Question

In: Statistics and Probability

1. What is the mean and median? 2. what is the standard deviation? 3. what is...

1. What is the mean and median?

2. what is the standard deviation?

3. what is the minimum and maximum at a minimum?

Years	Weekend	Daily Tour Income	Daily Gross Revenue	Number of Tourists
1	Friday	3378	4838.95	432
1	Saturday	1198	3487.78	139
1	Sunday	3630	4371.3	467
2	Friday	4550	6486.48	546
2	Saturday	2467	3437.39	198
2	Sunday	3593	4571.43	452
3	Friday	898	2515.15	119
3	Saturday	2812	5462.11	342
3	Sunday	2650	5498.89	321
4	Friday	3230	5071.14	402
4	Saturday	4798	8051.43	523
4	Sunday	3253	4291.95	353
5	Friday	2848	4545	347
5	Saturday	4632	8865.01	534
5	Sunday	3767	4710.64	412
6	Friday	4499	10752.74	529
6	Saturday	3868	6435.63	422
6	Sunday	2489	3389.37	288
7	Friday	3448	6129.58	367
7	Saturday	3612	7357.12	406
7	Sunday	1937	2121.76	216
8	Friday	2548	4738.86	294
8	Saturday	2833	4141.98	317
8	Sunday	2214	4878.35	284
9	Friday	1520	4102.49	169
9	Saturday	4322	8639.55	462
9	Sunday	1833	3946.71	203
10	Friday	2271.63	4236.31	235
10	Saturday	2407.88	5613.27	266
10	Sunday	1772.17	5580.17	182
11	Friday	1494	3833.52	177
11	Saturday	1998	3986.57	213
11	Sunday	1388	2721.56	165
12	Friday	1925	3952.19	190
12	Saturday	2695	6281.3	243
12	Sunday	1525	3356.14	172
13	Friday	1725	3822.59	187
13	Saturday	2450	4141.75	253
13	Sunday	1407.5	3312.41	173
14	Friday	2394	4571.5	242
14	Saturday	3012	6363.3	311
14	Sunday	2058	3502.22	239
15	Friday	2427	5881.13	267
15	Saturday	3189	10409.13	336
15	Sunday	2109	4955.05	178
16	Friday	2244	4347.41	184
16	Saturday	3195	4935.17	274
16	Sunday	1017	3486.27	114
17	Friday	3470	6290.99	325
17	Saturday	5323	13132.55	478
17	Sunday	2345	5014.45	242
18	Friday	1671	2740.23	177
18	Saturday	2321.94	4423.31	246
18	Sunday	1542	2650.48	182

Expert Solution

1. What is the mean and median?

mean(Daily Tour Income ) =sum of values /total values=144204.1/54=2670.447

mean(Daily Gross Revenue)=sum/total=276379.76/54=5118.144

mean(Number of Tourists)=sum of values/total values=15795/54=292.5

median=middlemost value after sorting data in ascending order

median(Daily Tour Income )=2458.5

median(Daily Gross Revenue)=4571.465

median(Number of Tourists)=266.5

Solution2:

for std deviation create following table

Daily Tour Income(X)	xbar	x-xbar	(x-xbar)^2
3378	2670.447	707.553	500631.2478
1198	2670.447	-1472.447	2168100.168
3630	2670.447	959.553	920741.9598
4550	2670.447	1879.553	3532719.48
2467	2670.447	-203.447	41390.68181
3593	2670.447	922.553	851104.0378
898	2670.447	-1772.447	3141568.368
2812	2670.447	141.553	20037.25181
2650	2670.447	-20.447	418.079809
3230	2670.447	559.553	313099.5598
4798	2670.447	2127.553	4526481.768
3253	2670.447	582.553	339367.9978
2848	2670.447	177.553	31525.06781
4632	2670.447	1961.553	3847690.172
3767	2670.447	1096.553	1202428.482
4499	2670.447	1828.553	3343606.074
3868	2670.447	1197.553	1434133.188
2489	2670.447	-181.447	32923.01381
3448	2670.447	777.553	604588.6678
3612	2670.447	941.553	886522.0518
1937	2670.447	-733.447	537944.5018
2548	2670.447	-122.447	14993.26781
2833	2670.447	162.553	26423.47781
2214	2670.447	-456.447	208343.8638
1520	2670.447	-1150.447	1323528.3
4322	2670.447	1651.553	2727627.312
1833	2670.447	-837.447	701317.4778
2271.63	2670.447	-398.817	159054.9995
2407.88	2670.447	-262.567	68941.42949
1772.17	2670.447	-898.277	806901.5687
1494	2670.447	-1176.447	1384027.544
1998	2670.447	-672.447	452184.9678
1388	2670.447	-1282.447	1644670.308
1925	2670.447	-745.447	555691.2298
2695	2670.447	24.553	602.849809
1525	2670.447	-1145.447	1312048.83
1725	2670.447	-945.447	893870.0298
2450	2670.447	-220.447	48596.87981
1407.5	2670.447	-1262.947	1595035.125
2394	2670.447	-276.447	76422.94381
3012	2670.447	341.553	116658.4518
2058	2670.447	-612.447	375091.3278
2427	2670.447	-243.447	59266.44181
3189	2670.447	518.553	268897.2138
2109	2670.447	-561.447	315222.7338
2244	2670.447	-426.447	181857.0438
3195	2670.447	524.553	275155.8498
1017	2670.447	-1653.447	2733886.982
3470	2670.447	799.553	639284.9998
5323	2670.447	2652.553	7036037.418
2345	2670.447	-325.447	105915.7498
1671	2670.447	-999.447	998894.3058
2321.94	2670.447	-348.507	121457.129
1542	2670.447	-1128.447	1273392.632
		total	56778322.5

Formula is

sample standard deviation=sqrt(56778322.5/54-1)

=sqrt(1071289)

= 1035.031

I cannot paste table for other variables

sample standard deviation(Daily Gross Revenue)=2138.661108

sample standard deviation(Number of Tourists)= 117.9379034

orchestra answered 3 years ago

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