Index Number | Meaning, Characteristics, Uses and Limitations
Last Updated :
09 Oct, 2023
What is Index Number?
We are a part of a fast-paced economy. Numerous changes in the size of the population, output, money supply, income, and price of commodities are taking place continuously in an ever-changing environment. Economic changes have their effects on the volume of economic activity, income and employment, general price level, and other factors. Most people are interested in learning how much their values have changed over time and how they have changed, and most values evolve. The index number helps in studying changes in consumption, production, imports, exports, cost of living, crimes, accidents, national income, business failures, and other phenomena.
Example of Index Number
An illustration can help explain the concept of index numbers. Take a look at how prices are expected to rise in 2019. In this situation, there are three basic questions.
- First, in comparison to which year did prices rise in 2019?
- Second, how to respond when certain products' prices increase more rapidly than others?
- Third, is there any standard unit or not in which the prices of different goods and services can be expressed? The price of milk can be expressed in terms of a rupee per liter, of cloth in terms of a rupee per meter, and sweets in terms of a rupee per kilogram.
All questions can be answered by studying index numbers.
- First, the rise in the prices in 2019 can be studied using the previous year, like 2015 or 2010 as the reference/base.
- Second, the index number suggests considering an average change. For example, if the price of potato rise from ₹100 to ₹200 and the price of onions rise from ₹100 to ₹300, then the average price is considered ₹250; i.e., \frac{200+300}{2}=\frac{500}{2}
- Third, the index number suggests considering only the percentage change. Thus, the unit of commodity losses its relevance.
Meaning and Historical Background of Index Numbers
The index number was first constructed by an Indian Statistician, Carli in 1764. It was used for the first time to compare the prices of the year 1750 with that of the year 1500. An index number is a statistical tool for measuring changes in the magnitude of a group of related variables.
"Index Number shows by its variation the changes in a magnitude which is not susceptible either of accurate measurement in itself or of direct valuation in practice."- Edgeworth
"Index Numbers are devices for measuring differences in the magnitude of a group of related variables."- Croxton and Cowden
"An index number is a statistical measure designed to show changes in variable or a group of related variables with respect to time, geographical location or other characteristics." - Spiegel
An index number is used to display changes in a variable or group of related variables through time, space, or other factors. Comparisons can be made between elements like people, hospitals, schools, etc. It tracks changes in the value of variables such as the cost of living, the volume of production in various industries, the prices of a list of defined commodities, and so on. Also, as the index numbers are used to feel the pulse of the economy, they are also known as the Barometer of Economic Activity.
Characteristics of Index Numbers
The various features of Index Numbers are as follows:
1. Specialized Averages:
To compare two or more series, averages like mean, median and mode can be used. But averages can not be used for comparison when series are composed of different types of items, or if two or more series are expressed in different units. Index numbers enable comparing changes in series.
2. Expressed in Percentages:
The magnitude of a group's changes is expressed in terms of percentages, which are independent of the measurement units. It helps in figuring out how two or more index numbers compare in various circumstances. Although, the % sign is never used.
3. It assesses the impact of changes with respect to time or location:
To compare changes over time, between places, and within categories, index numbers can be used. For example, the cost of living in two locations may differ at the same time, or the cost of living in one city can be compared over two time periods.
4. It measures the change that can not be measured directly:
Its purpose is to examine changes in the effect of such factors that cannot be observed directly. For example, the cost of living can not be measured directly. We can only study relative changes by examining variations in some related external factors.
Uses of Index Numbers
Practically, in all areas of economic activity, changes are measured using index numbers. It helps in recording changes in output, income, employment, business activities, productivity, etc.
According to M.M. Blair "Index numbers are the signs and guide posts along the business highway that indicate to the businessman how he should drive or manage affairs.
1. Measurement and Comparison of Changes in the Price Level:
It is not possible to measure changes in the price level of two variables in absolute terms; therefore, index numbers provide a relative measure to the changes in the magnitude of a group of variables. It can be used to know the influence of changes in the value of money on different sections of society. It is possible to solve the problem of inflation or deflation in the system.
2. Helps in Policy Formulation:
An index number is an important tool for government or non-government organizations in the following ways:
- In policy formulation, there is a need for a base or trend. With the index numbers, the trends of different phenomena can be studied.
- It can also be utilized in the formulation and planning of government and business policies.
3. Acts as an Economic Barometer:
A barometer is an instrument that is used to measure atmospheric pressure. It indicates fluctuations in the general conditions of a country and measures the pulse of the economy.
4. Helps in Studying Trade:
Index numbers are useful in studying the trend of a series over a period of time. It helps in forecasting future trends which is crucial for any business or production activity's future operations. Besides, it also aids in determining patterns in exports, imports, prices, and several other occurrences. For example, If someone is planning on opening up a new business, then by studying the trend of price, wages, income, etc., in different industries will help the businessman in planning the future course of action for the business.
5. Measure Purchasing Power:
Money's worth is determined by purchasing power, and purchasing power is determined by commodity prices. Index numbers help find the intrinsic value of money as contrasted with its nominal value. It helps in establishing the nation's wage policy. Besides, a change in the price of the commodity adversely affects the value of money. When the price level of a commodity rises, the purchasing power or value of money falls.
6. Helps in Deflating Various Values:
With price index numbers, it becomes easy to adjust the monetary figures of the different periods for changes in the price. For example, a country's national income is calculated on the basis of the prices of the year mentioned in the question. However, the real change in the production level of goods and services cannot be revealed through the national income computed at the current year's price. To know the real change, first, we have to adjust the figures for the price changes in different years. Making adjustments is possible only by using price index numbers. Besides, in case of rise in prices, the process of adjustment is known as deflating.
Limitations of Index numbers
The limitations of Index Numbers are as follows:
1. Provides Relative Changes only:
Index Numbers estimate relative changes only and cannot speak the truth as they are only approximate indicators. Besides, they represent the generalized truth based on the overall average of the items. Therefore, it does not apply to specific units.
2. Lack of Perfect Accuracy:
Index numbers do not consider every item and are based on the sample items. Thus, in case of an inadequate sample or a sample selected through a faulty process, there will be inaccurate results.
3. Ignores Qualitative Changes:
Index numbers do not pay any attention to the qualitative changes in the product while constructing the price or production. An increase in the price possibly results from the improvement in the quality of the product. But it is neglected in the index numbers.
4. Possibility of Manipulations:
Index numbers can be created in a way that allows for manipulation. This manipulation can be made in a selection of a particular base year, a particular group of commodities, a specific set of prices, etc.
5. Difference between purpose and method of Construction:
When the index numbers are created for a specific purpose using a specific methodology, they are not suitable for all situations and uses. If they are employed for other reasons, they are bound to produce incorrect conclusions.
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Standard Deviation in Discrete SeriesA scientific measure of dispersion that is widely used in statistical analysis of a given set of data is known as Standard Deviation. Another name for standard deviation is Root Mean Square Deviation. Standard Deviation is denoted by a Greek Symbol σ (sigma). Under this method, the deviation of valu
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Standard Deviation in Frequency Distribution SeriesA scientific measure of dispersion that is widely used in statistical analysis of a given set of data is known as Standard Deviation. Another name for standard deviation is Root Mean Square Deviation. It is denoted by a Greek Symbol σ (sigma). Under this method, the deviation of values is taken from
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Combined Standard Deviation: Meaning, Formula, and ExampleA scientific measure of dispersion, which is widely used in statistical analysis of a given set of data is known as Standard Deviation. Another name for standard deviation is Root Mean Square Deviation. Standard Deviation is denoted by a Greek Symbol σ (sigma). Under this method, the deviation of va
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Coefficient of Variation: Meaning, Formula and ExamplesWhat is Coefficient of Variation? As Standard Deviation is an absolute measure of dispersion, one cannot use it for comparing the variability of two or more series when they are expressed in different units. Therefore, in order to compare the variability of two or more series with different units it
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Lorenz Curveb : Meaning, Construction, and ApplicationWhat is Lorenz Curve?The variability of a statistical series can be measured through different measures, Lorenz Curve is one of them. It is a Cumulative Percentage Curve and was first used by Max Lorenz. Generally, Lorenz Curves are used to measure the variability of the distribution of income and w
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Chapter 9: Correlation