Question

In: Statistics and Probability

Find the Mean, median, standard deviation, maximum, and minimum 419,574,626,650,664,685,746,786,801,855,1029,1078,1329,1373,1512,1581,2115,2271,2652,2761,2819,2933,3083,3205,3265,3275,4003,4163,4413,4640,4771,4810,4918,5143,5252,5702,5773, 6509,6591,7205

Find the Mean, median, standard deviation, maximum, and minimum

419,574,626,650,664,685,746,786,801,855,1029,1078,1329,1373,1512,1581,2115,2271,2652,2761,2819,2933,3083,3205,3265,3275,4003,4163,4413,4640,4771,4810,4918,5143,5252,5702,5773, 6509,6591,7205,8897,10286,11115,11456, 12379,12830,14258,14519,14523,37091

Solutions

Expert Solution

the necessary calculation table be:-

values (x)
419 23694308.6
574 22209352.8
626 21721938.1
650 21498801.4
664 21369170.4
685 21175458.8
746 20617774.9
786 20256120.5
801 20121325.1
855 19639787.6
1029 18127839
1078 17712987.3
1329 15663231
1373 15316891.1
1512 14248209.1
1581 13732064.3
2115 10059554
2271 9094325.86
2652 6941538.7
2761 6379059.46
2819 6089444.58
2933 5539809.54
3083 4856205.54
3205 4333391.62
3265 4087190.02
3275 4046856.42
4003 1647834.34
4163 1262656.74
4413 763316.742
4640 418195.022
4771 265925.862
4810 227223.822
4918 135924.942
5143 20643.9424
5252 1202.7024
5702 172490.702
5773 236507.142
6509 1494066.18
6591 1701250.66
7205 3679951.62
8897 13034410.5
10286 24993200.5
11115 33969314
11456 38060509.3
12379 50301003
12830 56901676.6
14258 80484582.5
14519 85235732.6
14523 85309607.1
37091 1011514771
sum=264334 sum=1860364632.88

number of observation (n) = 50

the answers be:-

answer calculation
mean 5286.68
median 3270

standard deviation population sd 6099.78


sample sd 6161.71

maximum 37091
minimum 419

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