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

Solutions

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


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