Difference between mean-median and mode

Question

Task:

Explain the following:

The difference between mean, median and mode,

When each is appropriate to use,

The relationship between variance and standard deviation,

Why both measures are necessary,

The relationship of these measures to estimation theory.

Use the Sample Data to illustrate your points (ATTACHED).

Create a table on one slide showing the results of the six calculations for each of the three variables.

Observation #	# of bags	truck weight	truck age
1	35,076	2.71	1
2	38,824	2.76	2
3	32,694	2.76	3
4	44,827	2.77	4
5	38,901	2.79	3
6	43,382	2.81	3
7	42,091	2.91	3
8	45,671	2.95	4
9	50,745	2.97	3
10	37,894	3.00	4
11	36,597	3.01	4
12	47,522	3.02	2
13	45,304	2.99	3
14	36,669	2.98	3
15	41,243	3.02	5
16	38,517	3.04	5
17	43,003	3.01	3
18	43,216	2.97	3
19	45,341	3.05	3
20	44,969	3.21	3
21	39,604	3.10	3
22	39,364	3.08	4
23	37,623	3.12	3
24	35,983	3.07	4
25	36,744	3.09	4
26	40,811	3.15	4
27	38,670	3.10	4
28	40,953	3.15	4
29	36,402	3.20	3
30	42,656	3.23	3
31	41,065	3.24	3
32	42,587	3.24	4
33	42,373	3.23	3
34	43,389	3.23	2
35	37,031	3.23	3
36	35,312	3.22	3
37	34,850	3.30	3
38	38,043	3.18	3
39	44,390	3.15	3
40	35,005	2.69	5
41	37,135	2.78	5
42	31,361	2.79	4
43	39,688	2.79	4
44	37,983	2.80	3
45	39,355	2.83	5
46	39,657	2.94	2
47	40,499	2.98	3
48	47,204	3.00	4
49	35,372	3.02	5
50	34,655	3.03	3
51	45,409	3.04	4
52	41,953	2.99	4
53	34,229	2.96	4
54	39,751	3.02	2
55	36,221	3.03	3
56	44,272	3.01	3
57	43,643	2.97	4
58	44,530	3.05	5
59	39,618	3.21	5
60	37,459	3.11	3
61	41,968	3.07	4
62	37,408	3.13	5
63	37,698	3.08	5
64	36,592	3.09	4
65	41,689	3.15	5
66	40,996	3.09	4
67	38,519	3.16	3
68	35,041	3.20	5
69	45,309	3.23	4
70	40,213	3.23	3
71	44,461	3.25	4
72	44,258	3.23	4
73	45,745	3.24	4
74	39,730	3.25	5
75	33,769	3.21	5
76	36,079	3.32	3
77	39,311	3.17	1
78	42,254	3.16	3
79	30,385	2.74	4
80	34,696	2.80	5
81	30,335	2.81	3
82	40,289	2.81	3
83	38,337	2.84	3
84	38,010	2.83	3
85	40,457	2.94	5
86	41,578	2.99	3
87	46,261	3.01	4
88	33,780	3.04	3
89	32,911	3.06	4
90	42,470	3.07	4
91	41,024	3.07	3
92	36,293	3.07	3
93	42,278	3.07	5
94	37,412	3.07	2
95	38,074	3.04	3
96	41,187	3.00	3
97	41,766	3.09	3
98	41,358	3.28	4
99	38,801	3.18	5
100	39,021	3.12	3
101	37,220	3.17	4
102	38,781	3.11	4
103	39,098	3.13	3
104	41,813	3.19	5
105	40,605	3.15	4
106	42,140	3.19	4
107	39,917	3.23	4
108	44,877	3.25	4
109	42,364	3.25	5
110	40,122	3.26	4
111	41,414	3.25	5
112	43,162	3.25	5
113	37,048	3.25	4
114	35,400	3.22	2
115	36,179	3.37	4
116	38,198	3.17	4
117	39,506	3.19	5
118	39,098	3.12	5
119	41,813	3.17	4
120	40,605	3.11	5