times 5$$$$=43,5+\frac{40}{13}=43,5+3,08=46,58//$$

Answered by DELETED last updated on 03/Sep/21

$$3).{\mathrm{Q}}_2=43,5+\left(\frac{40/2-16}{12}\right)\times 5$$$$=43,5+\frac{4\times 5}{12}$$$$=43,5+\frac{5}{3}=43,5+1,67$$$$=45,17//$$$$\mathrm{Mod}=44,5+\frac{(12-8)}{(12-8)+(12-6)}\times 5$$$$=44,5+\frac{4}{4+6}\times 5$$$$=44,5+2=46,5//$$

Answered by DELETED last updated on 03/Sep/21

$$1\mathrm{a})\stackrel{-}{\mathrm{x}}=\frac{\mathrm{\Sigma }{\mathrm{x}}_{\mathrm{i}}.{\mathrm{f}}_{\mathrm{i}}}{\mathrm{\Sigma }{\mathrm{f}}_{\mathrm{i}}}$$$$=\frac{15\times 2+19\times 9+23\times 12+27\times 9+31\times 5+35\times 2}{40}$$$$=\frac{960}{40}=24//$$

Answered by DELETED last updated on 03/Sep/21

$$\mathrm{Soal}\mathrm{no}2$$$$\mathrm{Rumus}\mathrm{modus}:$$$${\mathrm{M}}_{\mathrm{o}}={\mathrm{L}}_{\mathrm{i}}+\left(\frac{{\delta }_1}{{\delta }_1+{\delta }_2}\right)\times \mathrm{C}$$$$=(44-0.5)+\left(\frac{20-12}{(20-12)+(20-15)}\right)\times 5$$$$=43,5+\left(\frac{8}{8+5}\right)\times 5$$$$=43,5+\frac{40}{13}=43,5+3,08$$$$=46,58//$$

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