بِسْـــمِ اللَّهِ الرَّحْمَــنِ الرَّحِيْمِ
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Nomor 1:
p = 14
q = 13
- Menentukan nilai r
[tex] \rm r = \frac{pq}{p + 2q} \\ \\ \rm r = \frac{14 \times 13}{14 + 2(13)} \\ \\ \rm r = \frac{182}{14 + 26} \\ \\ \rm r = \frac{182}{40} \\ \\ \rm r = 4.55[/tex]
- Nilai (p-q)/r
[tex] \rm = \frac{14 - 13}{4.55} \\ \\ \rm =\frac{1}{4.55} \\ \\\rm = 0.2[/tex]
[tex] \\ [/tex]
Nomor 3:
f(x) = 7 - 2x
5 = 7 - 2x
2x = 7 - 5
2x = 2
x = 2/2
x = 1
[tex] \\ [/tex]
Nomor 4:
Urutan data: 50, 50, 60, 60, 60, 70, 70, 70, 70, 75, 75, 75, 80, 80, 90
Banyak data (n): 15
- Kuartil atas (Q3)
[tex] \rm Q_3 = X_{\frac{3(15 + 1)}{4}}[/tex]
[tex] \rm Q_3 = X_{\frac{3 \times \cancel{16} \: ^{4} }{ \not4}}[/tex]
[tex] \rm Q_3 = X_{12}[/tex]
[tex] \rm Q_3 = 80[/tex]
- Kuartil tengah (Q2)
[tex] \rm Q_2 = X_{\frac{2(15 + 1)}{4}}[/tex]
[tex] \rm Q_2 = X_{\frac{2 \times \cancel{16} \: ^{4} }{ \not4}}[/tex]
[tex] \rm Q_2 = X_8[/tex]
[tex] \rm Q_2 = 70[/tex]
- Kuartil bawah (Q1)
[tex] \rm Q_1 = X_{\frac{1(15 + 1)}{4}}[/tex]
[tex] \rm Q_1 = X_{\frac{1 \times \cancel{16} \: ^{4} }{ \not4}}[/tex]
[tex] \rm Q_1 = X_4[/tex]
[tex] \rm Q_1 =60[/tex]
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وَاللَّهُ عَالَمُ بِاالصَّوَافَ
[tex] \\ [/tex]
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