# ISS Statistics Paper IV: Questions 24 - 27 of 79

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## Question number: 24

Essay Question▾

### 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 life-tables, and hence such life tables are named… (233 more words) …

## Question number: 25

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

### 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 three-sigma 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 3-σ 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… (11 more words) …

## Question number: 26

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

### 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… (46 more words) …

## Question number: 27

» Demography and Vital Statistics » Measurement of Fertility » Total Fertility Rate

Essay Question▾

### 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… (51 more words) …

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