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A wholesale distributor operating in different regions of Portugal has information on annual spending of several items in their stores across different regions and channels.

A wholesale distributor operating in different regions of Portugal has information on annual spending of several items in their stores across different regions and channels. The data consists of 440 large retailers' annual spending on 6 different varieties of products in 3 different regions (Lisbon, Oporto, Other) and across different sales channel (Hotel, Retail).

1.1Use methods of descriptive statistics to summarize data.Which Region and which Channel spent the most? Which Region and which Channel spent the least?

1.2There are 6 different varieties of items that are considered. Describe and comment/explain all the varieties across Region and Channel? Provide a detailed justification for your answer.

1.3On the basis of a descriptive measure of variability, which item shows the most inconsistent behaviour? Which items show the least inconsistent behaviour?

1.4Are there any outliers in the data? Back up your answer with a suitable plot/technique with the help of detailed comments.

1.5On the basis of your analysis, what are your recommendations for the business? How can your analysis help the business to solve its problem? Answer from the business perspective

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Data:

Buyer/Spender Channel Region Fresh Milk Grocery Frozen Detergents_Paper Delicatessen 1 Retail Other 12669 9656 7561 214 2674 1338 2 Retail Other 7057 9810 9568 1762 3293 1776 3 Retail Other 6353 8808 7684 2405 3516 7844 4 Hotel Other 13265 1196 4221 6404 507 1788 5 Retail Other 22615 5410 7198 3915 1777 5185 6 Retail Other 9413 8259 5126 666 1795 1451 7 Retail Other 12126 3199 6975 480 3140 545 8 Retail Other 7579 4956 9426 1669 3321 2566 9 Hotel Other 5963 3648 6192 425 1716 750 10 Retail Other 6006 11093 18881 1159 7425 2098 11 Retail Other 3366 5403 12974 4400 5977 1744 12 Retail Other 13146 1124 4523 1420 549 497 13 Retail Other 31714 12319 11757 287 3881 2931 14 Retail Other 21217 6208 14982 3095 6707 602 15 Retail Other 24653 9465 12091 294 5058 2168 16 Hotel Other 10253 1114 3821 397 964 412 17 Retail Other 1020 8816 12121 134 4508 1080 18 Hotel Other 5876 6157 2933 839 370 4478 19 Retail Other 18601 6327 10099 2205 2767 3181 20 Hotel Other 7780 2495 9464 669 2518 501 21 Retail Other 17546 4519 4602 1066 2259 2124 22 Hotel Other 5567 871 2010 3383 375 569 23 Hotel Other 31276 1917 4469 9408 2381 4334 24 Retail Other 26373 36423 22019 5154 4337 16523 25 Retail Other 22647 9776 13792 2915 4482 5778 26 Retail Other 16165 4230 7595 201 4003 57 27 Hotel Other 9898 961 2861 3151 242 833 28 Hotel Other 14276 803 3045 485 100 518 29 Retail Other 4113 20484 25957 1158 8604 5206 30 Hotel Other 43088 2100 2609 1200 1107 823 31 Hotel Other 18815 3610 11107 1148 2134 2963 32 Hotel Other 2612 4339 3133 2088 820 985 33 Hotel Other 21632 1318 2886 266 918 405 34 Hotel Other 29729 4786 7326 6130 361 1083 35 Hotel Other 1502 1979 2262 425 483 395 36 Retail Other 688 5491 11091 833 4239 436 37 Hotel Other 29955 4362 5428 1729 862 4626 38 Retail Other 15168 10556 12477 1920 6506 714 39 Retail Other 4591 15729 16709 33 6956 433 40 Hotel Other 56159 555 902 10002 212 2916 41 Hotel Other 24025 4332 4757 9510 1145 5864 42 Hotel Other 19176 3065 5956 2033 2575 2802 43 Retail Other 10850 7555 14961 188 6899 46 44 Retail Other 630 11095 23998 787 9529 72 45 Retail Other 9670 7027 10471 541 4618 65 46 Retail Other 5181 22044 21531 1740 7353 4985 47 Retail Other 3103 14069 21955 1668 6792 1452 48 Retail Other 44466 54259 55571 7782 24171 6465 49 Retail Other 11519 6152 10868 584 5121 1476 50 Retail Other 4967 21412 28921 1798 13583 1163 51 Hotel Other 6269 1095 1980 3860 609 2162 52 Hotel Other 3347 4051 6996 239 1538 301 53 Retail Other 40721 3916 5876 532 2587 1278 54 Retail Other 491 10473 11532 744 5611 224 55 Hotel Other 27329 1449 1947 2436 204 1333 56 Hotel Other 5264 3683 5005 1057 2024 1130 57 Retail Other 4098 29892 26866 2616 17740 1340 58 Retail Other 5417 9933 10487 38 7572 1282 59 Hotel Other 13779 1970 1648 596 227 436 60 Hotel Other 6137 5360 8040 129 3084 1603 61 Retail Other 8590 3045 7854 96 4095 225 62 Retail Other 35942 38369 59598 3254 26701 2017 63 Retail Other 7823 6245 6544 4154 4074 964 64 Retail Other 9396 11601 15775 2896 7677 1295 65 Hotel Other 4760 1227 3250 3724 1247 1145 66 Retail Other 85 20959 45828 36 24231 1423 67 Hotel Other 9 1534 7417 175 3468 27 68 Retail Other 19913 6759 13462 1256 5141 834 69 Hotel Other 2446 7260 3993 5870 788 3095 70 Hotel Other 8352 2820 1293 779 656 144 71 Hotel Other 16705 2037 3202 10643 116 1365 72 Hotel Other 18291 1266 21042 5373 4173 14472 73 Hotel Other 4420 5139 2661 8872 1321 181 74 Retail Other 19899 5332 8713 8132 764 648 75 Retail Other 8190 6343 9794 1285 1901 1780 76 Hotel Other 20398 1137 3 4407 3 975 77 Hotel Other 717 3587 6532 7530 529 894 78 Retail Other 12205 12697 28540 869 12034 1009 79 Hotel Other 10766 1175 2067 2096 301 167 80 Hotel Other 1640 3259 3655 868 1202 1653 81 Hotel Other 7005 829 3009 430 610 529 82 Retail Other 219 9540 14403 283 7818 156 83 Retail Other 10362 9232 11009 737 3537 2342 84 Hotel Other 20874 1563 1783 2320 550 772 85 Retail Other 11867 3327 4814 1178 3837 120 86 Retail Other 16117 46197 92780 1026 40827 2944 87 Retail Other 22925 73498 32114 987 20070 903 88 Hotel Other 43265 5025 8117 6312 1579 14351 89 Hotel Other 7864 542 4042 9735 165 46 90 Hotel Other 24904 3836 5330 3443 454 3178 91 Hotel Other 11405 596 1638 3347 69 360 92 Hotel Other 12754 2762 2530 8693 627 1117 93 Retail Other 9198 27472 32034 3232 18906 5130 94 Hotel Other 11314 3090 2062 35009 71 2698 95 Retail Other 5626 12220 11323 206 5038 244 96 Hotel Other 3 2920 6252 440 223 709 97 Retail Other 23 2616 8118 145 3874 217 98 Hotel Other 403 254 610 774 54 63 99 Hotel Other 503 112 778 895 56 132 100 Hotel Other 9658 2182 1909 5639 215 323 101 Retail Other 11594 7779 12144 3252 8035 3029 102 Retail Other 1420 10810 16267 1593 6766 1838 103 Retail Other 2932 6459 7677 2561 4573 1386 104 Hotel Other 56082 3504 8906 18028 1480 2498 105 Hotel Other 14100 2132 3445 1336 1491 548 106 Hotel Other 15587 1014 3970 910 139 1378 107 Retail Other 1454 6337 10704 133 6830 1831 108 Retail Other 8797 10646 14886 2471 8969 1438 109 Retail Other 1531 8397 6981 247 2505 1236 110 Retail Other 1406 16729 28986 673 836 3 111 Hotel Other 11818 1648 1694 2276 169 1647 112 Retail Other 12579 11114 17569 805 6457 1519 113 Hotel Other 19046 2770 2469 8853 483 2708 114 Hotel Other 14438 2295 1733 3220 585 1561 115 Hotel Other 18044 1080 2000 2555 118 1266 116 Hotel Other 11134 793 2988 2715 276 610 117 Hotel Other 11173 2521 3355 1517 310 222 118 Hotel Other 6990 3880 5380 1647 319 1160 119 Hotel Other 20049 1891 2362 5343 411 933 120 Hotel Other 8258 2344 2147 3896 266 635 121 Hotel Other 17160 1200 3412 2417 174 1136 122 Hotel Other 4020 3234 1498 2395 264 255 123 Hotel Other 12212 201 245 1991 25 860 124 Retail Other 11170 10769 8814 2194 1976 143 125 Hotel Other 36050 1642 2961 4787 500 1621 126 Hotel Other 76237 3473 7102 16538 778 918 127 Hotel Other 19219 1840 1658 8195 349 483 128 Retail Other 21465 7243 10685 880 2386 2749 129 Hotel Other 140 8847 3823 142 1062 3 130 Hotel Other 42312 926 1510 1718 410 1819 131 Hotel Other 7149 2428 699 6316 395 911 132 Hotel Other 2101 589 314 346 70 310 133 Hotel Other 14903 2032 2479 576 955 328 134 Hotel Other 9434 1042 1235 436 256 396 135 Hotel Other 7388 1882 2174 720 47 537 136 Hotel Other 6300 1289 2591 1170 199 326 137 Hotel Other 4625 8579 7030 4575 2447 1542 138 Hotel Other 3087 8080 8282 661 721 36 139 Hotel Other 13537 4257 5034 155 249 3271 140 Hotel Other 5387 4979 3343 825 637 929 141 Hotel Other 17623 4280 7305 2279 960 2616 142 Hotel Other 30379 13252 5189 321 51 1450 143 Hotel Other 37036 7152 8253 2995 20 3 144 Hotel Other 10405 1596 1096 8425 399 318 145 Hotel Other 18827 3677 1988 118 516 201 146 Retail Other 22039 8384 34792 42 12591 4430 147 Hotel Other 7769 1936 2177 926 73 520 148 Hotel Other 9203 3373 2707 1286 1082 526 149 Hotel Other 5924 584 542 4052 283 434 150 Hotel Other 31812 1433 1651 800 113 1440 151 Hotel Other 16225 1825 1765 853 170 1067 152 Hotel Other 1289 3328 2022 531 255 1774 153 Hotel Other 18840 1371 3135 3001 352 184 154 Hotel Other 3463 9250 2368 779 302 1627 155 Hotel Other 622 55 137 75 7 8 156 Retail Other 1989 10690 19460 233 11577 2153 157 Retail Other 3830 5291 14855 317 6694 3182 158 Hotel Other 17773 1366 2474 3378 811 418 159 Retail Other 2861 6570 9618 930 4004 1682 160 Retail Other 355 7704 14682 398 8077 303 161 Retail Other 1725 3651 12822 824 4424 2157 162 Hotel Other 12434 540 283 1092 3 2233 163 Hotel Other 15177 2024 3810 2665 232 610 164 Retail Other 5531 15726 26870 2367 13726 446 165 Retail Other 5224 7603 8584 2540 3674 238 166 Retail Other 15615 12653 19858 4425 7108 2379 167 Retail Other 4822 6721 9170 993 4973 3637 168 Hotel Other 2926 3195 3268 405 1680 693 169 Hotel Other 5809 735 803 1393 79 429 170 Hotel Other 5414 717 2155 2399 69 750 171 Retail Other 260 8675 13430 1116 7015 323 172 Retail Other 200 25862 19816 651 8773 6250 173 Hotel Other 955 5479 6536 333 2840 707 174 Retail Other 514 7677 19805 937 9836 716 175 Hotel Other 286 1208 5241 2515 153 1442 176 Retail Other 2343 7845 11874 52 4196 1697 177 Hotel Other 45640 6958 6536 7368 1532 230 178 Hotel Other 12759 7330 4533 1752 20 2631 179 Hotel Other 11002 7075 4945 1152 120 395 180 Hotel Other 3157 4888 2500 4477 273 2165 181 Hotel Other 12356 6036 8887 402 1382 2794 182 Hotel Other 112151 29627 18148 16745 4948 8550 183 Hotel Other 694 8533 10518 443 6907 156 184 Hotel Other 36847 43950 20170 36534 239 47943 185 Hotel Other 327 918 4710 74 334 11 186 Hotel Other 8170 6448 1139 2181 58 247 187 Hotel Other 3009 521 854 3470 949 727 188 Hotel Other 2438 8002 9819 6269 3459 3 189 Retail Other 8040 7639 11687 2758 6839 404 190 Retail Other 834 11577 11522 275 4027 1856 191 Hotel Other 16936 6250 1981 7332 118 64 192 Hotel Other 13624 295 1381 890 43 84 193 Hotel Other 5509 1461 2251 547 187 409 194 Retail Other 180 3485 20292 959 5618 666 195 Hotel Other 7107 1012 2974 806 355 1142 196 Hotel Other 17023 5139 5230 7888 330 1755 197 Hotel Lisbon 30624 7209 4897 18711 763 2876 198 Retail Lisbon 2427 7097 10391 1127 4314 1468 199 Hotel Lisbon 11686 2154 6824 3527 592 697 200 Hotel Lisbon 9670 2280 2112 520 402 347 201 Retail Lisbon 3067 13240 23127 3941 9959 731 202 Retail Lisbon 4484 14399 24708 3549 14235 1681 203 Hotel Lisbon 25203 11487 9490 5065 284 6854 204 Hotel Lisbon 583 685 2216 469 954 18 205 Hotel Lisbon 1956 891 5226 1383 5 1328 206 Retail Lisbon 1107 11711 23596 955 9265 710 207 Hotel Lisbon 6373 780 950 878 288 285 208 Retail Lisbon 2541 4737 6089 2946 5316 120 209 Hotel Lisbon 1537 3748 5838 1859 3381 806 210 Retail Lisbon 5550 12729 16767 864 12420 797 211 Hotel Lisbon 18567 1895 1393 1801 244 2100 212 Retail Lisbon 12119 28326 39694 4736 19410 2870 213 Hotel Lisbon 7291 1012 2062 1291 240 1775 214 Hotel Lisbon 3317 6602 6861 1329 3961 1215 215 Retail Lisbon 2362 6551 11364 913 5957 791 216 Hotel Lisbon 2806 10765 15538 1374 5828 2388 217 Retail Lisbon 2532 16599 36486 179 13308 674 218 Hotel Lisbon 18044 1475 2046 2532 130 1158 219 Retail Lisbon 18 7504 15205 1285 4797 6372 220 Hotel Lisbon 4155 367 1390 2306 86 130 221 Hotel Lisbon 14755 899 1382 1765 56 749 222 Hotel Lisbon 5396 7503 10646 91 4167 239 223 Hotel Lisbon 5041 1115 2856 7496 256 375 224 Retail Lisbon 2790 2527 5265 5612 788 1360 225 Hotel Lisbon 7274 659 1499 784 70 659 226 Hotel Lisbon 12680 3243 4157 660 761 786 227 Retail Lisbon 20782 5921 9212 1759 2568 1553 228 Hotel Lisbon 4042 2204 1563 2286 263 689 229 Hotel Lisbon 1869 577 572 950 4762 203 230 Hotel Lisbon 8656 2746 2501 6845 694 980 231 Retail Lisbon 11072 5989 5615 8321 955 2137 232 Hotel Lisbon 2344 10678 3828 1439 1566 490 233 Hotel Lisbon 25962 1780 3838 638 284 834 234 Hotel Lisbon 964 4984 3316 937 409 7 235 Hotel Lisbon 15603 2703 3833 4260 325 2563 236 Hotel Lisbon 1838 6380 2824 1218 1216 295 237 Hotel Lisbon 8635 820 3047 2312 415 225 238 Hotel Lisbon 18692 3838 593 4634 28 1215 239 Hotel Lisbon 7363 475 585 1112 72 216 240 Hotel Lisbon 47493 2567 3779 5243 828 2253 241 Hotel Lisbon 22096 3575 7041 11422 343 2564 242 Hotel Lisbon 24929 1801 2475 2216 412 1047 243 Hotel Lisbon 18226 659 2914 3752 586 578 244 Hotel Lisbon 11210 3576 5119 561 1682 2398 245 Hotel Lisbon 6202 7775 10817 1183 3143 1970 246 Retail Lisbon 3062 6154 13916 230 8933 2784 247 Hotel Lisbon 8885 2428 1777 1777 430 610 248 Hotel Lisbon 13569 346 489 2077 44 659 249 Hotel Lisbon 15671 5279 2406 559 562 572 250 Hotel Lisbon 8040 3795 2070 6340 918 291 251 Hotel Lisbon 3191 1993 1799 1730 234 710 252 Retail Lisbon 6134 23133 33586 6746 18594 5121 253 Hotel Lisbon 6623 1860 4740 7683 205 1693 254 Hotel Lisbon 29526 7961 16966 432 363 1391 255 Hotel Lisbon 10379 17972 4748 4686 1547 3265 256 Hotel Lisbon 31614 489 1495 3242 111 615 257 Hotel Lisbon 11092 5008 5249 453 392 373 258 Hotel Lisbon 8475 1931 1883 5004 3593 987 259 Hotel Lisbon 56083 4563 2124 6422 730 3321 260 Hotel Lisbon 53205 4959 7336 3012 967 818 261 Hotel Lisbon 9193 4885 2157 327 780 548 262 Hotel Lisbon 7858 1110 1094 6818 49 287 263 Hotel Lisbon 23257 1372 1677 982 429 655 264 Hotel Lisbon 2153 1115 6684 4324 2894 411 265 Retail Lisbon 1073 9679 15445 61 5980 1265 266 Hotel Lisbon 5909 23527 13699 10155 830 3636 267 Retail Lisbon 572 9763 22182 2221 4882 2563 268 Hotel Lisbon 20893 1222 2576 3975 737 3628 269 Retail Lisbon 11908 8053 19847 1069 6374 698 270 Hotel Lisbon 15218 258 1138 2516 333 204 271 Hotel Lisbon 4720 1032 975 5500 197 56 272 Hotel Lisbon 2083 5007 1563 1120 147 1550 273 Hotel Lisbon 514 8323 6869 529 93 1040 274 Hotel Other 36817 3045 1493 4802 210 1824 275 Hotel Other 894 1703 1841 744 759 1153 276 Hotel Other 680 1610 223 862 96 379 277 Hotel Other 27901 3749 6964 4479 603 2503 278 Hotel Other 9061 829 683 16919 621 139 279 Hotel Other 11693 2317 2543 5845 274 1409 280 Retail Other 17360 6200 9694 1293 3620 1721 281 Hotel Other 3366 2884 2431 977 167 1104 282 Retail Other 12238 7108 6235 1093 2328 2079 283 Hotel Other 49063 3965 4252 5970 1041 1404 284 Hotel Other 25767 3613 2013 10303 314 1384 285 Hotel Other 68951 4411 12609 8692 751 2406 286 Hotel Other 40254 640 3600 1042 436 18 287 Hotel Other 7149 2247 1242 1619 1226 128 288 Hotel Other 15354 2102 2828 8366 386 1027 289 Hotel Other 16260 594 1296 848 445 258 290 Hotel Other 42786 286 471 1388 32 22 291 Hotel Other 2708 2160 2642 502 965 1522 292 Hotel Other 6022 3354 3261 2507 212 686 293 Hotel Other 2838 3086 4329 3838 825 1060 294 Retail Oporto 3996 11103 12469 902 5952 741 295 Hotel Oporto 21273 2013 6550 909 811 1854 296 Retail Oporto 7588 1897 5234 417 2208 254 297 Hotel Oporto 19087 1304 3643 3045 710 898 298 Retail Oporto 8090 3199 6986 1455 3712 531 299 Retail Oporto 6758 4560 9965 934 4538 1037 300 Hotel Oporto 444 879 2060 264 290 259 301 Retail Oporto 16448 6243 6360 824 2662 2005 302 Retail Oporto 5283 13316 20399 1809 8752 172 303 Retail Oporto 2886 5302 9785 364 6236 555 304 Retail Oporto 2599 3688 13829 492 10069 59 305 Retail Oporto 161 7460 24773 617 11783 2410 306 Retail Oporto 243 12939 8852 799 3909 211 307 Retail Oporto 6468 12867 21570 1840 7558 1543 308 Hotel Oporto 17327 2374 2842 1149 351 925 309 Hotel Oporto 6987 1020 3007 416 257 656 310 Retail Oporto 918 20655 13567 1465 6846 806 311 Hotel Oporto 7034 1492 2405 12569 299 1117 312 Hotel Oporto 29635 2335 8280 3046 371 117 313 Retail Oporto 2137 3737 19172 1274 17120 142 314 Hotel Oporto 9784 925 2405 4447 183 297 315 Hotel Oporto 10617 1795 7647 1483 857 1233 316 Retail Oporto 1479 14982 11924 662 3891 3508 317 Hotel Oporto 7127 1375 2201 2679 83 1059 318 Hotel Oporto 1182 3088 6114 978 821 1637 319 Hotel Oporto 11800 2713 3558 2121 706 51 320 Retail Oporto 9759 25071 17645 1128 12408 1625 321 Hotel Oporto 1774 3696 2280 514 275 834 322 Hotel Oporto 9155 1897 5167 2714 228 1113 323 Hotel Oporto 15881 713 3315 3703 1470 229 324 Hotel Oporto 13360 944 11593 915 1679 573 325 Hotel Oporto 25977 3587 2464 2369 140 1092 326 Hotel Oporto 32717 16784 13626 60869 1272 5609 327 Hotel Oporto 4414 1610 1431 3498 387 834 328 Hotel Oporto 542 899 1664 414 88 522 329 Hotel Oporto 16933 2209 3389 7849 210 1534 330 Hotel Oporto 5113 1486 4583 5127 492 739 331 Hotel Oporto 9790 1786 5109 3570 182 1043 332 Retail Oporto 11223 14881 26839 1234 9606 1102 333 Hotel Oporto 22321 3216 1447 2208 178 2602 334 Retail Oporto 8565 4980 67298 131 38102 1215 335 Retail Oporto 16823 928 2743 11559 332 3486 336 Retail Oporto 27082 6817 10790 1365 4111 2139 337 Hotel Oporto 13970 1511 1330 650 146 778 338 Hotel Oporto 9351 1347 2611 8170 442 868 339 Hotel Oporto 3 333 7021 15601 15 550 340 Hotel Oporto 2617 1188 5332 9584 573 1942 341 Retail Other 381 4025 9670 388 7271 1371 342 Retail Other 2320 5763 11238 767 5162 2158 343 Hotel Other 255 5758 5923 349 4595 1328 344 Retail Other 1689 6964 26316 1456 15469 37 345 Hotel Other 3043 1172 1763 2234 217 379 346 Hotel Other 1198 2602 8335 402 3843 303 347 Retail Other 2771 6939 15541 2693 6600 1115 348 Retail Other 27380 7184 12311 2809 4621 1022 349 Hotel Other 3428 2380 2028 1341 1184 665 350 Retail Other 5981 14641 20521 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