https://peda.net/id/2f34e355d53 2025-03-31T15:00:10+03:00 https://peda.net/:static/548/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license noopener" href="https://peda.net/info" target="_blank">Peda.net-yleislisenssi</a></div> https://peda.net/id/2f352d70d53 2026-04-12T21:49:01+03:00 <p>Huippu5 Todennäköisyys ja tilastot<br/> Opiskelupolut</p> <p><a name="_Toc371020641"></a><strong></strong><strong></strong></p> <p><a href="https://peda.net/siilinjarvi/siilinjarvenlukio/opiskelu/oppiaineet/pitk%C3%A4-matematiikka/lyhyt-matematiikka/mab3/opiskelupolut/opiskelupolut#top" rel="nofollow ugc noopener" target="_blank">Opiskelupolut</a><br/> <br/> <b>Boldilla on laitettu tehtäviä, jotka voidaan käydä yhdessä läpi tunnilla.<br/> <br/> </b><strong>4.1 Tilastojen esittäminen (2 h)</strong><b></b></p> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>401<span> </span><b>402</b><span> </span>403<span> </span><b>404</b><span> </span>405<span> </span><b>406</b><span> </span><b>407<span> </span></b>408 409</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>401<span> </span><b>402</b><span> </span>403<span> </span><b>404</b><span> </span>405<span> </span><b>406</b><span> </span><b>407<span> </span></b>408 409 410<span> </span><b>411</b><span> </span>412 413 415 416 418<span> </span><b>420 421 </b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>401<span> </span><b>402</b><span> </span>403<span> </span><b>404</b><span> </span>405<span> </span><b>406</b><span> </span><b>407<span> </span></b>408 409 410<span> </span><b>411</b><span> </span>412 413 415 416 418<span> </span><b>420 421<span> </span></b>424<span> </span><b>425</b><span> </span>426</td> </tr> </tbody> </table> </div> </div> </div> <p><strong>4.2 Sijaintilukuja (2 h)</strong></p> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>431 432<span> </span>433<span> </span>434<span> </span>435 436 437 438 439 440 441 442 </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>431 432<span> </span>433<span> </span>434<span> </span>435 436 437 428 439 440 441 442 443 <b>444 445 448 450 453 455 457 459 </b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>431 432<span> </span>433<span> </span>434<span> </span>435 436 437 428 439 440 441 442 443 <b>444 445 448 450 453 455 457 459 461 462 463</b></td> </tr> </tbody> </table> <br/> <div class="tablewrap"><strong>5.1 Hajontalukuja (2 h)</strong></div> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>501 <b>502 503</b> 504 <b>505</b> 506 <b>507 508</b> 509</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>501 <b>502 503</b> 504 <b>505</b> 506 <b>507 508</b> 509 510 511 <b>512 513</b> 517 <b>518 522</b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>501 <b>502 503</b> 504 <b>505</b> 506 <b>507 508</b> 509 510 511 <b>512 513</b> 517 <b>518 522 526 </b>528 530</td> </tr> </tbody> </table> </div> </div> </div> <p><strong>5.2 Regressio ja korrelaatio (2 h)</strong></p> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>531 <b>532</b> 533 <b>534</b> 535 <b>536 537 </b></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>531 <b>532</b> 533 <b>534</b> 535 <b>536 537 538</b> 540 542 543 <b>544 545 547</b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>531 532 533 534 535 536 537 538 540 542 543 544 545 547 <b>549 550</b></td> </tr> </tbody> </table> <br/> <b>1. VK LUVUT 4-5<br/> <br/> </b></div> </div> </div> </div> </div> </div> <p><b></b><strong>1.1 Jonot ja joukot</strong><strong><span> </span>(1 h)<br/> </strong></p> <div class="main"> <div class="content enclose"> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>101 102 103 104<span> </span><b>105</b><span> </span>106 107 108</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>101 102 103 104 105 106 107 108 109 110 111<span> 112 </span><b>113</b><span> </span>114 115 117 <b>122</b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>101 102 103 104 105 106 107 108 109 110 111 113 114 115 117 118 119 <b>121</b> <b>122 </b>123</span></p> </td> </tr> </tbody> </table> </div> </div> <p><strong>1.2 Tuloperiaate ja kertoma<span> </span></strong><strong>(1 h)<br/> </strong></p> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>125 126</b><span> </span><span>127 <b>128</b> 129 130 <b>131 132</b></span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>125 126<span> </span><span>127 128 129 130 131 132 133 134 <b>135</b> <b>136 137</b> 138 <b>139</b> 140 141 142 <b>143 </b>146</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>125 126<span> </span><span>127 128 129 130 131 132 133 134 <b>135</b> <b>136 137</b> 138 <b>139</b> 140 141 142 <b>143 </b>146 <b>147</b> 148 <b>149</b></span></p> </td> </tr> </tbody> </table> </div> </div> <div class="tablewrap"> <div class="tablewrap"> <p><strong><br/> 1.3 Kombinaatio<span> </span></strong><strong>(1 h)</strong></p> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>152</b> <b>153</b> 154 <b>155</b> <b>156</b> 157 <b>158</b> 159 160 </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><b>152</b> <b>153</b> 154 <b>155</b> <b>156</b> 157 <b>158</b> 159 160 161 162 163 <b>164 165 </b>168 <b>169 </b>170<b> 171</b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><b>152</b> <b>153</b> 154 <b>155</b> <b>156</b> 157 <b>158</b> 159 160 161 162 163 <b>164 165 </b>168 <b>169 </b>170<b> 171 173 </b>174 176 </p> </td> </tr> </tbody> </table> </div> </div> <strong><br/> 2.1 Klassinen ja tilastollinen todennäköisyys</strong><strong> (1 h)<br/> </strong></div> </div> </div> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>201 202 203 204<span> </span><b>205</b><span> </span><b>206<span> </span>207</b> 208</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>201 202 203 204 205 206 207 208<span> </span><b>209</b><span> </span>210 <b>211</b> <b>212</b> 213 <b>214</b> 215<span> </span><b>217</b><span> </span>218</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>201 202 203 204 205 206 207 208 209 210 211 212 213 215 217 218 <b>219</b> 220<span> </span><b>224 226 227</b></p> </td> </tr> </tbody> </table> </div> </div> </div> <div class="tablewrap"> </div> <div class="tablewrap"> <div class="tablewrap"><strong>2.2 Geometrinen todennäköisyys (2 h)</strong></div> </div> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>228</b> 229<span> </span><b>230</b><span> </span>231 232 233 234 <b>235</b></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span><b>228</b> 229 <b>230</b> 231 232 233 234 <b>235</b> </span>236<b><span> 237 </span> 239</b><span> </span>241 243 <b>244 245</b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><b>228</b> 229<span> </span><b>230</b><span> </span>231 232 233 234 <b>235 </b>236<span> 36<b> 237  239</b> 241 243 <b>244 245 248 </b>250</span></p> </td> </tr> </tbody> </table> </div> </div> </div> <div class="tablewrap"> <div class="tablewrap"><strong>3.1 Komplementtisääntö</strong><strong><span> </span>(1 h)<br/> </strong></div> </div> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>301 302 303 304</b><span> </span><b>305</b> <b>306</b><span> </span><b>307</b><span> </span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span><b>301 302 303 304</b> <b>305</b> <b>306</b> <b>307</b> 308 <b>309</b> 310 311 <b>312</b> 313 <b>314</b> <b>315</b> <b>317</b></span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span><b>301 302 303 304</b> <b>305</b> <b>306</b> <b>307</b> 308 <b>309</b> 310 311 <b>312</b> 313 <b>314</b> <b>315</b> <b>317</b> <b>318 320</b> 321</span></p> </td> </tr> </tbody> </table> </div> </div> <div class="tablewrap"> </div> <strong>3.2 Kertolaskusääntö (1 h)</strong></div> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>322 323 324 325 326 327 328 329 330 331 </b></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>322 323 324 325 326 327 328 329 330 331 332 333 <b>334 335</b> 337 339 <b>341 342 </b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>322 323 324 325 326 327 328 329 330 331 332 333 334 335 337 339 341 342 <b>345 346 347</b> </td> </tr> </tbody> </table> <br/> <div class="tablewrap"><strong>3.3 Yhteenlaskusääntö (1 h)</strong></div> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>349</b> 350 <b>351</b> 352<b> 353 354 355</b> 356</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>349 350 351 352 353 354 355 356 357 358 359 361 362 365 366 368 371</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>349 350 <b>351</b> 352<b> 353 354 355</b> 356 <b>357 358 359</b> 361 362 365 <b>366 </b>368<b> 371 </b>372 373</td> </tr> </tbody> </table> </div> </div> </div> </div> </div> <strong><br/> </strong></div> </div> </div> 2024-02-27T08:26:47+02:00