tag:blogger.com,1999:blog-53177051368884026412024-02-06T21:56:05.451-08:00Kumpulan Rumus Statistikamy diaryhttp://www.blogger.com/profile/00058956780214791830noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-5317705136888402641.post-56327865681837815562012-04-05T03:13:00.001-07:002012-04-05T03:13:22.837-07:00kumpulan statistika matematika<span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">Pelajaran Statistika di tingkat SMA meliputi </span><b style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">mean, modus, median, jangkauan, simpangan, dan ragam</b><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><b style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">1. Rumus Rataan Hitung (Mean) </b><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">Rata-rata hitung dihitung dengan cara membagi jumlah nilai data dengan banyaknya data. Rata-rata hitung bisa juga disebut mean.</span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">a) Rumus Rataan Hitung dari Data Tunggal </span><br />
<blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgbqfgRC9IcqT20EljpFUt1D62JZ2j4SMLJQ9Czkbxvj1sFyjm4zYt3C9ocemscLlw6q0IWJO3tT0PvdGnht5ZRGxJXsJjmqtOza2M9uTdeL3QiIIvc896Xo9qt8U303SuDpgNgmBjuTvm/s320/statis1.jpg" style="max-width: 99%;" /></blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">b) Rumus Rataan Hitung Untuk Data yang Disajikan Dalam Distribusi Frekuensi</span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidHeU0ijHpcaoZB2aGGwPx_0A84jiNohl_8eBpJ2KLTQt_bRH38wY6PRSdmZy-AYN3yxOScGezuQ-uQD_mjx5dykXqS9EY3SS1PMb-Gm-94wxdOQEtuIr6lqglBGxPSMcD7n1xkdeH-PNt/s320/statis2.jpg" style="max-width: 99%;" /><br />
Dengan : fixi = frekuensi untuk nilai xi yang bersesuaian<br />
xi = data ke-i</blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">c) Rumus Rataan Hitung Gabungan</span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmLHVWaJPnvNve4Ly_tKtyedyXOPnqoEZMVW7a5pdq6AcTvMri9rv8OBD-riEqkyDfjsDAWvFt07UTqB8uBoyrDdxOtHA81G4YP5XEjgWmsMMIbGh5Haod2vmQLxVnYa77ZQcQxfH6GsVS/s320/statis3.jpg" style="max-width: 99%;" /></blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><b style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">2. Rumus Modus </b><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">a. Data yang belum dikelompokkan </span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">Modus dari data yang belum dikelompokkan adalah ukuran yang memiliki frekuensi tertinggi. Modus dilambangkan mo. </span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">b. Data yang telah dikelompokkan</span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">Rumus Modus dari data yang telah dikelompokkan dihitung dengan rumus:</span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-Kp2gJUL9XytoL7vCyqlvPok6iFU0JwhxrBvCLzGywtjMUrnRfitFxsGPHKW7ca2D7DooTevPANq0zAOAfNjfVq3GibaU_AyXaAf6DpLgGHQWm1mdAOuqE5PFnCOwf6YeBwLU74Atj9tf/s320/statis4.jpg" style="max-width: 99%;" /><br />
Dengan : Mo = Modus<br />
L = Tepi bawah kelas yang memiliki frekuensi tertinggi (kelas modus) i = Interval kelas<br />
b1 = Frekuensi kelas modus dikurangi frekuensi kelas interval terdekat sebelumnya<br />
b2 = frekuensi kelas modus dikurangi frekuensi kelas interval terdekat sesudahnya</blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><b style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">3. Rumus Median (Nilai Tengah) </b><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">a) Data yang belum dikelompokkan </span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">Untuk mencari median, data harus dikelompokan terlebih dahulu dari yang terkecil sampai yang terbesar. </span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhW8w9ZD5m5I3PFyO-iCx8Ow1y3eU5hOXyoFnT6TnurbhQDnNRejVJ3CUwxuMJ3gbwP2AAcoC8PgiJp-dypppnQrWZAGcQ49i3SFzIBddTaUZy63yGlskliZ1_7IP55npezAqb5HbYHJpq4/s320/statis5.jpg" style="max-width: 99%;" /></blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">b) Data yang Dikelompokkan</span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQ-KypYKcUWGygJHv1X4BrMxtgecVeGDBMBdfG3-sjZHP-BN5l8yM-I6jSt00AWS4XL63DiQGGW_TXBoaMxcYdlv6PwE88Sbr7ETMcY6U8mcBExuYeuSlchyr3H8qkfouJeLPxv1StGUod/s320/statis6.jpg" style="max-width: 99%;" /><br />
Dengan : Qj = Kuartil ke-j<br />
j = 1, 2, 3<br />
i = Interval kelas<br />
Lj = Tepi bawah kelas Qj<br />
fk = Frekuensi kumulatif sebelum kelas Qj<br />
f = Frekuensi kelas Qj<br />
n = Banyak data</blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><b style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">4. Rumus Jangkauan ( J )</b><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">Selisih antara nilai data terbesar dengan nilai data terkecil. </span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2HwIn-a7WWAl1B-c-kEcKvePqpKY8kbNNJosDJ5OTxwMKB1AuKuhH5EOnEY1qU7axINwsMRM0A30U8hAzJuTZo9wYlButjL6xKk_EvRnls-DtGxGTBLcZK5ifgVzEHc3aLLWNDzVAenXN/s320/statis7.jpg" style="max-width: 99%;" /></blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><b style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">5. Rumus Simpangan Quartil (Qd)</b><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGl5iEKoeQzHc83lFluu-v5a4EvFJII7bJJ1h8Zo1XzylwN830110zqlwAXzm_wFSFpwNsQByqiQsmBMCDUx0CfpcAs8s9SeUT_NTFbu4mPWF4-z4kFpI4-GYe-hMG95CGEVEUN1DGtgjk/s320/statis8.jpg" style="max-width: 99%;" /></blockquote><b style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">6. Rumus Simpangan baku ( S ) </b><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUHy9w6xLeymBRyKCwDRwKo23PX9FTnc6DXyvAYgKj9AAElxP75-t0YXCPiE8szwUc_1p3OC25sTy9MdXrF-QZhxPB9V_TTAaFcPJyx5H-25IU2YG8hMXleYmp-aTXJWQFqHb0pqTmFUdV/s320/statis9.jpg" style="max-width: 99%;" /></blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><b style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">7. Rumus Simpangan rata – rata (SR) </b><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjc7tjIBLlaRkoaqK6IKVW7Z7rgiVgxkUhOvh3_nBa2_9Fj9Csp2qtWuJvrFVz7uUOhq4V8gDFwKx0QazNPKfDly0gxvzxpSYg2iORts88aXUB6pFjSick9LI43TET2OrLpRWXiBrn5eV23/s320/statis10.jpg" style="max-width: 99%;" /></blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><b style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">8. Rumus Ragam (R)</b><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGNEj5DZQ307nUsYIoiAixp0xw4_30cmpVHUF1R1qFBu7rj7iDvDlQ7HdtEXBYAG0S5WHuDN3HJ2Pa4HREc712g6admT8iAG9AIh2JCkZidXvgnySJLQBpDuOLyKuiavTkUMU7s6YpjK-N/s320/statis11.jpg" style="max-width: 99%;" /></blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">Contoh soal statistika</span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">Tabel 1.1 dibawah ini:</span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjoWvjfS0gVETRNiNM5F4wD9S8WDyZDhP6XJ9_ljIls4clOG8VBz3sNGNYWGmB2Ivr0i7RTkLtICMYiVUEGu7FcHYZXXs0JSUnaEvHLuQvTaYXRfU8gE5P5KZF1QH2Yy_H4UvfGRu_26z2S/s320/statis12.jpg" style="max-width: 99%;" /></blockquote><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><span style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;">Jawab :</span><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><br style="background-color: white; color: #444444; font-family: arial; font-size: 13px; line-height: 20px;" /><blockquote style="background-color: #fff090; border-bottom-width: 1px; border-left-style: inset; border-left-width: 1px; border-right-style: inset; border-right-width: 1px; border-top-style: inset; border-top-width: 1px; font-family: arial; font-size: 13px; line-height: 20px; padding-left: 5px; padding-right: 5px;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiiZfM_0ua0Y_S84OdtEZ1mFY6nAG-CDyAsG94-2b7x931RnkEsYgVWxe17kBxuX_3SBjKuRLpkPdAPTqbTLTc0ZVbo8sOWOeDVM6fgoX0Zl70byxP6wdAanbhIw1oMCg3VkM9gPGciz6UM/s320/statis13.jpg" style="max-width: 99%;" /><br />
<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0XsbmAGJGC3SA2SeotLOdobQ5G2uk6uOscaQjRHtG4OPlXILX8nXxqYLON_CjjuRYAEVTMc5-DFiUNvh0MNkXcfmKoOKrD9qnqU864m13IeF70gvpzdXGZrV5-fd7QyAtJNqqRqJkPHfN/s320/statisa.jpg" style="max-width: 99%;" /><br />
<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnuN7XTL9GS9_d7wUqsX7KHlOCmiegQUVCKwzhSleKhgVWux6mT95MBlLTX2y_-wqzdK6NDdN8bt-3YvjH-jJfss0Fz9j1MsY-coIpKEtlrmaciEiM-dQSye7xgciaC6XXqfrqQW7rEnmb/s320/statisb.jpg" style="max-width: 99%;" /><br />
<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXp6ff5mAJuD5mhVzWZ-7uXrKGHfB1WQeBRrsSrsMLKcVG2PZpPn_9QoPztxzKZv6CMMwnLQtbXsoqjkRkNXVY9rUFBJmjY8IGTTQBjeYkVmEmiJQP9kY_XUoQzIpXZXpw3_ICwwssjeWs/s320/statisc.jpg" style="max-width: 99%;" /></blockquote>my diaryhttp://www.blogger.com/profile/00058956780214791830noreply@blogger.com5tag:blogger.com,1999:blog-5317705136888402641.post-90759198564939953642012-03-27T01:29:00.001-07:002012-03-27T01:29:33.767-07:00introductionbaru buat nih...<br />follow yah...<br />
thx :-)my diaryhttp://www.blogger.com/profile/00058956780214791830noreply@blogger.com0