Control statistics

Task 1. Correct the mistakes in the crossword puzzle of the original work.

Task 2. To determine the terms of using a short-term loan in a commercial bank of the city, a 5% random non-repeated sampling of personal accounts was carried out, as a result of which the following distribution of customers by the term of using the loan was obtained (Table 1):

Loan use period (days) Number of depositors (people)
Up to 30 60
30 - 45 40
45 - 60 120
60 - 75 80
Over 75 50

Based on the data in the table, build at least three types of statistical graphs possible for this study.

Task 3. Table 2 shows the distribution of workers in the assembly team by skill level (categories).

Табельный номер 219 220 221 222 223 224 226 227 230 231 232 233 234 235 236
Разряд 4 4 7 6 4 6 4 5 2 4 2 5 2 5 6
Табельный номер 237 238 239 240 243 244 245 246 247 248 250 258 259 260 261
Разряд 2 5 4 6 7 3 7 6 4 6 3 5 4 6 5

Using the data in Table 2, complete the tasks:
1. Group workers by category, build a new grouping table.
2. Find the fashion, median and average rank of the workers in this brigade. Explain what your mean, mode, and median mean in this study mean.
3. Build a pie chart of the distribution of workers by skill level.
4. Find what proportion are workers of each category in the total number of workers in the brigade.

Task 4. Table 3 contains data on the total number of pensioners in the Russian Federation in the years under study.

год 1995 2000 2005 2007 2008
Number of pensioners (thousand people) 37083 38411 38313 38467 38598

Using the data in Table 3, complete the tasks:
1. Determine the type of statistical series presented in the table.
2. According to the table, determine the main indicators of dynamics.
3. Determine the average number of pensioners in the study period. Justify the formula you applied.
4. According to the table, build a dynamic graph of the number of pensioners in the study period.
5. Build a paired linear regression of the number of pensioners in the study period.
6. Using the constructed regression model, make a forecast for 2010 and compare with the real situation. Data on the number of retirees in 2010 can be found in the media. Do not forget to indicate the source of information.