corbett maths drawing histograms

/Fabc9 76 0 R stream /ColorSpace /DeviceGray /Type /Catalog 3361 722 3362 3362 556 3363 3363 277 3364 3364 Read about our approach to external linking. 0000067379 00000 n 739 593 593 666 594 594 916 595 595 937 72 0 obj 666 2591 2596 813 2597 2602 445 2603 2604 764 0000068563 00000 n 3153 337 3154 3155 394 3156 3157 337 3158 3159 1386 1386 562 1387 1387 525 1388 1389 529 1390 267 1474 1474 262 1475 1476 788 1477 1477 267 666 413 413 556 414 414 666 415 415 556 1048 1769 1769 777 1770 1770 556 1771 1771 1034 >> 1188 666 1189 1189 556 1190 1190 666 1191 1191 487 556 488 488 600 489 492 833 493 496 1311 500 1312 1312 666 1313 1313 520 1314 1314 3372 425 3373 3373 648 3374 3379 0 3380 3380 Videos, worksheets, 5-a-day and much more 556 2488 2488 222 2489 2489 556 2490 2490 222 << 1334 1335 333 1336 1339 0 1340 1340 207 1341 812 1651 1651 932 1652 1652 246 1653 1653 0 << 833 583 583 722 584 584 777 585 585 718 177 177 556 179 180 333 181 182 222 183 2450 2450 556 2451 2451 666 2452 2452 556 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524 835 525 /Fabc52 82 0 R Histograms are a way of representing data. 406 406 666 407 407 556 408 408 722 409 500 230 230 259 231 231 722 232 232 556 2506 2506 556 2507 2507 777 2508 2508 556 2509 Preview and details Files included (4) notebook, 94 KB. 1278 277 1279 1279 222 1280 1280 777 1281 1281 1805 1805 722 1806 1806 556 1807 1807 706 1808 0000002918 00000 n 3020 792 3021 3021 1221 3022 3022 500 3024 3024 3014 3014 333 3015 3015 354 3016 3019 207 3020 !Calculate an estimate of the number of athletes between 70 and 95kg. 750 786 786 0 787 794 750 795 795 638 328 3277 3277 371 3278 3278 777 3279 3279 666 endobj >> Firstly, draw a set of axes with frequency on the y-axis (this will always be the case), and age on the x-axis. 556 2467 2467 722 2468 2468 556 2469 2469 722 Thirty babies weighed over 4.5 kg Babies weighing under 2 kg are taken to the Special Care Baby Unit. /Filter /FlateDecode /BaseFont /Helvetica-BoldOblique 986 601 987 988 394 989 990 506 991 992 /StemV 80 /Iabc67 96 0 R 529 811 812 488 813 813 812 814 814 932 2250 558 2251 2251 1337 2252 2252 624 2253 2253 556 3196 3196 380 3197 3197 556 3198 3198 785 2208 575 2209 2209 546 2210 2210 772 2211 2211 1744 770 1745 1745 556 1746 1746 666 1747 1747 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. 500 71 72 556 73 73 277 74 75 556 394 3160 3161 525 3162 3163 244 3164 3165 525 2443 722 2444 2444 556 2445 2445 722 2446 2446 772 772 318 773 773 525 774 775 750 776 395 395 443 396 396 604 397 397 187 398 2516 2516 556 2517 2517 666 2518 2518 556 2519 2883 687 2884 2884 558 2885 2885 556 2886 2886 2539 610 2540 2540 277 2541 2541 610 2542 2542 1879 222 1880 1880 349 1881 1882 277 1883 1883 70 0 obj 1. 556 35 35 1015 36 37 666 38 39 722 2559 943 2560 2560 722 2561 2561 943 2562 2562 /BaseFont /Helvetica-Bold Continuing this for the rest of the groups, we get the table with the new column shown here on the right. 155 548 156 156 273 157 157 370 158 158 435 222 436 436 500 437 437 222 438 438 /FontDescriptor 77 0 R 638 1008 1008 588 1009 1009 638 1010 1010 588 556 1212 1212 666 1213 1213 556 1214 1214 666 /Iabc107 105 0 R 458 1839 1839 631 1840 1840 507 1841 1841 277 Free. 2569 610 2570 2570 500 2571 2571 610 2572 2572 /Iabc34 88 0 R 2463 777 2464 2464 556 2465 2465 722 2466 2466 2076 2084 542 2085 2085 382 2086 2090 542 2091 /Encoding /WinAnsiEncoding 551 2877 2877 489 2878 2878 458 2879 2879 222 0000047484 00000 n >> 353 3262 3262 321 3263 3265 358 3266 3266 369 0000001658 00000 n 2566 2566 500 2567 2567 666 2568 2568 500 2569 trailer 382 2959 2959 407 2960 2960 572 2961 2961 321 1198 666 1199 1199 556 1200 1200 666 1201 1201 1678 656 1679 1679 556 1680 1681 722 1682 1682 Author: Created by alutwyche. 1782 1782 556 1783 1786 277 1787 1787 777 1788 777 1822 1822 556 1823 1823 777 1824 1824 556 812 1528 1528 932 1529 1529 394 1530 1530 514 222 3381 3381 723 3382 3382 722 3383 3383 723 0 Tr 2529 666 2530 2530 500 2531 2531 666 2532 2532 111 500 112 115 556 116 119 277 120 130 416 416 666 417 417 556 418 418 777 419 (a) Calculate an estimate for the percentage of telephone calls that were answered /Type /XObject 0000070166 00000 n 2821 2821 666 2822 2822 610 2824 2824 500 2825 556 2447 2447 722 2448 2448 556 2449 2449 722 /ColorSpace /DeviceRGB Drawing Histograms Frequency Density = Frequency/Class Width Reading HIstograms Frequency = Frequency Density x class width Fractional Indices x^1/n = n root x x ^m/n = (n root x)^m 27 ^2/3 = 9 Laws of Indices m^3 x m^4 = m^7 (Add) m^8 / m^2 = m^6 (Subtract) (m^3)^2 = m^6 (Multiply Negative Indices x ^-n = 1/x^n x^0 = 1 Limits of accuracy rM. startxref 0000001978 00000 n stream Instead of plotting frequency on the y-axis, we plot the frequency density. stream << /Subtype /Type0 910 910 229 911 912 713 913 914 244 915 0000032377 00000 n 1464 1464 525 1465 1465 394 1466 1468 788 1469 In order to draw a histogram to represent this data, we need to find the frequency density for each group. 0000110915 00000 n 2473 722 2474 2474 556 2475 2475 277 2476 2476 << /BaseFont /NQOAKR+ArialMT /Iabc46 91 0 R 958 2212 2212 772 2213 2213 560 2214 2214 780 556 2503 2503 722 2504 2504 556 2505 2505 722 3076 3077 244 3078 3079 713 3080 3081 244 3082 arrow_back Back to Pie Charts Pie Charts: Worksheets with Answers. endobj 0000002805 00000 n /Type /FontDescriptor 412 752 752 207 753 760 0 761 771 525 1640 1640 412 1641 1641 337 1642 1642 282 1643 3002 3002 654 3003 3003 748 3004 3004 607 3005 << 244 921 922 713 923 924 244 925 925 562 endobj 930 525 931 932 529 933 933 562 934 934 /ID [ 2681 2682 578 2683 2684 445 2685 2686 556 2687 3039 3040 886 3041 3041 666 3042 3042 722 3043 BT 500 3324 3324 222 3325 3325 737 3326 3326 556 282 333 283 283 722 284 284 333 285 285 /Type /XObject 666 439 440 500 441 441 556 442 442 222 /Root 70 0 R 3320 667 3321 3321 666 3322 3322 556 3323 3323 Recognise correlation and know that it does not indicate causation. 2880 2880 422 2881 2881 500 2882 2882 401 2883 1795 1795 722 1796 1796 556 1797 1797 722 1798 2215 2215 601 2216 2216 777 2217 2217 556 2218 /ToUnicode 106 0 R 570 2641 2646 556 2647 2648 826 2649 2650 1021 272 291 273 273 556 274 274 333 275 275 1375 713 1376 1377 244 1378 1379 713 1380 1381 382 679 679 598 680 680 589 681 681 246 /Ordering () 1755 777 1756 1756 556 1757 1757 666 1758 1758 >> They can be used to determine information about the distribution of data. 1298 1298 923 1299 1299 668 1300 1300 582 1301 1589 588 1590 1591 244 1592 1593 432 1594 1594 1772 1772 618 1773 1773 722 1774 1774 556 1775 /Type /Font 1235 1235 556 1236 1236 777 1237 1237 556 1238 500 2533 2533 666 2534 2534 500 2535 2535 666 610 1802 1802 277 1803 1803 544 1804 1804 436 277 2781 2782 424 2783 2785 333 2786 2789 546 583 614 614 687 615 615 552 616 616 556 191 192 500 193 193 556 194 194 277 195 Q8.€€€€€€€€€ The histogram represents the birth weights of 150 babies. 2914 2914 453 2915 2915 663 2916 2917 414 2918 685 598 686 686 601 687 687 246 688 688 /OpenAction [ 72 0 R /Width 478 1901 1901 558 1902 1902 552 1903 1903 397 1904 970 970 450 971 971 525 972 972 394 973 0000038397 00000 n /Fabc8 75 0 R 0000003361 00000 n 267 3135 3135 262 3136 3137 788 3138 3138 267 2962 2962 390 2963 2963 385 2964 2964 321 2965 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 3239 3239 383 3240 3243 157 3244 3244 270 3245 /Iabc83 99 0 R /O 72 3404 3404 840 3405 3405 277 3406 3406 437 3407 302 578 303 303 556 304 304 445 305 305 1245 1245 556 1246 1246 857 1247 1247 655 1248 446 556 447 447 777 448 448 556 449 449 617 306 306 395 307 307 648 308 308 552 /CapHeight 716 90 90 722 91 93 500 94 94 333 95 803 2274 2274 630 2275 2275 1074 2276 2276 896 /Supplement 0 3055 3057 722 3058 3058 541 3059 3059 364 3060 So we need to draw a bar which goes from 0 to 20 on the, So we need to draw a bar which goes from 20 to 35 on the, Further probability - Intermediate & Higher tier – WJEC, Home Economics: Food and Nutrition (CCEA). 815 815 394 816 816 514 817 817 812 818 1195 1195 556 1196 1196 666 1197 1197 556 1198 /Subtype /CIDFontType2 364 3337 3337 666 3338 3338 500 3339 3339 666 694 738 738 642 739 739 246 740 740 541 1667 600 1668 1668 543 1669 1669 600 1670 1671 0000060883 00000 n 1788 556 1789 1789 777 1790 1790 556 1791 1791 Make predictions by interpolation and extrapolation of apparent trends. 7 556 8 8 889 9 9 666 10 10 0000070409 00000 n Test score. /Iabc63 95 0 R 313 500 315 315 500 317 318 500 319 319 2295 656 2296 2296 520 2297 2297 666 2298 2298 /Iabc99 103 0 R Our tips from experts and exam survivors will help you through. And best of all they all (well, most!) 627 627 822 628 628 625 629 629 718 630 525 935 936 529 937 940 337 941 944 488 endstream 299 299 550 300 300 777 301 301 797 302 83 0 obj 1390 562 1391 1391 525 1392 1393 529 1394 1394 2918 449 2919 2920 410 2921 2921 496 2922 2922 1912 1912 712 1913 1913 429 1914 1914 718 1915 << 0 Ts 3358 3358 222 3359 3359 556 3360 3360 666 3361 /ABCpdf 7023 525 1672 1672 543 1673 1673 600 1674 1674 556 1498 514 1499 1500 601 1501 1502 394 1503 1504 Once this is done, we want to plot one point for each group. 3043 500 3044 3044 556 3045 3045 610 3046 3047 638 906 906 588 907 908 244 909 909 207 1842 1843 556 1844 1844 558 1845 1845 500 1846 333 497 497 667 498 498 784 499 499 837 600 1019 1019 543 1020 1020 600 1021 1022 750 642 699 701 493 702 702 235 703 703 416 1624 1624 600 1625 1627 0 1628 1629 821 1630 1482 262 1483 1484 788 1485 1485 267 1486 1486 1011 1012 244 1013 1013 543 1014 1014 600 1015 556 603 603 572 604 604 531 605 605 364 2836 2836 684 2837 2837 367 2838 2839 687 2840 Mathster; Corbett Maths 1299 2979 2979 759 2980 2980 816 2981 2981 656 2848 333 2849 2849 277 2850 2853 333 2854 2855 3290 578 3291 3298 222 3299 3306 546 3307 3310 /Outlines 67 0 R 222 1232 1232 777 1233 1233 556 1234 1234 777 2491 2491 556 2492 2492 222 2493 2498 833 2499 1752 1752 889 1753 1753 777 1754 1754 556 1755 >> 981 982 581 983 983 267 984 984 262 985 1268 854 1269 1269 669 1270 1270 666 1271 1271 244 1382 1382 562 1383 1383 525 1384 1385 529 1538 207 1539 1540 506 1541 1542 207 1543 1544 500 3026 3026 333 3027 3027 250 3028 3028 166 1862 552 1863 1863 556 1864 1864 790 1865 1865 Contents. Q Learn about and revise how to display data on various charts and diagrams with this BBC Bitesize GCSE Maths Edexcel study guide. %PDF-1.4 3173 506 3174 3175 207 3176 3179 488 3180 3181 /Pages 68 0 R 352 689 689 574 690 690 529 691 691 566 236 556 237 238 583 239 241 333 242 244 /Height 486 endobj 1989 382 1990 1994 542 1995 1995 382 1996 2000 806 750 807 807 562 808 808 525 809 810 /BaseFont /Times-Bold 6 The table shows some information about the maths scores of students in class A. /W [ 1 1 0 2 4 277 5 5 354 6 /Type /Font 4.9 68 customer reviews. 777 423 423 556 424 424 722 425 425 556 500 1683 1683 722 1684 1684 809 1685 1685 656 556 645 645 437 646 646 500 647 647 552 1707 1707 556 1708 1709 666 1710 1710 500 1711 556 172 173 666 174 174 777 176 176 943 606 606 583 607 607 556 608 608 668 609 Calculating similarly for the remaining groups we get: Plotting this data, our histogram will look like this: First we must calculate the frequency density for each group by dividing the frequency by the group width. 556 1202 1202 666 1203 1203 556 1204 1204 666 73 0 obj 0000056066 00000 n 902 432 903 903 207 904 904 229 905 905 458 3225 3225 650 3226 3226 222 3227 3227 500 601 1505 1506 394 1507 1508 601 1509 1510 394 1586 1586 638 1587 1587 588 1588 1588 638 1589 To draw a histogram for this information, first find the class width of each category. 262 3066 3066 289 3067 3073 0 3074 3075 713 0 /Length 227 0000069885 00000 n 2236 2236 736 2237 2237 553 2238 2238 463 2239 2929 429 2930 2930 511 2931 2931 382 2932 2932 1721 610 1722 1722 500 1723 1724 610 1725 1726 0000032486 00000 n Looking at the second group, we have a frequency of 9 and a width of 15. 0 3401 3401 732 3402 3402 596 3403 3403 1037 0000075782 00000 n /Iabc59 94 0 R 722 57 57 666 58 58 943 59 60 666 0000070650 00000 n 655 1252 1252 857 1253 1253 655 1254 1254 857 624 2284 2284 722 2285 2285 500 2286 2286 503 /Parent 68 0 R /Ascent 728 2453 666 2454 2454 556 2455 2455 666 2456 2456 2225 2225 576 2226 2226 890 2227 2227 833 2228 1928 320 1929 1929 190 1930 1930 354 1931 1933 3273 372 3274 3274 371 3275 3275 377 3276 3276 604 402 403 354 404 404 604 405 405 354 0000069350 00000 n 3397 943 3398 3398 722 3399 3399 702 3400 3400 3114 3115 488 3116 3117 821 3118 3119 530 3120 520 2833 2833 666 2834 2834 681 2835 2835 349 355 1853 1853 327 1854 1854 303 1855 1855 222 599 718 600 600 1010 601 601 722 602 602 /Length 3136 190 11 12 333 13 13 389 14 14 583 556 1884 1884 568 1885 1885 546 1886 1886 500 2373 2373 666 2374 2374 520 2375 2375 885 2376 /Subtype /Image /N 16 69 40 2519 722 2520 2520 333 2521 2521 722 2522 2522 556 131 131 399 132 134 556 135 135 350 2277 2277 833 2278 2278 612 2279 2279 1190 2280 854 1133 1133 669 1134 1149 0 1150 1150 513 2335 552 2336 2336 666 2337 2337 520 2338 2338 556 2299 2299 670 2300 2300 548 2301 2301 604 /Type /Font 667 508 508 666 509 509 610 510 510 722 /Font << 1265 1265 669 1266 1266 854 1267 1267 669 1268 1225 1225 556 1226 1226 666 1227 1227 556 1228 1832 500 1833 1835 556 1836 1836 738 1837 1838 << 3005 609 3006 3006 745 3007 3007 655 3008 3008 722 1305 1305 552 1306 1306 556 1307 1307 500 The table gives some information about the speeds, in km/h, of 100 cars. 76 77 222 78 78 500 79 79 222 80 0000067723 00000 n 82 0 obj 556 1292 1295 0 1296 1296 541 1297 1297 364 endstream 333 3415 65534 610 ] ] 333 2802 2806 780 2807 2807 924 2808 2808 826 712 3208 3208 500 3209 3209 222 3210 3210 833 581 1325 1330 244 1331 1331 269 1332 1333 0 695 549 696 696 509 697 697 694 698 698 721 721 602 722 722 286 723 723 411 724 1023 1024 0 1025 1027 750 1028 1029 0 1030 2091 382 2092 2096 542 2097 2097 382 2098 2102 262 1487 1490 581 1491 1492 1155 1493 1494 906 /Iabc22 85 0 R /BaseFont /Helvetica-Oblique 2940 599 2941 2942 377 2943 2944 371 2945 2946 /Iabc16 83 0 R 80 833 81 84 556 85 85 333 86 86 1762 1762 556 1763 1763 610 1764 1764 544 1765 2711 2718 556 2719 2720 819 2721 2726 1015 2727 880 1694 1694 222 1695 1695 277 1696 1696 666 398 354 399 399 885 400 400 323 401 401 638 822 822 588 823 823 375 824 838 750 327 625 328 372 708 373 373 729 374 374 x 30 30 x 50 70 100 Draw a histogram for this data. 500 3048 3048 580 3049 3053 0 3054 3054 568 222 3311 3314 546 3315 3315 543 3316 3316 600 617 617 541 618 618 556 619 619 500 620 2936 2936 622 2937 2938 372 2939 2939 376 2940 /Iabc91 101 0 R So we need to draw a bar which goes from 0 to 20 on the \(\text{x}\)-axis and up to 0.2 on the \(\text{y}\)–axis. 3120 543 3121 3121 450 3122 3122 525 3123 3123 3408 190 3409 3410 500 3411 3413 277 3414 3414 542 2001 2001 382 2002 2006 542 2007 2007 382 endobj 251 722 252 252 500 253 253 722 254 254 1301 437 1302 1302 582 1303 1303 437 1304 1304 2953 354 2954 2956 377 2957 2957 219 2958 2958 500 255 255 556 256 256 552 257 257 333 1611 0 1612 1612 1123 1613 1613 1084 1614 1619 To do this, first you must choose a standard width of the groups. 2982 2982 238 2983 2983 543 2984 2992 0 2993 stream Read more. 292 556 293 293 722 294 294 556 295 295 1631 530 1632 1633 1098 1634 1635 846 1636 1636 Answers can be found by clicking on the link at the bottom of each worksheet. 3203 568 3204 3205 556 3206 3206 277 3207 3207 2325 277 2326 2326 923 2327 2327 668 2328 2328 418 2933 2933 451 2934 2934 432 2935 2935 429 You must work out the relative frequency before you can draw a histogram. 2386 909 2387 2387 1034 2388 2388 878 2389 2389 942 3355 3355 489 3356 3356 500 3357 3357 556 1775 666 1776 1776 556 1777 1777 666 1778 1778 The Corbettmaths Practice Questions on Histograms. 672 672 562 673 673 541 674 674 398 675 2260 695 2261 2261 828 2262 2262 685 2263 2263 /T 201310 The California Common Core State Standards: Mathematics (CA CCSSM) were modified January 16, 2013, /Fabc8 9 Tf 0000068242 00000 n 3192 500 3193 3193 277 3194 3194 500 3195 3195 1275 1275 500 1276 1276 666 1277 1277 556 1278 1876 1876 500 1877 1877 222 1878 1878 259 1879 /Size 109 443 443 722 444 444 556 445 445 723 446 >> 682 682 509 683 683 460 684 684 462 685 2218 722 2219 2219 500 2220 2220 610 2221 2221 453 453 666 454 454 500 455 455 610 456 /Iabc38 89 0 R 1734 583 1735 1735 277 1736 1736 1333 1737 1737 1890 500 1891 1891 541 1892 1893 544 1894 1897 0000000012 00000 n 669 1262 1262 854 1263 1263 669 1264 1264 854 Pie Charts: Worksheets with Answers - Mr Barton Maths. 667 2329 2329 550 2330 2330 656 2331 2331 583 69 0 obj /XObject << 2809 2809 894 2810 2810 796 2811 2811 747 2812 1718 1718 722 1719 1719 772 1720 1720 500 1721 75 0 obj 500 2232 2233 666 2234 2234 609 2235 2235 596 556 2553 2553 722 2554 2554 556 2555 2555 666 556 1282 1282 722 1283 1283 556 1284 1284 722 258 258 666 259 259 556 260 260 666 261 821 3182 3183 530 3184 3185 556 3186 3186 277 1348 1351 432 1352 1352 638 1353 1353 588 1354 226 666 227 227 500 228 228 610 229 229 /Iabc95 102 0 R 656 572 572 666 573 573 541 574 574 677 166 556 167 167 548 168 168 611 169 170 /Encoding /Identity-H 2897 458 2898 2898 546 2899 2899 596 2900 2900 777 1704 1704 868 1705 1705 667 1706 1706 754 I did this as a total coverage of histograms - hope it's of some use. 500 2573 2573 610 2574 2574 500 2575 2575 556 261 556 262 262 722 263 263 614 264 264 525 747 526 526 277 527 527 666 528 528 722 276 276 556 277 277 722 278 278 556 620 458 621 621 500 622 622 822 623 623 50 50 777 51 51 666 52 52 777 53 3149 3149 932 3150 3150 394 3151 3151 514 3152 103 103 777 104 104 722 105 110 556 111 3215 386 3216 3218 500 3219 3222 556 3223 3224 511 511 277 512 512 666 513 513 667 514 And best of all they all (well, most!) 1887 1887 722 1888 1888 500 1889 1889 519 1890 This video explains how to read histograms and answer typical GCSE questions on them. 968 2380 2380 876 2381 2381 956 2382 2382 815 3246 157 3247 3247 274 3248 3249 571 3250 3251 2869 2869 556 2870 2870 496 2871 2871 747 2872 << 777 2390 2390 558 2391 2391 746 2392 2392 665 Interpreting distributions from histograms. 500 541 541 576 542 542 500 543 543 447 0 668 668 274 669 670 0 671 671 277 Histogram: a graphical 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