Statistics (STM 96) Exam paper RIU Tantalum
Replenishment date: 26.02.2011
Content: 10226114251547.doc (273 KB)
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Description
Exam assignments
in the discipline "Statistics" (STM 96)
Task 1
The table shows the data on the population of the Federal Republic of Germany in the period from 1950 to 1989.
Годы 1950г. 1960г. 1970г. 1980г. 1983г. 1989г.
Население (млн. чел.) 47,8 53,2 59,5 59,7 59,7 60,0
1) Explore a given population graphically using any kind of statistical graph. Make a primary conclusion about demographic changes during the study period.
2) What kind of distribution series is presented in this statistical study?
3). Find the absolute population growth chain.
4). Find the average absolute gain.
5). Find the average population growth rate.
Task 2
Out of 10 library subscribers, 000 subscribers were randomly selected to study the number of books read per year. The data obtained is collected in a table:
Number of books 0 - 6 6 - 12 12 - 18 18 - 24 24 - 30 30 - 36
Количество абонентов 18 35 52 45 30 20
one). Build a pie chart of the distribution of subscribers by the number of books read.
2). What kind of distribution series is presented in this statistical study?
3). Find the average number of books subscribers of this library read?
4). Find the fashion of the given distribution series. What does the obtained value of fashion mean?
5). Find a sample fraction of each of the book readings presented in the study. And determine the approximate number of the least read library subscribers.
Task 3
From the previous question, determine:
one). Sample variance by formula
2). Dispersion of the share of low-reading subscribers.
3). Average sampling error.
4). Average error for the share of low-reading subscribers.
5). What are the limits of the share of non-reading subscribers? What are the limits of the number of subscribers who cannot read?
Recommendations: for the convenience of calculating variance, use the table:
Number of books Mid-range (xi) Number of subscribers (fi) Xi - Xcp. (Xi - Xcp.) 2 (Xi - Xcp.) 2 ∙ fi
0 - 6 18
6 - 12 35
12 - 18 52
18 - 24 45
24 - 30 30
30 - 36 20
total ─ 200 ─ ─
in the discipline "Statistics" (STM 96)
Task 1
The table shows the data on the population of the Federal Republic of Germany in the period from 1950 to 1989.
Годы 1950г. 1960г. 1970г. 1980г. 1983г. 1989г.
Население (млн. чел.) 47,8 53,2 59,5 59,7 59,7 60,0
1) Explore a given population graphically using any kind of statistical graph. Make a primary conclusion about demographic changes during the study period.
2) What kind of distribution series is presented in this statistical study?
3). Find the absolute population growth chain.
4). Find the average absolute gain.
5). Find the average population growth rate.
Task 2
Out of 10 library subscribers, 000 subscribers were randomly selected to study the number of books read per year. The data obtained is collected in a table:
Number of books 0 - 6 6 - 12 12 - 18 18 - 24 24 - 30 30 - 36
Количество абонентов 18 35 52 45 30 20
one). Build a pie chart of the distribution of subscribers by the number of books read.
2). What kind of distribution series is presented in this statistical study?
3). Find the average number of books subscribers of this library read?
4). Find the fashion of the given distribution series. What does the obtained value of fashion mean?
5). Find a sample fraction of each of the book readings presented in the study. And determine the approximate number of the least read library subscribers.
Task 3
From the previous question, determine:
one). Sample variance by formula
2). Dispersion of the share of low-reading subscribers.
3). Average sampling error.
4). Average error for the share of low-reading subscribers.
5). What are the limits of the share of non-reading subscribers? What are the limits of the number of subscribers who cannot read?
Recommendations: for the convenience of calculating variance, use the table:
Number of books Mid-range (xi) Number of subscribers (fi) Xi - Xcp. (Xi - Xcp.) 2 (Xi - Xcp.) 2 ∙ fi
0 - 6 18
6 - 12 35
12 - 18 52
18 - 24 45
24 - 30 30
30 - 36 20
total ─ 200 ─ ─
Additional Information
The work was handed over to the teachers of RIU Tantalum with a positive assessment.