Based on historical data, daily demand of a product is normally distributed with a mean of 200 and standard deviation of 50. Develop a spreadsheet simulation model by simulating 300 observations of demand. After simulation freeze the simulated demand values. Use Analysis ToolPak ? Histogram create a histogram visualizing the demand distribution using bins: 100, 125, 150, 175,...,300. Use Analysis ToolPak ? Descriptive Statistics to compute the descriptive statistics metrics of the simulated values. Interpret skewness of the simulated demand.
Obs # | Observation |
1 | 182.1499728 |
2 | 173.7575536 |
3 | 222.9312036 |
4 | 184.6198762 |
5 | 97.30167727 |
6 | 214.0221346 |
7 | 203.5851144 |
8 | 202.7227998 |
9 | 180.9708697 |
10 | 238.0489951 |
11 | 162.5512146 |
12 | 240.4168077 |
13 | 211.1750751 |
14 | 204.1299018 |
15 | 237.3273679 |
16 | 127.3647973 |
17 | 264.0836788 |
18 | 183.6060738 |
19 | 154.3243803 |
20 | 179.9883881 |
21 | 241.3788257 |
22 | 288.6111593 |
23 | 180.7362201 |
24 | 224.5582328 |
25 | 155.2683221 |
26 | 211.9804895 |
27 | 252.7270458 |
28 | 205.9945933 |
29 | 234.0023121 |
30 | 223.8872531 |
31 | 207.8522362 |
32 | 198.0622079 |
33 | 241.6649755 |
34 | 252.5939186 |
35 | 199.8144631 |
36 | 163.1761511 |
37 | 161.0454893 |
38 | 219.1814138 |
39 | 249.9726411 |
40 | 175.3683824 |
41 | 234.485879 |
42 | 186.5577252 |
43 | 196.6756263 |
44 | 97.83191268 |
45 | 156.5715143 |
46 | 162.8744263 |
47 | 311.8633008 |
48 | 109.2092366 |
49 | 219.0743776 |
50 | 255.5877477 |
51 | 206.2103709 |
52 | 192.2329721 |
53 | 214.7277319 |
54 | 132.7640126 |
55 | 204.3256705 |
56 | 193.616143 |
57 | 268.1541223 |
58 | 202.4048745 |
59 | 178.365679 |
60 | 215.5446287 |
61 | 158.3999397 |
62 | 226.1371156 |
63 | 164.1721615 |
64 | 244.0960548 |
65 | 161.6848072 |
66 | 85.13991411 |
67 | 245.0694415 |
68 | 222.5875851 |
69 | 187.2899821 |
70 | 194.7136757 |
71 | 223.7929498 |
72 | 365.7608664 |
73 | 56.44171829 |
74 | 253.0617399 |
75 | 120.631808 |
76 | 217.1992838 |
77 | 195.8240551 |
78 | 193.4580046 |
79 | 108.463451 |
80 | 173.9943632 |
81 | 131.3583885 |
82 | 198.5367367 |
83 | 295.2795745 |
84 | 128.8381787 |
85 | 224.0331133 |
86 | 244.9718982 |
87 | 260.1139618 |
88 | 246.1537866 |
89 | 196.4647373 |
90 | 284.842668 |
91 | 169.497253 |
92 | 178.6215881 |
93 | 224.3168188 |
94 | 237.7024207 |
95 | 167.6282414 |
96 | 202.4048745 |
97 | 163.0103957 |
98 | 163.19616 |
99 | 200.3041123 |
100 | 179.7727241 |
101 | 268.8976343 |
102 | 163.6361281 |
103 | 227.854071 |
104 | 255.0236336 |
105 | 201.3484396 |
106 | 150.2788341 |
107 | 163.1007768 |
108 | 140.5736162 |
109 | 159.1682354 |
110 | 118.5408797 |
111 | 209.6233066 |
112 | 143.1308879 |
113 | 225.7301735 |
114 | 100.4912752 |
115 | 178.7012257 |
116 | 251.3724672 |
117 | 199.2215862 |
118 | 269.1256901 |
119 | 177.4251478 |
120 | 171.9581183 |
121 | 221.7352181 |
122 | 230.4796686 |
123 | 192.4226017 |
124 | 215.6369993 |
125 | 217.9642257 |
126 | 251.5609599 |
127 | 121.7704953 |
128 | 208.3172722 |
129 | 157.8785719 |
130 | 216.4747007 |
131 | 195.0327947 |
132 | 237.9264975 |
133 | 187.1674845 |
134 | 178.0080771 |
135 | 139.9568651 |
136 | 211.335942 |
137 | 197.4151024 |
138 | 288.4097062 |
139 | 171.148668 |
140 | 253.9364464 |
141 | 198.8772856 |
142 | 121.31211 |
143 | 244.2712462 |
144 | 153.0081141 |
145 | 234.1035502 |
146 | 268.7201691 |
147 | 207.4072091 |
148 | 165.0467544 |
149 | 245.0349944 |
150 | 177.1367811 |
151 | 175.2301392 |
152 | 231.0296855 |
153 | 133.4195309 |
154 | 177.0645331 |
155 | 218.0866664 |
156 | 178.1259703 |
157 | 238.8974968 |
158 | 95.02248354 |
159 | 212.6112809 |
160 | 175.9539833 |
161 | 172.5247903 |
162 | 300.1262717 |
163 | 215.9586762 |
164 | 189.7602834 |
165 | 235.556468 |
166 | 167.4298579 |
167 | 214.4722776 |
168 | 168.65904 |
169 | 260.7171842 |
170 | 208.9306695 |
171 | 203.6349661 |
172 | 149.9895011 |
173 | 222.9949819 |
174 | 217.9887252 |
175 | 196.0505193 |
176 | 200.7630661 |
177 | 174.1169177 |
178 | 168.4866339 |
179 | 211.8349135 |
180 | 220.5182005 |
181 | 227.0137548 |
182 | 142.5723445 |
183 | 246.5416861 |
184 | 193.7780331 |
185 | 139.3147618 |
186 | 258.0085953 |
187 | 227.4529839 |
188 | 159.5195277 |
189 | 138.6949412 |
190 | 204.2911097 |
191 | 183.9527618 |
192 | 204.5982915 |
193 | 193.0874424 |
194 | 226.7353357 |
195 | 289.1495802 |
196 | 215.7454565 |
197 | 157.7038352 |
198 | 223.6474307 |
199 | 194.8944378 |
200 | 185.7589046 |
201 | 199.5773123 |
202 | 284.9072421 |
203 | 176.6345127 |
204 | 160.9936481 |
205 | 188.0431005 |
206 | 143.6824965 |
207 | 242.9563443 |
208 | 212.3942527 |
209 | 153.8051725 |
210 | 246.9799488 |
211 | 190.0023795 |
212 | 187.8107815 |
213 | 199.6462066 |
214 | 208.2901011 |
215 | 185.2762471 |
216 | 146.1388143 |
217 | 259.3797722 |
218 | 155.2397867 |
219 | 200.7669314 |
220 | 268.2509835 |
221 | 265.845029 |
222 | 243.1836042 |
223 | 188.2751922 |
224 | 188.1257509 |
225 | 185.0963945 |
226 | 261.8522336 |
227 | 196.2730044 |
228 | 219.0044602 |
229 | 155.4506758 |
230 | 190.6687549 |
231 | 191.6594788 |
232 | 253.9705525 |
233 | 251.5024112 |
234 | 231.8499929 |
235 | 109.7994987 |
236 | 147.3927801 |
237 | 212.283806 |
238 | 88.64510669 |
239 | 214.1375835 |
240 | 177.7508037 |
241 | 318.7827365 |
242 | 89.67192621 |
243 | 119.3662461 |
244 | 224.3426825 |
245 | 243.456339 |
246 | 115.6375452 |
247 | 111.7724201 |
248 | 266.7198492 |
249 | 178.6257945 |
250 | 226.1809419 |
251 | 273.7179562 |
252 | 79.47558111 |
253 | 230.8351105 |
254 | 187.1160981 |
255 | 167.0458237 |
256 | 200.7592575 |
257 | 213.6922722 |
258 | 171.3021452 |
259 | 153.5702955 |
260 | 220.1732746 |
261 | 197.6870413 |
262 | 196.0505193 |
263 | 252.0253707 |
264 | 316.0706233 |
265 | 168.8590151 |
266 | 157.6326672 |
267 | 131.9522885 |
268 | 287.9028903 |
269 | 194.2518798 |
270 | 274.6258593 |
271 | 159.5726194 |
272 | 305.2567313 |
273 | 145.1931672 |
274 | 262.6995416 |
275 | 204.4830699 |
276 | 216.0713398 |
277 | 204.3256705 |
278 | 141.7734671 |
279 | 183.0440061 |
280 | 168.9239303 |
281 | 154.7292191 |
282 | 203.4854111 |
283 | 266.0093065 |
284 | 287.7776074 |
285 | 191.0343718 |
286 | 107.2515493 |
287 | 68.02140484 |
288 | 246.7130121 |
289 | 187.9328811 |
290 | 169.878786 |
291 | 146.2685309 |
292 | 229.1364586 |
293 | 141.8487278 |
294 | 279.6526365 |
295 | 207.0091346 |
296 | 199.1527488 |
297 | 253.1424575 |
298 | 169.736507 |
299 | 269.016437 |
300 | 210.4194555 |
Bin | Frequency |
100 | 9 |
125 | 12 |
150 | 20 |
175 | 46 |
200 | 66 |
225 | 65 |
250 | 37 |
275 | 30 |
300 | 9 |
More | 6 |
Column1 | |
Mean | 199.1750669 |
Standard Error | 2.794672672 |
Median | 199.3994493 |
Mode | 204.3256705 |
Standard Deviation | 48.40515058 |
Sample Variance | 2343.058603 |
Kurtosis | 0.335615843 |
Skewness | -0.034883434 |
Range | 309.3191481 |
Minimum | 56.44171829 |
Maximum | 365.7608664 |
Sum | 59752.52007 |
Count | 300 |
Largest(1) | 365.7608664 |
Smallest(1) | 56.44171829 |
Since Skewness=-0.034883434 which is almost zero. Hence the simulated demand is symmetric.
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