TSU Theory Statistics Option 10 TSU

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Theory of Statistics TSU Option 10
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Theory of Statistics TSU Option 10


Objective 1

As a result of the sample survey (random selection of 20%) schools in the city following data were obtained on admission of graduates of secondary schools in the city in higher education:

Number of school pupils in order%, had the intention to enter higher education% actually received in high schools
1 54 4
2 86 13
3 50 20
4 61 25
5 57 26
6 44 27
7 65 28
8 76 33
9100 34
10 77 38
11 66 40
12 70 41
13 70 41
14 68 43
15 81 46
16 85 47
17 86 47
18 78 48
19 77 48
20 71 50
21 73 50
22 71 52
23 70 54
24 88 58
25 86 60

A statistical analysis of the data.

For this purpose:

I.
1. Build a statistical number of schools in the percentage actually received in high schools, forming 4 groups with equal intervals. Plot number distribution.
2. Calculate the characteristics of a number of schools in the percentage actually enrolled in universities: the arithmetic mean, the average linear deviation, standard deviation, variance, coefficient of variation. In calculating the arithmetic mean and standard deviation using the method of moments.
Draw conclusions.

II.
1. With a probability of 0.954, determine the average error protsen¬ta actually enrolled in universities, and the border, which will pro¬tsent actually received in high schools in the population.
2. With a probability of 0.954, determine the error proportion of schools in which the percentage actually received more than 50%, and the border, which will be the proportion in the population.
Draw conclusions.

III.
1. The method of analysis groups set harak¬ter connection between the percentage of pupils who have the intention po¬stupit universities, and the percentage actually received. The results are formalized in the table. Draw conclusions.
2.Izmerte closeness of correlation between the percentage of pupils who have the intention to go to college, and the percentage actually received empirical correlation otnoshe¬niem. Explain its meaning.
3. Calculate the parameters of a linear equation of the relationship between pro¬tsentom school, intending to enroll in universities and pro¬tsentom actually received. Explain the meaning of the regression coefficient.
4. Calculate the theoretical correlation ratio, poyas¬nite its meaning.
5.Sravnite analysis results due by analytical groups and regression-correlation method.
Draw conclusions.