# Applied Statistics-Index Numbers (ISS (Statistical Services) Statistics Paper III): Questions 5 - 10 of 25

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## Question number: 5

» Applied Statistics » Index Numbers » Link and Chain Relatives Composition of Index Numbers

Appeared in Year: 2009

### Write in Short

Explain the time reversal and factor-reversal tests for an ideal index number. Give an example

of index number which satisfies both of these tests.

## Question number: 6

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

Appeared in Year: 2009

### Describe in Detail

State the probability density function of the Pareto distribution and give its cumulative form.

Interpret the constants involved.

### Explanation

… (285 more words) …

## Question number: 7

» Applied Statistics » Index Numbers » Fisher Index Numbers: Chain Base Index Number & Tests for Index Number

Appeared in Year: 2009

### Describe in Detail

Define Marshall- Edgeworth index number and examine whether it satisfies Fisher’s tests for index numbers. Also show that this index number will lie between the Laspeyres’ and Paasche’s index numbers.

### Explanation

… (226 more words) …

## Question number: 8

» 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: 9

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

Appeared in Year: 2011

### Describe in Detail

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

### Explanation

… (269 more words) …

## Question number: 10

» 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.