Soalan 1:
Hitung julat dan julat antara kuartil bagi setiap set data berikut.
(a) 8, 25, 16, 11, 24, 18, 22
(b) 27, 33, 45, 18, 62, 50
(c) 3.4, 2.8, 2.7, 4.3, 3.8, 3.2, 3.0, 2.9
(d) 12, 19, 17, 18, 15, 12, 17, 20, 22, 30, 32, 16, 18
Penyelesaian:
(a)
$$ \begin{aligned} & 8,11,16,18,22,24,25 \\ & \text { Julat }=25-8 \\ & =17 \end{aligned} $$
$$ \begin{aligned} \text { Julat antara kuartil } & =Q_3-Q_1 \\ & =24-11 \\ & =13 \end{aligned} $$
(b)
$$ \begin{aligned} &\begin{aligned} & \text { 18, 27, 33, 45, 50, } 62 \\ & \begin{aligned} \text { Julat } & =62-18 \\ & =44 \end{aligned} \end{aligned}\\ &\begin{aligned} \text { Julat antara kuartil } & =Q_3-Q_1 \\ & =50-27 \\ & =23 \end{aligned} \end{aligned} $$
(c)
$$ \begin{aligned} & \text { 2.7, 2.8, 2.9, 3.0, 3.2, 3.4, 3.8, } 4.3 \\ & \text { Julat }=4.3-2.7 \\ & \\ & =1.6 \end{aligned} $$
$$ \begin{aligned} \text { Julat antara kuartil } & =\frac{3.4+3.8}{2}-\frac{2.8+2.9}{2} \\ & =3.6-2.85 \\ & =0.75 \end{aligned} $$
(d)
$$ \begin{aligned} & 12,12,15,16,17,17,18,18,19,20,22,30,32 \\ & \text { Julat }=32-12 \\ & \quad=20 \end{aligned} $$
$$ \begin{aligned} \text { Julat antara kuartil } & =\frac{20+22}{2}-\frac{15+16}{2} \\ & =21-15.5 \\ & =5.5 \end{aligned} $$
Hitung julat dan julat antara kuartil bagi setiap set data berikut.
(a) 8, 25, 16, 11, 24, 18, 22
(b) 27, 33, 45, 18, 62, 50
(c) 3.4, 2.8, 2.7, 4.3, 3.8, 3.2, 3.0, 2.9
(d) 12, 19, 17, 18, 15, 12, 17, 20, 22, 30, 32, 16, 18
Penyelesaian:
(a)
$$ \begin{aligned} & 8,11,16,18,22,24,25 \\ & \text { Julat }=25-8 \\ & =17 \end{aligned} $$
$$ \begin{aligned} \text { Julat antara kuartil } & =Q_3-Q_1 \\ & =24-11 \\ & =13 \end{aligned} $$
(b)
$$ \begin{aligned} &\begin{aligned} & \text { 18, 27, 33, 45, 50, } 62 \\ & \begin{aligned} \text { Julat } & =62-18 \\ & =44 \end{aligned} \end{aligned}\\ &\begin{aligned} \text { Julat antara kuartil } & =Q_3-Q_1 \\ & =50-27 \\ & =23 \end{aligned} \end{aligned} $$
(c)
$$ \begin{aligned} & \text { 2.7, 2.8, 2.9, 3.0, 3.2, 3.4, 3.8, } 4.3 \\ & \text { Julat }=4.3-2.7 \\ & \\ & =1.6 \end{aligned} $$
$$ \begin{aligned} \text { Julat antara kuartil } & =\frac{3.4+3.8}{2}-\frac{2.8+2.9}{2} \\ & =3.6-2.85 \\ & =0.75 \end{aligned} $$
(d)
$$ \begin{aligned} & 12,12,15,16,17,17,18,18,19,20,22,30,32 \\ & \text { Julat }=32-12 \\ & \quad=20 \end{aligned} $$
$$ \begin{aligned} \text { Julat antara kuartil } & =\frac{20+22}{2}-\frac{15+16}{2} \\ & =21-15.5 \\ & =5.5 \end{aligned} $$
Soalan 2:
Hitung julat dan julat antara kuartil bagi setiap set data berikut.
Penyelesaian:
(a)
Julat = 7.2 – 6.0 = 1.2
$$ \begin{aligned} & Q_1=\frac{1}{4} \times 80=\text { cerapan } k e-20 \\ & \begin{aligned} Q_3=\frac{3}{4} \times 80=\text { cerapan } k e-60 \end{aligned} \\ & \begin{aligned} \text { Julat antara kuartil } & =Q_3-Q_1 \\ & =6.8-6.4 \\ & =0.4 \end{aligned} \end{aligned} $$
(b)
Julat = 18 – 13 = 5
$$ \begin{aligned} & Q_1=\frac{1}{4} \times 100=\text { cerapan } k e-25 \\ & \begin{aligned} Q_3= & \frac{3}{4} \times 100=\text { cerapan } k e-75 \end{aligned} \\ & \begin{aligned} \text { Julat antara kuartil } & =Q_3-Q_1 \\ = & 17-14 \\ = & 3 \end{aligned} \end{aligned} $$
Hitung julat dan julat antara kuartil bagi setiap set data berikut.
Penyelesaian:
(a)
Julat = 7.2 – 6.0 = 1.2
$$ \begin{aligned} & Q_1=\frac{1}{4} \times 80=\text { cerapan } k e-20 \\ & \begin{aligned} Q_3=\frac{3}{4} \times 80=\text { cerapan } k e-60 \end{aligned} \\ & \begin{aligned} \text { Julat antara kuartil } & =Q_3-Q_1 \\ & =6.8-6.4 \\ & =0.4 \end{aligned} \end{aligned} $$
(b)
Julat = 18 – 13 = 5
$$ \begin{aligned} & Q_1=\frac{1}{4} \times 100=\text { cerapan } k e-25 \\ & \begin{aligned} Q_3= & \frac{3}{4} \times 100=\text { cerapan } k e-75 \end{aligned} \\ & \begin{aligned} \text { Julat antara kuartil } & =Q_3-Q_1 \\ = & 17-14 \\ = & 3 \end{aligned} \end{aligned} $$