ISS (Statistical Services) Statistics Paper IV: Questions 24  27 of 79
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Question number: 24
» Demography and Vital Statistics » Abridged Life Tables
Describe in Detail
Describe king’s method for constructing an abridged life table.
Explanation
An abridged life table consists of all columns of a life table for ages distant apart usually 5 to 10 years or for age groups usually of width 5 to 10 years. In this way there is tremendous cut in size of lifetables, and hence such life tables are named
Question number: 25
» Statistical Quality Control » Control Charts » Variable
Describe in Detail
a) If the average range for the 4 samples is 0.2 millimeters and the average mean of the observations is 12.5 millimeters, obtain the threesigma control limits for the sample mean.
b) 5 observations have been taken from the10 samples in order to test the volume in the bags. The average sample range is 0.5 ounces. Obtain the 3σ limits for the sample range.
Explanation
a) It is given that n = 5 and
For n = 5, The value of
Control limits for :
And
b) We are given that, number of observations, n = 5,
For n = 5, from the tables
Question number: 26
» Statistical Quality Control » Control Charts » Variable
Describe in Detail
A new oven has been installed in a bakery and to test the efficiency of this, the oven temperature readings have been taken at four different places inside the oven every 30 min. The following table gives readings. Determine the control limits for the mean temperature.
Time

Readings
 
8: 00

400

500

550

390

8: 30

440

420

380

380

9: 00

410

450

470

430

9: 30

390

390

410

410

10: 00

370

420

460

410

10: 30

390

400

390

400 
Explanation
Readings

Total

Sample mean

Sample Range
 
400

500

550

390

1840

460

160

440

420

380

380

1620

405

60

410

450

470

430

1760

440

60

390

390

410 
Question number: 27
» Demography and Vital Statistics » Measurement of Fertility » Total Fertility Rate
Describe in Detail
Compute GFR, SFR, TFR and GRR from the data given below:
Age groups of child bearing females

Number of women (’000)

Total births

15  19

16.0

260

20  24

16.4

2244

25  29

15.8

1894

30  34

15.2

1320

35  39

14.8

916

40  44

15.0

280

45  49

14.5

145

Assume that the proportion of female births is 46.2 percent.
Explanation
First write the formula of GFR, SFR, TFR and GRR is
Age groups of child bearing females

Number of women (’000)

Total 