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MATLAB Question : The birthday data posted on Blackboard gives the distribution of birthdays for births in the U.S. in 1978. It was used by Professor Geoffrey Berresford in his article: "The uniformity assumption in the birthday problem, Math. Mag. 53 1980, no. 5, 286-288." If you plot a times series of the data you will have a nice example of periodic data. Plot the number of births against the day number (days 1-365). Using your function from problem 3, plot the stem plot and determine how often we would expect a peak in numbers of births. What does it mean that the largest mode is at a mode number of 0? Here is Birthdata .txt file

1/1/1978 1 7701 1/2/1978 2 7527 1/3/1978 3 8825 1/4/1978 4 8859 1/5/1978 5 9043 1/6/1978 6 9208 1/7/1978 7 8084 1/8/1978 8 7611 1/9/1978 9 9172 1/10/1978 10 9089 1/11/1978 11 9210 1/12/1978 12 9259 1/13/1978 13 9138 1/14/1978 14 8299 1/15/1978 15 7771 1/16/1978 16 9458 1/17/1978 17 9339 1/18/1978 18 9120 1/19/1978 19 9226 1/20/1978 20 9305 1/21/1978 21 7954 1/22/1978 22 7560 1/23/1978 23 9252 1/24/1978 24 9416 1/25/1978 25 9090 1/26/1978 26 9387 1/27/1978 27 8983 1/28/1978 28 7946 1/29/1978 29 7527 1/30/1978 30 9184 1/31/1978 31 9152 2/1/1978 32 9159 2/2/1978 33 9218 2/3/1978 34 9167 2/4/1978 35 8065 2/5/1978 36 7804 2/6/1978 37 9225 2/7/1978 38 9328 2/8/1978 39 9139 2/9/1978 40 9247 2/10/1978 41 9527 2/11/1978 42 8144 2/12/1978 43 7950 2/13/1978 44 8966 2/14/1978 45 9859 2/15/1978 46 9285 2/16/1978 47 9103 2/17/1978 48 9238 2/18/1978 49 8167 2/19/1978 50 7695 2/20/1978 51 9021 2/21/1978 52 9252 2/22/1978 53 9335 2/23/1978 54 9268 2/24/1978 55 9552 2/25/1978 56 8313 2/26/1978 57 7881 2/27/1978 58 9262 2/28/1978 59 9705 3/1/1978 60 9132 3/2/1978 61 9304 3/3/1978 62 9431 3/4/1978 63 8008 3/5/1978 64 7791 3/6/1978 65 9294 3/7/1978 66 9573 3/8/1978 67 9212 3/9/1978 68 9218 3/10/1978 69 9583 3/11/1978 70 8144 3/11/1978 70 8144 3/12/1978 71 7870 3/13/1978 72 9022 3/14/1978 73 9525 3/15/1978 74 9284 3/16/1978 75 9327 3/17/1978 76 9480 3/18/1978 77 7965 3/19/1978 78 7729 3/20/1978 79 9135 3/21/1978 80 9663 3/22/1978 81 9307 3/23/1978 82 9159 3/24/1978 83 9157 3/25/1978 84 7874 3/26/1978 85 7589 3/27/1978 86 9100 3/28/1978 87 9293 3/29/1978 88 9195 3/30/1978 89 8902 3/31/1978 90 9318 4/1/1978 91 8069 4/2/1978 92 7691 4/3/1978 93 9114 4/4/1978 94 9439 4/5/1978 95 8852 4/6/1978 96 8969 4/7/1978 97 9077 4/8/1978 98 7890 4/9/1978 99 7445 4/10/1978 100 8870 4/11/1978 101 9023 4/12/1978 102 8606 4/13/1978 103 8724 4/14/1978 104 9012 4/15/1978 105 7527 4/16/1978 106 7193 4/17/1978 107 8702 4/18/1978 108 9205 4/19/1978 109 8720 4/20/1978 110 8582 4/21/1978 111 8892 4/22/1978 112 7787 4/23/1978 113 7304 4/24/1978 114 9017 4/25/1978 115 9077 4/26/1978 116 9019 4/27/1978 117 8839 4/28/1978 118 9047 4/29/1978 119 7750 4/30/1978 120 7135 5/1/1978 121 8900 5/2/1978 122 9422 5/3/1978 123 9051 5/4/1978 124 8672 5/5/1978 125 9101 5/6/1978 126 7718 5/7/1978 127 7388 5/8/1978 128 8987 5/9/1978 129 9307 5/10/1978 130 9273 5/11/1978 131 8903 5/12/1978 132 8975 5/13/1978 133 7762 5/14/1978 134 7382 5/15/1978 135 9195 5/16/1978 136 9200 5/17/1978 137 8913 5/18/1978 138 9044 5/19/1978 139 9000 5/20/1978 140 8064 5/21/1978 141 7570 5/21/1978 141 7570 5/22/1978 142 9089 5/23/1978 143 9210 5/24/1978 144 9196 5/25/1978 145 9180 5/26/1978 146 9514 5/27/1978 147 8005 5/28/1978 148 7781 5/29/1978 149 7780 5/30/1978 150 9630 5/31/1978 151 9600 6/1/1978 152 9435 6/2/1978 153 9303 6/3/1978 154 7971 6/4/1978 155 7399 6/5/1978 156 9127 6/6/1978 157 9606 6/7/1978 158 9328 6/8/1978 159 9075 6/9/1978 160 9362 6/10/1978 161 8040 6/11/1978 162 7581 6/12/1978 163 9201 6/13/1978 164 9264 6/14/1978 165 9216 6/15/1978 166 9175 6/16/1978 167 9350 6/17/1978 168 8233 6/18/1978 169 7777 6/19/1978 170 9543 6/20/1978 171 9672 6/21/1978 172 9266 6/22/1978 173 9405 6/23/1978 174 9598 6/24/1978 175 8122 6/25/1978 176 8091 6/26/1978 177 9348 6/27/1978 178 9857 6/28/1978 179 9701 6/29/1978 180 9630 6/30/1978 181 10080 7/1/1978 182 8209 7/2/1978 183 7976 7/3/1978 184 9284 7/4/1978 185 8433 7/5/1978 186 9675 7/6/1978 187 10184 7/7/1978 188 10241 7/8/1978 189 8773 7/9/1978 190 8102 7/10/1978 191 9877 7/11/1978 192 9852 7/12/1978 193 9705 7/13/1978 194 9984 7/14/1978 195 10438 7/15/1978 196 8859 7/16/1978 197 8416 7/17/1978 198 10026 7/18/1978 199 10357 7/19/1978 200 10015 7/20/1978 201 10386 7/21/1978 202 10332 7/22/1978 203 9062 7/23/1978 204 8563 7/24/1978 205 9960 7/25/1978 206 10349 7/26/1978 207 10091 7/27/1978 208 10192 7/28/1978 209 10307 7/29/1978 210 8677 7/30/1978 211 8486 7/31/1978 212 9890 7/31/1978 212 9890 8/1/1978 213 10145 8/2/1978 214 9824 8/3/1978 215 10128 8/4/1978 216 10051 8/5/1978 217 8738 8/6/1978 218 8442 8/7/1978 219 10206 8/8/1978 220 10442 8/9/1978 221 10142 8/10/1978 222 10284 8/11/1978 223 10162 8/12/1978 224 8951 8/13/1978 225 8532 8/14/1978 226 10127 8/15/1978 227 10502 8/16/1978 228 10053 8/17/1978 229 10377 8/18/1978 230 10355 8/19/1978 231 8904 8/20/1978 232 8477 8/21/1978 233 9967 8/22/1978 234 10229 8/23/1978 235 9900 8/24/1978 236 10152 8/25/1978 237 10173 8/26/1978 238 8782 8/27/1978 239 8453 8/28/1978 240 9998 8/29/1978 241 10387 8/30/1978 242 10063 8/31/1978 243 9849 9/1/1978 244 10114 9/2/1978 245 8580 9/3/1978 246 8355 9/4/1978 247 8481 9/5/1978 248 10023 9/6/1978 249 10703 9/7/1978 250 10292 9/8/1978 251 10371 9/9/1978 252 9023 9/10/1978 253 8630 9/11/1978 254 10154 9/12/1978 255 10425 9/13/1978 256 10149 9/14/1978 257 10265 9/15/1978 258 10265 9/16/1978 259 9170 9/17/1978 260 8711 9/18/1978 261 10304 9/19/1978 262 10711 9/20/1978 263 10488 9/21/1978 264 10499 9/22/1978 265 10349 9/23/1978 266 8735 9/24/1978 267 8647 9/25/1978 268 10414 9/26/1978 269 10498 9/27/1978 270 10344 9/28/1978 271 10175 9/29/1978 272 10368 9/30/1978 273 8648 10/1/1978 274 8686 10/2/1978 275 9927 10/3/1978 276 10378 10/4/1978 277 9928 10/5/1978 278 9949 10/6/1978 279 10052 10/7/1978 280 8605 10/8/1978 281 8377 10/9/1978 282 9765 10/10/1978 283 10351 10/10/1978 283 10351 10/11/1978 284 9873 10/12/1978 285 9824 10/13/1978 286 9755 10/14/1978 287 8554 10/15/1978 288 7873 10/16/1978 289 9531 10/17/1978 290 9938 10/18/1978 291 9388 10/19/1978 292 9502 10/20/1978 293 9625 10/21/1978 294 8411 10/22/1978 295 7936 10/23/1978 296 9425 10/24/1978 297 9576 10/25/1978 298 9328 10/26/1978 299 9501 10/27/1978 300 9537 10/28/1978 301 8415 10/29/1978 302 8155 10/30/1978 303 9457 10/31/1978 304 9333 11/1/1978 305 9321 11/2/1978 306 9245 11/3/1978 307 9774 11/4/1978 308 8246 11/5/1978 309 8011 11/6/1978 310 9507 11/7/1978 311 9769 11/8/1978 312 9501 11/9/1978 313 9609 11/10/1978 314 9652 11/11/1978 315 8352 11/12/1978 316 7967 11/13/1978 317 9606 11/14/1978 318 10014 11/15/1978 319 9536 11/16/1978 320 9568 11/17/1978 321 9835 11/18/1978 322 8432 11/19/1978 323 7868 11/20/1978 324 9592 11/21/1978 325 9950 11/22/1978 326 9548 11/23/1978 327 7915 11/24/1978 328 9037 11/25/1978 329 8275 11/26/1978 330 8068 11/27/1978 331 9825 11/28/1978 332 9814 11/29/1978 333 9438 11/30/1978 334 9396 12/1/1978 335 9592 12/2/1978 336 8528 12/3/1978 337 8196 12/4/1978 338 9767 12/5/1978 339 9881 12/6/1978 340 9402 12/7/1978 341 9480 12/8/1978 342 9398 12/9/1978 343 8335 12/10/1978 344 8093 12/11/1978 345 9686 12/12/1978 346 10063 12/13/1978 347 9509 12/14/1978 348 9524 12/15/1978 349 9951 12/16/1978 350 8507 12/17/1978 351 8172 12/18/1978 352 10196 12/19/1978 353 10605 12/20/1978 354 9998 12/21/1978 355 9398 12/22/1978 356 9008 12/23/1978 357 7939 12/24/1978 358 7964 12/25/1978 359 7846 12/26/1978 360 8902 12/27/1978 361 9907 12/28/1978 362 10177 12/29/1978 363 10401 12/30/1978 364 8474 12/31/1978 365 8028