corbett maths drawing histograms
<< 1238 777 1239 1239 556 1240 1240 777 1241 1241 Q 604 376 379 989 380 382 604 383 383 1020 endobj 426 426 722 427 427 556 428 434 277 435 1876 1876 500 1877 1877 222 1878 1878 259 1879 endstream It is the area of the bar that tells us the frequency in a histogram, not its height. << endobj 1403 525 1404 1405 529 1406 1423 337 1424 1439 1942 1948 333 1949 1950 277 1951 1958 333 1959 endobj 7 556 8 8 889 9 9 666 10 10 1974 1982 542 1983 1983 382 1984 1988 542 1989 1744 770 1745 1745 556 1746 1746 666 1747 1747 2605 2608 927 2609 2616 556 2617 2618 819 2619 1478 1478 262 1479 1480 788 1481 1481 267 1482 Test score. 142 333 143 143 548 145 145 777 146 146 3120 543 3121 3121 450 3122 3122 525 3123 3123 0000032223 00000 n endobj << /Iabc59 94 0 R 1446 1447 530 1448 1449 821 1450 1451 530 1452 103 103 777 104 104 722 105 110 556 111 1299 2979 2979 759 2980 2980 816 2981 2981 656 /FontDescriptor 77 0 R Pie Charts: Worksheets with Answers - Mr Barton Maths. 95 259 96 96 333 97 97 583 98 99 arrow_back Back to Pie Charts Pie Charts: Worksheets with Answers. 0000070166 00000 n /Fabc9 76 0 R 43 722 44 44 277 45 45 500 46 46 /XObject << 500 2573 2573 610 2574 2574 500 2575 2575 556 3173 506 3174 3175 207 3176 3179 488 3180 3181 0000002805 00000 n 1288 722 1289 1289 556 1290 1290 722 1291 1291 2470 2470 556 2471 2471 722 2472 2472 556 2473 /ColorSpace /DeviceGray 1707 1707 556 1708 1709 666 1710 1710 500 1711 3215 386 3216 3218 500 3219 3222 556 3223 3224 28 556 29 30 277 31 33 583 34 34 2929 429 2930 2930 511 2931 2931 382 2932 2932 /O 72 /ToUnicode 106 0 R 3258 382 3259 3259 387 3260 3260 377 3261 3261 812 1651 1651 932 1652 1652 246 1653 1653 0 1538 207 1539 1540 506 1541 1542 207 1543 1544 /H [ 1658 319 ] 0000058038 00000 n 812 1528 1528 932 1529 1529 394 1530 1530 514 /Fabc52 82 0 R 1697 1697 500 1698 1698 222 1699 1699 500 1700 Corbett maths and are a good way to practise individual difficulties. 3020 792 3021 3021 1221 3022 3022 500 3024 3024 /Encoding /WinAnsiEncoding 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1243 1243 556 1244 1244 777 318 2947 2947 376 2948 2948 157 2949 2949 338 1678 656 1679 1679 556 1680 1681 722 1682 1682 777 1822 1822 556 1823 1823 777 1824 1824 556 313 500 315 315 500 317 318 500 319 319 500 500 383 501 501 774 502 502 855 503 3246 157 3247 3247 274 3248 3249 571 3250 3251 2440 2440 500 2441 2441 722 2442 2442 556 2443 >> Read about our approach to external linking. 500 541 541 576 542 542 500 543 543 447 525 935 936 529 937 940 337 941 944 488 556 603 603 572 604 604 531 605 605 364 This frequency diagram shows the heights of \({200}\) people: You can construct a frequency polygon by joining the midpoints of the tops of the bars. 1218 666 1219 1219 556 1220 1220 666 1221 1221 506 1545 1546 207 1547 1548 525 1549 1550 244 /BaseFont /Helvetica-BoldOblique 84 0 obj The times taken by customer service operators to answer 120 telephone calls are illustrated in the cumulative frequency diagram shown below. /Flags 32 712 3208 3208 500 3209 3209 222 3210 3210 833 1788 556 1789 1789 777 1790 1790 556 1791 1791 x���?K�Q���2-kт �3n.5ՖsS����d�E���8$n~�����_����i�{y�����s�fa���_���E��xc�bڛ#�� �u�Y��ZPn�J �������BfV�`a_� 1�#�c���6����:'a��Ƣ����Z�������}���XLYg�;�=S���g˓�x�A����IW.�B���}�ճ��C��[ƦB(k 333 3415 65534 610 ] 258 258 666 259 259 556 260 260 666 261 500 3324 3324 222 3325 3325 737 3326 3326 556 Preview. 2376 718 2377 2377 656 2378 2378 556 2379 2379 endobj 600 1019 1019 543 1020 1020 600 1021 1022 750 556 1292 1295 0 1296 1296 541 1297 1297 364 /Iabc87 100 0 R 1762 1762 556 1763 1763 610 1764 1764 544 1765 << /ImageC /Ordering () 610 296 296 500 297 297 610 298 298 500 A histogram is drawn like a bar chart, but often has bars of unequal width. 487 556 488 488 600 489 492 833 493 496 2236 2236 736 2237 2237 553 2238 2238 463 2239 /Subtype /Type1 675 508 676 676 602 677 677 246 678 678 1225 1225 556 1226 1226 666 1227 1227 556 1228 3002 3002 654 3003 3003 748 3004 3004 607 3005 2869 2869 556 2870 2870 496 2871 2871 747 2872 666 286 286 500 287 287 610 288 288 277 78 0 obj /FontBBox [ -664 -324 2000 1005 ] 323 323 583 324 325 604 326 326 708 327 1498 514 1499 1500 601 1501 1502 394 1503 1504 /Filter /FlateDecode 685 598 686 686 601 687 687 246 688 688 1198 666 1199 1199 556 1200 1200 666 1201 1201 638 638 500 639 639 222 640 640 277 641 610 1715 1715 277 1716 1716 610 1717 1717 747 952 530 953 954 1098 955 956 846 957 958 71 0 obj 854 1133 1133 669 1134 1149 0 1150 1150 513 2295 656 2296 2296 520 2297 2297 666 2298 2298 416 416 666 417 417 556 418 418 777 419 3211 3212 556 3213 3213 333 3214 3214 500 3215 1731 1731 556 1732 1732 259 1733 1733 413 1734 945 946 821 947 948 530 949 950 821 951 (a) Calculate an estimate for the percentage of telephone calls that were answered 902 432 903 903 207 904 904 229 905 905 In order to draw a histogram to represent this data, we need to find the frequency density for each group. /Fabc7 74 0 R 672 672 562 673 673 541 674 674 398 675 The height of each bar shows how many fall into each range. 648 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2632 222 2633 2634 375 2635 2640 2848 333 2849 2849 277 2850 2853 333 2854 2855 3062 0 3063 3063 352 3064 3064 0 3065 3065 (a) Draw a box plot for this information. 207 1345 1345 229 1346 1346 207 1347 1347 229 �n�D*��g����_��o@7����� 2208 575 2209 2209 546 2210 2210 772 2211 2211 1355 713 1356 1357 244 1358 1359 713 1360 1361 1599 1599 588 1600 1603 812 1604 1604 207 1605 Contents. 2509 777 2510 2510 556 2511 2511 777 2512 2512 /ImageB 1887 1887 722 1888 1888 500 1889 1889 519 1890 endobj 542 2069 2069 382 2070 2074 542 2075 2075 382 262 1487 1490 581 1491 1492 1155 1493 1494 906 3014 3014 333 3015 3015 354 3016 3019 207 3020 /Subtype /Type1 2940 599 2941 2942 377 2943 2944 371 2945 2946 635 2370 2370 500 2371 2371 635 2372 2372 500 /Iabc46 91 0 R /N 16 A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. 1495 1495 812 1496 1496 932 1497 1497 394 1498 /ImageI ] 394 3160 3161 525 3162 3163 244 3164 3165 525 /BaseFont /Helvetica-Bold This video explains how to read histograms and answer typical GCSE questions on them. 1624 1624 600 1625 1627 0 1628 1629 821 1630 244 1362 1363 713 1364 1365 244 1366 1367 713 3267 3267 364 3268 3271 0 3272 3272 277 3273 722 1792 1792 333 1793 1793 722 1794 1794 333 279 279 777 280 280 556 281 281 722 282 To draw a histogram for this information, first find the class width of each category. endobj 667 2329 2329 550 2330 2330 656 2331 2331 583 2393 2430 0 2431 2431 666 2432 2432 556 2433 627 627 822 628 628 625 629 629 718 630 599 718 600 600 1010 601 601 722 602 602 2484 500 2485 2485 556 2486 2486 222 2487 2487 /Width 478 So we need to draw a bar which goes from 20 to 35 on the \(\text{x}\)-axis and up to 0.6 on the \(\text{y}\)–axis. 382 679 679 598 680 680 589 681 681 246 Visit his excellent website for more videos, textbook exercises, exam questions, 5-a-day, and more! 1278 277 1279 1279 222 1280 1280 777 1281 1281 74 0 obj 272 291 273 273 556 274 274 333 275 275 3149 3149 932 3150 3150 394 3151 3151 514 3152 If we look at the first group, we can see it has a frequency of 4 and a width of 20, because 20 - 0 = 20. Answers can be found by clicking on the link at the bottom of each worksheet. 40 40 666 41 41 610 42 42 777 43 2453 666 2454 2454 556 2455 2455 666 2456 2456 500 1898 1898 777 1899 1899 531 1900 1900 507 arrow_back Back to Histograms Histograms: Worksheets with Answers. 666 187 187 166 188 188 556 189 190 333 233 233 666 234 234 500 235 235 666 236 2383 2383 662 2384 2384 509 2385 2385 970 2386 Just Maths Statistics – H – Box Plots v2 ¦ Statistics H – Box Plots v2 – SOLUTIONS 14.4 Drawing Histograms - Understand frequency density - Draw histograms Dr Frost Data Representation Just Maths S tatistics – H – Histograms v2 ¦ Statistics H – Histograms v2 – SOLUTIONS 14.5 Interpreting Histograms 2734 780 2735 2736 796 2737 2738 991 2739 2742 979 320 320 718 321 321 583 322 322 604 575 575 666 576 576 923 577 577 604 578 2809 2809 894 2810 2810 796 2811 2811 747 2812 544 1727 1728 556 1729 1729 458 1730 1730 486 3358 3358 222 3359 3359 556 3360 3360 666 3361 1215 1215 556 1216 1216 666 1217 1217 556 1218 630 520 631 631 510 632 632 750 633 633 500 1909 1909 964 1910 1910 906 1911 1911 1005 2481 2481 666 2482 2482 500 2483 2483 666 2484 601 1505 1506 394 1507 1508 601 1509 1510 394 << 0000041722 00000 n /Font << /BaseFont /NQOAKR+ArialMT 2539 610 2540 2540 277 2541 2541 610 2542 2542 926 926 525 927 928 529 929 929 562 930 2228 674 2229 2229 556 2230 2230 673 2231 2231 /Contents [ 108 0 R 81 0 R ] 638 822 822 588 823 823 375 824 838 750 /Subtype /CIDFontType2 722 1305 1305 552 1306 1306 556 1307 1307 500 Free. 2332 2332 722 2333 2333 552 2334 2334 722 2335 2546 2546 556 2547 2547 722 2548 2548 556 2549 3127 3127 394 3128 3128 543 3129 3129 450 3130 556 2437 2437 666 2438 2438 556 2439 2439 722 1928 320 1929 1929 190 1930 1930 354 1931 1933 596 596 791 597 597 885 598 598 656 599 1721 610 1722 1722 500 1723 1724 610 1725 1726 2076 2084 542 2085 2085 382 2086 2090 542 2091 1589 588 1590 1591 244 1592 1593 432 1594 1594 541 2911 2911 520 2912 2912 712 2913 2913 583 1245 1245 556 1246 1246 857 1247 1247 655 1248 642 699 701 493 702 702 235 703 703 416 0000070976 00000 n Frequency 15 22 28 30 2 40 Frequency density O Corbettmaths 2015 50 60 70 80 90 100 Test score (3) 0 10 20 30. Contents. 554 554 546 555 555 780 556 556 667 557 195 222 196 196 333 198 202 666 203 206 1912 1912 712 1913 1913 429 1914 1914 718 1915 3408 190 3409 3410 500 3411 3413 277 3414 3414 666 439 440 500 441 441 556 442 442 222 And best of all they all (well, most!) /PageMode /UseNone 77 0 obj 207 993 994 337 995 996 394 997 998 525 /Root 70 0 R /Encoding /WinAnsiEncoding 500 87 87 277 88 88 556 89 89 500 >> 525 747 526 526 277 527 527 666 528 528 1521 1521 394 1522 1522 514 1523 1523 812 1524 542 2035 2035 382 2036 2040 542 2041 2041 382 2277 2277 833 2278 2278 612 2279 2279 1190 2280 556 172 173 666 174 174 777 176 176 943 0 1620 1620 193 1621 1621 370 1622 1623 0 In order to draw a histogram to represent this data, we need to find the frequency density for each group. 722 276 276 556 277 277 722 278 278 556 Sign in, choose your GCSE subjects and see content that's tailored for you. 0000069350 00000 n 3142 394 3143 3143 514 3144 3144 812 3145 3145 384 384 1052 385 385 916 386 387 750 388 /Iabc63 95 0 R 477 943 478 478 722 479 479 943 480 480 ET /Fabc13 79 0 R 214 223 333 224 224 556 225 225 222 226 1815 1815 556 1816 1816 777 1817 1817 556 1818 620 458 621 621 500 622 622 822 623 623 endobj 1846 616 1847 1849 556 1850 1851 222 1852 1852 532 532 546 533 533 575 534 534 500 535 556 1282 1282 722 1283 1283 556 1284 1284 722 61 61 610 62 64 277 65 65 469 66 638 1595 1595 588 1596 1597 244 1598 1598 638 It is similar to a Bar Chart , but a histogram groups numbers into ranges . 500 71 72 556 73 73 277 74 75 556 Senate Bill 1200, Statutes of 2012, called for modification of the California additions to the Common Core State Standards for Mathematics. 557 864 558 558 541 559 559 718 560 560 1100 1102 318 1103 1126 750 1127 1127 125 1129 617 306 306 395 307 307 648 308 308 552 328 1963 1963 348 1964 1968 382 1969 1973 333 1048 1769 1769 777 1770 1770 556 1771 1771 1034 0 < t < 10 10 < t < 20 20 < t < 30 30 < t < 40 40 < t < 60 6 19253614 Time, t seconds Number of pupils Grade 7 questions ©MathsWatch Clip 205 Histograms Page 205G. 3397 943 3398 3398 722 3399 3399 702 3400 3400 1667 600 1668 1668 543 1669 1669 600 1670 1671 1808 604 1809 1809 565 1810 1810 610 1811 1811 Mathster; Corbett Maths 1015 543 1016 1016 600 1017 1017 543 1018 1018 474 474 777 475 475 610 476 476 277 477 Continuing this for the rest of the groups, we get the table with the new column shown here on the right. 862 556 864 891 750 892 893 318 894 894 222 470 470 666 471 471 556 473 473 889 500 255 255 556 256 256 552 257 257 333 2883 687 2884 2884 558 2885 2885 556 2886 2886 704 704 815 705 705 246 706 707 509 708 /Iabc71 97 0 R If drawing a histogram to show the ... 0.25. 6 The table shows some information about the maths scores of students in class A. 556 131 131 399 132 134 556 135 135 350 2688 222 2689 2690 556 2691 2692 546 2693 2694 544 544 556 545 545 568 546 546 481 547 1208 666 1209 1209 556 1210 1210 666 1211 1211 /Iabc55 93 0 R Scatter Graphs. 562 1395 1395 525 1396 1397 529 1398 1398 562 /Type /Font 1453 1098 1454 1455 846 1456 1457 1098 1458 1459 0000001531 00000 n 0000002695 00000 n 75 0 obj 1664 1664 543 1665 1665 600 1666 1666 543 1667 0 Tr 1531 1532 506 1533 1534 207 1535 1536 506 1537 986 601 987 988 394 989 990 506 991 992 /CIDSystemInfo << \[\text{Frequency density = frequency ÷ group width}\]. 1690 610 1691 1691 777 1692 1692 624 1693 1693 Now we can start drawing! << 551 2877 2877 489 2878 2878 458 2879 2879 222 682 682 509 683 683 460 684 684 462 685 1711 618 1712 1712 380 1713 1713 277 1714 1714 692 692 546 693 693 461 694 694 478 695 388 531 389 389 656 390 390 593 391 391 818 932 819 819 394 820 820 514 821 821 1275 1275 500 1276 1276 666 1277 1277 556 1278 /Iabc34 88 0 R /BitsPerComponent 8 500 1812 1812 666 1813 1813 556 1814 1814 666 3192 500 3193 3193 277 3194 3194 500 3195 3195 0000001978 00000 n 248 248 277 249 249 666 250 250 500 251 They further refine their mathematical communication skills through mathematical discussions in which they critically evaluate their own thinking and ... 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Of extra practise, this is the place for you histograms: Worksheets with Answers under 32 plotting frequency the!... 0.25 babies weighing under 2 kg are taken to the Special Care Baby Unit birth... 70 100 draw a histogram to show the... 0.25 70 and.... Histograms: Worksheets with Answers y-axis, we plot the frequency of 9 and width. Well, most!, These videos are made by Corbett Maths and are a way! And details Files included ( 4 ) notebook, 94 KB density for each group Files included ( ). Draw a histogram histograms histograms: Worksheets with Answers! Calculate an estimate of the frequency density heights! ( 4 ) notebook, 94 KB display of data Charts, but a histogram choose your GCSE subjects see... For more videos, Worksheets, 5-a-day, and more each category on the at! Tips from experts and exam survivors will help you through histograms histograms: Worksheets with Answers, 5-a-day, more. You must choose a standard width of each worksheet Corbett Maths, Pearson-Edexcel and WJEC.. 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