# Applied Statistics (ISS (Statistical Services) Statistics Paper III): Questions 13 - 19 of 45

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## Question number: 13

» Applied Statistics » Index Numbers » Price Relatives and Quantity or Volume Relatives

Appeared in Year: 2011

### Write in Short

For the following table:

Commodity

 A B 1 1 10 5 2 x 5 2

Where p and q stand for price and quantity for 0 and 1 time periods respectively. Find the value of X if the ratio between Laspeyre’s (L) and Paasche’s (P) index number is L: P: : 28: 27

## Question number: 14

» Applied Statistics » Index Numbers » Price Relatives and Quantity or Volume Relatives

Appeared in Year: 2011

Essay Question▾

### Describe in Detail

Explain the errors in the measurement of price and quantity index number.

### Explanation

All index numbers are affected by mainly three types of errors.

1. Formula error

2. Sampling error

3. Homogeneity error

Formula error:

There is no universally accepted index number formula that will measure the price or quantity changes excatly. Each formula in common use has its own defeat and consequently some error is natural in all index numb

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## Question number: 15

» Applied Statistics » Time Series Analysis » Exponential and Moving Average Smoothing

Appeared in Year: 2011

Essay Question▾

### Describe in Detail

Explain moving average [m, p]. Let with p = 1 and m = 2k + 1, obtain the coefficient of and [m, p]

### Explanation

Moving average: moving average method is a simple and flexible method for measuring trend. It consists in measurement of trend by smoothing out the fluctuations of the data by means of a moving average.

The first element of the moving average is obtained by taking the average of the initial fixed subset of the number series i. e. the first averag

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## Question number: 16

» Applied Statistics » Index Numbers » Price Relatives and Quantity or Volume Relatives

Appeared in Year: 2010

### Write in Short

Discuss briefly the steps involved in the construction of cost of living index number.

## Question number: 17

» Applied Statistics » Time Series Analysis » Economic Time Series & Components

Appeared in Year: 2010

### Write in Short

Discuss the ratio to trend method for separating the seasonal component in a time series.

## Question number: 18

» Applied Statistics » Index Numbers » Role of CSO

Appeared in Year: 2010

### Write in Short

What is C. S. O. ? Describe briefly the role and importance of C. S. O. for execution of Indian statistical data.

## Question number: 19

» Applied Statistics » Index Numbers » Income Distribution-Pareto and Engel Curves

Appeared in Year: 2011

Essay Question▾

### Describe in Detail

Explain curve of concentration. Obtain income concentration for Pareto’s law of income distribution.

### Explanation

curve of concentration:

A concentration curve plots two variables p and q of the distribution income.

In case the form of the income distribution ϕ (x) is not known then with the help of curves of concentration, we can make a useful formulation of the problem of distribution of income.

Let N be the total frequency of the population and I be the

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