10 tasks on statistics

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Uploaded: 17.10.2013
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1. To study the quality of yarn, a survey of 100 samples of the same weight of yarn, resulting in the following results:
Group of samples of yarn strands of the fortress, The number of samples
Up to 160 3
160 - 180 5
180 - 200 25
200 - 220 40
220 - 240 20
240 - 260 7
Define:
1) medium strength thread;
2) fashion;
3) median.
Draw conclusions.

2. Determine the variance and standard deviation.
Yields of wheat, kg / ha Sown area, ha
14 - 16 100
16 - 18 300
18 - 20 400
20 - 22 200

3. An examination of 100 samples of products taken from the lot at random, it was 20 non-standard. With a probability of 0.954, determine the extent to which is the proportion of non-standard products in the party.

4. In the city of 10 thousand. Families. In order to sample the mechanical repetitions supposed to determine the proportion of families in the city with a number of three or more children. What should be the size of the sample with a probability of 0.954 to sampling error does not exceed 0.02 a person if it is known that the dispersion is 0.2.

5. For January 1998 the following changes in payroll employees, persons .:
It consisted of the list on 01/01/1998 842
retired from 5.01 4
credited with 12.01 5
credited with 26.01 2
It is necessary to determine the average daily number of employees scheduled for January.

6. Data on the turnover of the store for months in the first half:
Months Turnover, mln. Rub.
January 19.8
February 18.2
March 20.6
April 21.2
May 24.9
June 29.6
July 35.9
The sum of:
1) absolute increases, the growth rate and growth of the chain, and the base system;
2) the average absolute increase and the average growth rate and the growth of trade turnover;
3) The average monthly turnover in the first half.
Draw the dynamic range of the graph.

7. The following data on the development of dairy products in shops in the city for months in 1987 - 1990., Thous. Tonnes:
Month 1995 1996 1997 1998
January 5.3 8.3 10.4 5.3
February 5.0 7.6 10.2 5.2
March 8.8 11.0 11.8 8.0
April 9.8 11.5 14.1 8.2
May 15.4 16.1 17.8 9.8
June 18.3 24.8 27.6 14.9
July 17.1 23.8 25.0 11.8
August 15.4 19.4 19.8 10.3
September 12.9 15.7 17.4 8.0
October 11.8 12.7 9.5 6.5
November 9.0 10.2 11.0 5.4
December 7.5 10.1 8.6 5.6
To study the implementation of the general trend of the product:
1) make the conversion of input data by periods of consolidation:
a) quarterly levels;
b) annual levels;
2) apply on a line graph obtained quarterly levels;
3) make quarterly smoothing levels with four-link the moving average;
4) Apply obtained by smoothing the data on the chart with the quarterly levels;
5) draw conclusions about the nature of the general trend of the phenomenon under study.

8. Data on the turnover of the store for two periods:
Commodity groups Turnover
thous. rub. Changing the number of items sold in the reporting period by
Compared with baseline,%
Reference period Reporting period
A
The
With 25
40
34 30
52
40 -15
4
No change
Define:
1) Individual and total volume indices of turnover;
2) The general price index;
3) general index of turnover in current prices;
4) the absolute amount of turnover growth: total, including due to changes in price and volume of sale of goods.
Show the relationship of the general index.
Draw conclusions.

9. What is the value of the index, if the value of the production costs increased by 5%, and the volume of production - 8%?

10. Data on the level of turnover and distribution costs for the six shops:
The turnover number of commercial enterprise,
thous. rub. The level of distribution costs,%
1 207.9 33.1
2 258.3 30.8
3 309.7 29.3
4 340.3 28.5
5 359.4 27.6
6 542.9 27.0
To assess the closeness of the connection calculate the linear correlation coef

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