Matematika Dasar Contoh

$13$ , $18$ , $27$ , $19$ , $14$ , $31$ , $8$ , $17$ , $23$ , $8$ , $17$ , $23$ , $20$ , $24$ , $23$ , $19$ , $27$ , $40$ , $13$ , $23$

Langkah 1

Rata-rata dari himpunan bilangan adalah jumlah dibagi dengan banyaknya suku.

$\overline{x} = \frac{13 + 18 + 27 + 19 + 14 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2

Sederhanakan pembilangnya.

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Langkah 2.1

Tambahkan $13$ dan $18$ .

$\overline{x} = \frac{31 + 27 + 19 + 14 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.2

Tambahkan $31$ dan $27$ .

$\overline{x} = \frac{58 + 19 + 14 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.3

Tambahkan $58$ dan $19$ .

$\overline{x} = \frac{77 + 14 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.4

Tambahkan $77$ dan $14$ .

$\overline{x} = \frac{91 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.5

Tambahkan $91$ dan $31$ .

$\overline{x} = \frac{122 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.6

Tambahkan $122$ dan $8$ .

$\overline{x} = \frac{130 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.7

Tambahkan $130$ dan $17$ .

$\overline{x} = \frac{147 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.8

Tambahkan $147$ dan $23$ .

$\overline{x} = \frac{170 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.9

Tambahkan $170$ dan $8$ .

$\overline{x} = \frac{178 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.10

Tambahkan $178$ dan $17$ .

$\overline{x} = \frac{195 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.11

Tambahkan $195$ dan $23$ .

$\overline{x} = \frac{218 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.12

Tambahkan $218$ dan $20$ .

$\overline{x} = \frac{238 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.13

Tambahkan $238$ dan $24$ .

$\overline{x} = \frac{262 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.14

Tambahkan $262$ dan $23$ .

$\overline{x} = \frac{285 + 19 + 27 + 40 + 13 + 23}{20}$

Langkah 2.15

Tambahkan $285$ dan $19$ .

$\overline{x} = \frac{304 + 27 + 40 + 13 + 23}{20}$

Langkah 2.16

Tambahkan $304$ dan $27$ .

$\overline{x} = \frac{331 + 40 + 13 + 23}{20}$

Langkah 2.17

Tambahkan $331$ dan $40$ .

$\overline{x} = \frac{371 + 13 + 23}{20}$

Langkah 2.18

Tambahkan $371$ dan $13$ .

$\overline{x} = \frac{384 + 23}{20}$

Langkah 2.19

Tambahkan $384$ dan $23$ .

$\overline{x} = \frac{407}{20}$

Langkah 3

Bagilah.

$\overline{x} = 20.35$

Langkah 4

Rata-rata harus dibulatkan ke satu tempat desimal yang lebih dari data asli. Jika data aslinya dicampur, bulatkan ke satu tempat desimal lebih dari yang paling tidak tepat.

$\overline{x} = 20.4$

Langkah 5

Tulis rumus variansnya. Varians dari himpunan nilai adalah ukuran penyebaran dari nilai-nilai tersebut.

$s^{2} = \sum_{i = 1}^{n} \frac{{(x_{i} - x_{a v g})}^{2}}{n - 1}$

Langkah 6

Tulis rumus varians untuk himpunan bilangan ini.

$s = \frac{{(13 - 20.4)}^{2} + {(18 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7

Sederhanakan hasilnya.

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Langkah 7.1

Sederhanakan pembilangnya.

Ketuk untuk lebih banyak langkah...

Langkah 7.1.1

Kurangi $20.4$ dengan $13$ .

$s = \frac{{(- 7.4)}^{2} + {(18 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.2

Naikkan $- 7.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + {(18 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.3

Kurangi $20.4$ dengan $18$ .

$s = \frac{54.76 + {(- 2.4)}^{2} + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.4

Naikkan $- 2.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.5

Kurangi $20.4$ dengan $27$ .

$s = \frac{54.76 + 5.76 + {6.6}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.6

Naikkan $6.6$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.7

Kurangi $20.4$ dengan $19$ .

$s = \frac{54.76 + 5.76 + 43.56 + {(- 1.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.8

Naikkan $- 1.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.9

Kurangi $20.4$ dengan $14$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + {(- 6.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.10

Naikkan $- 6.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.11

Kurangi $20.4$ dengan $31$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + {10.6}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.12

Naikkan $10.6$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.13

Kurangi $20.4$ dengan $8$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + {(- 12.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.14

Naikkan $- 12.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.15

Kurangi $20.4$ dengan $17$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + {(- 3.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.16

Naikkan $- 3.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.17

Kurangi $20.4$ dengan $23$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + {2.6}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.18

Naikkan $2.6$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.19

Kurangi $20.4$ dengan $8$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + {(- 12.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.20

Naikkan $- 12.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.21

Kurangi $20.4$ dengan $17$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + {(- 3.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.22

Naikkan $- 3.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.23

Kurangi $20.4$ dengan $23$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + {2.6}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.24

Naikkan $2.6$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.25

Kurangi $20.4$ dengan $20$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + {(- 0.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.26

Naikkan $- 0.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.27

Kurangi $20.4$ dengan $24$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + {3.6}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.28

Naikkan $3.6$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.29

Kurangi $20.4$ dengan $23$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + {2.6}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.30

Naikkan $2.6$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.31

Kurangi $20.4$ dengan $19$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + {(- 1.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.32

Naikkan $- 1.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.33

Kurangi $20.4$ dengan $27$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + {6.6}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.34

Naikkan $6.6$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.35

Kurangi $20.4$ dengan $40$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + {19.6}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.36

Naikkan $19.6$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.37

Kurangi $20.4$ dengan $13$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + {(- 7.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.38

Naikkan $- 7.4$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + {(23 - 20.4)}^{2}}{20 - 1}$

Langkah 7.1.39

Kurangi $20.4$ dengan $23$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + {2.6}^{2}}{20 - 1}$

Langkah 7.1.40

Naikkan $2.6$ menjadi pangkat $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.41

Tambahkan $54.76$ dan $5.76$ .

$s = \frac{60.52 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.42

Tambahkan $60.52$ dan $43.56$ .

$s = \frac{104.08 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.43

Tambahkan $104.08$ dan $1.96$ .

$s = \frac{106.04 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.44

Tambahkan $106.04$ dan $40.96$ .

$s = \frac{147 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.45

Tambahkan $147$ dan $112.36$ .

$s = \frac{259.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.46

Tambahkan $259.36$ dan $153.76$ .

$s = \frac{413.12 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.47

Tambahkan $413.12$ dan $11.56$ .

$s = \frac{424.68 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.48

Tambahkan $424.68$ dan $6.76$ .

$s = \frac{431.44 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.49

Tambahkan $431.44$ dan $153.76$ .

$s = \frac{585.2 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.50

Tambahkan $585.2$ dan $11.56$ .

$s = \frac{596.76 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.51

Tambahkan $596.76$ dan $6.76$ .

$s = \frac{603.52 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.52

Tambahkan $603.52$ dan $0.16$ .

$s = \frac{603.68 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.53

Tambahkan $603.68$ dan $12.96$ .

$s = \frac{616.64 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.54

Tambahkan $616.64$ dan $6.76$ .

$s = \frac{623.4 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.55

Tambahkan $623.4$ dan $1.96$ .

$s = \frac{625.36 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.56

Tambahkan $625.36$ dan $43.56$ .

$s = \frac{668.92 + 384.16 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.57

Tambahkan $668.92$ dan $384.16$ .

$s = \frac{1053.08 + 54.76 + 6.76}{20 - 1}$

Langkah 7.1.58

Tambahkan $1053.08$ dan $54.76$ .

$s = \frac{1107.84 + 6.76}{20 - 1}$

Langkah 7.1.59

Tambahkan $1107.84$ dan $6.76$ .

$s = \frac{1114.6}{20 - 1}$

Langkah 7.2

Sederhanakan pernyataannya.

Ketuk untuk lebih banyak langkah...

Langkah 7.2.1

Kurangi $1$ dengan $20$ .

$s = \frac{1114.6}{19}$

Langkah 7.2.2

Bagilah $1114.6$ dengan $19$ .

$s = 58.66315789$

Langkah 8

Perkirakan hasilnya.

$s^{2} \approx 58.6632$