Subjects statistiek

Frequentietabel Invullen C3F8E0

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1. **Stel het probleem vast:** We hebben een frequentietabel met waarden $x_i$ en frequenties $n_i$. We moeten de relatieve frequenties $f_i$, cumulatieve frequenties $c n_i$ en cumulatieve relatieve frequenties $c f_i$ invullen. 2. **Formules en regels:** - Totale frequentie $N = \sum n_i$ - Relatieve frequentie $f_i = \frac{n_i}{N}$ - Cumulatieve frequentie $c n_i = \sum_{j=1}^i n_j$ - Cumulatieve relatieve frequentie $c f_i = \sum_{j=1}^i f_j$ 3. **Bereken totale frequentie:** $$N = 5 + 8 + 10 + 25 + 9 + 3 = 60$$ 4. **Bereken relatieve frequenties $f_i$:** $$f_1 = \frac{5}{60} = 0.0833 \approx 0.08$$ $$f_2 = \frac{8}{60} = 0.1333 \approx 0.13$$ $$f_3 = \frac{10}{60} = 0.1667 \approx 0.17$$ $$f_4 = \frac{25}{60} = 0.4167 \approx 0.42$$ $$f_5 = \frac{9}{60} = 0.15$$ $$f_6 = \frac{3}{60} = 0.05$$ 5. **Bereken cumulatieve frequenties $c n_i$:** $$c n_1 = 5$$ $$c n_2 = 5 + 8 = 13$$ $$c n_3 = 13 + 10 = 23$$ $$c n_4 = 23 + 25 = 48$$ $$c n_5 = 48 + 9 = 57$$ $$c n_6 = 57 + 3 = 60$$ 6. **Bereken cumulatieve relatieve frequenties $c f_i$:** $$c f_1 = 0.08$$ $$c f_2 = 0.08 + 0.13 = 0.21$$ $$c f_3 = 0.21 + 0.17 = 0.38$$ $$c f_4 = 0.38 + 0.42 = 0.80$$ $$c f_5 = 0.80 + 0.15 = 0.95$$ $$c f_6 = 0.95 + 0.05 = 1.00$$ 7. **Conclusie:** De tabel is nu compleet met afgeronde waarden op 2 decimalen.