Statistics: problem 0002
Replenishment date: 02.09.2014
Content: stat_zadacha2.doc (189 KB)
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Description
There is the following data on the range of boarding of 100 passengers of a suburban bus (in km.):
41,0 21,8 21,6 38,0 16,8 20,5 5,9 39,0 25,6 52,0
20,5 28,0 39,0 25,5 25,5 20,5 15,5 32,5 15,5 21,4
25,6 29,0 20,4 21,4 62,0 32,8 49,9 25,6 20,5 47,2
34,0 32,7 42,3 25,6 25,6 16,8 25,6 38,0 32,7 32,5
30,0 20,5 29,5 21,9 63,0 10,0 40,0 52,0 6,9 44,2
41,2 5,0 25,5 32,5 32,5 23,5 21,4 48,5 10,0 46,7
32,7 29,5 28,0 21,5 21,3 32,4 20,5 3,0 34,0 4,0
31,0 29,7 30,5 21,4 30,0 27,1 21,4 32,7 25,4 34,5
29,8 28,0 52,0 32,6 30,5 25,5 45,5 30,0 8,0 28,0
20,5 25,4 34,0 20,5 29,0 30,0 25,6 21,3 29,0 32,7
According to the given data, it is required:
1. Construct an interval distribution series by combining the material into 9 groups at equal intervals.
2. Calculate with an accuracy of 0,1 the arithmetic mean, mode, median, standard deviation, coefficient of variation.
3. Display the resulting series graphically using a polygon and a frequency histogram (build two separate graphs).
4. Range of variation, quartile deviation, coefficient of oscillation, coefficient of linear deviation, coefficient of quartile variation, coefficient of determination.
5. Empirical correlation relation.
41,0 21,8 21,6 38,0 16,8 20,5 5,9 39,0 25,6 52,0
20,5 28,0 39,0 25,5 25,5 20,5 15,5 32,5 15,5 21,4
25,6 29,0 20,4 21,4 62,0 32,8 49,9 25,6 20,5 47,2
34,0 32,7 42,3 25,6 25,6 16,8 25,6 38,0 32,7 32,5
30,0 20,5 29,5 21,9 63,0 10,0 40,0 52,0 6,9 44,2
41,2 5,0 25,5 32,5 32,5 23,5 21,4 48,5 10,0 46,7
32,7 29,5 28,0 21,5 21,3 32,4 20,5 3,0 34,0 4,0
31,0 29,7 30,5 21,4 30,0 27,1 21,4 32,7 25,4 34,5
29,8 28,0 52,0 32,6 30,5 25,5 45,5 30,0 8,0 28,0
20,5 25,4 34,0 20,5 29,0 30,0 25,6 21,3 29,0 32,7
According to the given data, it is required:
1. Construct an interval distribution series by combining the material into 9 groups at equal intervals.
2. Calculate with an accuracy of 0,1 the arithmetic mean, mode, median, standard deviation, coefficient of variation.
3. Display the resulting series graphically using a polygon and a frequency histogram (build two separate graphs).
4. Range of variation, quartile deviation, coefficient of oscillation, coefficient of linear deviation, coefficient of quartile variation, coefficient of determination.
5. Empirical correlation relation.
Additional Information
The problem was handed over for "Excellent"!