Advantages And Disadvantages Of Geometric Mean

Education , Statistics
Advantages/Merits Of Geometric Mean

Main advantages of geometric mean can be expressed as follows:

1. Rigidly Defined

As geometric mean is rigidly defined, its value will be always fixed.

2. Based Upon Items

Geometric mean is based on all the items of the series.

3. Suitable For Percentage And Ratio

Geometric mean can determine most correct average while dealing with percentages and ratios.

4. Less Affect

Geometric mean is less affected by sampling fluctuations.

advantages disadvantages geometric mean

5. Useful For Further Calculation

It is useful for algebraic calculation and other mathematical treatments.

Disadvantages/Demerits Of Geometric Mean

The main drawbacks or disadvantages of geometric mean can be expressed as follows:

1. Complex Method

It requires different mathematical knowledge ( logarithm, ratio, roots etc) to determine geometric mean. So, it is complex to compute and difficult to understand.

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2. Less Popular

Because if difficulty in calculation and complex to understand, it is not commonly used method.

3. Not Applicable

Geometric mean cannot be calculated in the case of negative or zero value of any variable in the series.

4. In case of open end distribution, geometric mean cannot be obtained.
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Advantages And Disadvantages Of Mode

Education , Statistics
Advantages Or Merits Of Mode

The Main advantages  of mode can be studied as follows:

1. Simple And Easy Method

Mode can be easily computed and understood. In some cases, it can be obtained simply by inspection without doing mathematical calculation.

2. No Effect

Mode will not be affected by extreme observation or values.

3. Widely Used Method

Mode is most commonly used technique of computing average like average wages of employees, average marks of students etc.

4. Suitable For Open End Frequency

Mode can be easily obtained for open end distribution.

5. Graphic Representation

Mode can be located and represented graphically.

6. Mode can be determined without knowing all the values in the series.

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Disadvantages/Demerits Of Mode

The major drawbacks or disadvantages of mode can be studied as follows:

1. Not Well Defined

Mode cannot be clearly defined in case of multi-model series.

2. Not Based On All Values

Mode is not based on all values of the series.

advantages disadvantages of mode

3. Not Suitable For Algebraic Treatment

Mode is not applicable for further statistical analysis and algebraic calculation.

4. Fluctuation

Mode is highly affected by fluctuation in sampling as compared to mean and median.

Pros And Cons Of Mode In Short

Pros:
- It can be determined easily just by inspecting the set of data
- Very easy to understand
- It is not affected by extreme values like arithmetic mean
- It is suitable for open end frequency

Cons:
- It is not clearly defined
- It is affected by sampling fluctuations
- It is not useful for further algebraic treatment
- It does not consider all the values in the series
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Advantages And Disadvantages Of Median

Education , Statistics
Some of the notable advantages and disadvantages of median can be expressed as follows:

Advantages/Merits Of Median

1. Easy And Simple

Median can be calculated with little mathematical knowledge. Sometimes it can be determined simply by inspection also. So, it is a simple and easy method to obtain the middle value of the series.

2. Unaffected By Extreme Values

Median is the middle value of the series, so it is not affected by the extreme value like mean.

3. Graphical Representation

Median can be easily represented graphically.

4. Suitable For Open End Distribution

Median can be correctly calculated for open end distribution where mean cannot obtain accurate result.

5. Suitable For Qualitative Phenomenon

Median can be used for qualitative phenomenon such as beauty, honesty, intelligence etc. 

6. Further Study

Median can be used for the purpose of further studies also.


1. Tedious Process

While calculating median, all the data should be arranged in ascending or in descending order. In case of large number of items, it becomes tedious and time consuming.

2. Unsuitable For Even Observation

Median provides correct result in case of odd observation. When the number is observation is even it fails to obtain accurate result.

3. Unsuitable For Algebraic Treatment

It is not applicable for further algebraic calculation.

4. Unsuitable For Fraction And Percentage

If the data of observation in a series is in fraction or in percentage, it becomes complicated to compute correct median. 
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Advantages And Disadvantages Of Arithmetic Mean

Education , Statistics
Main advantages and disadvantages of arithmetic mean can be highlighted as follows:

Advantages/Merits Of Arithmetic Mean

1. Simplicity

Arithmetic mean is most widely applied measure because it can be calculated very easily and can be understood without any complication.

2. Rigid Formula

The value of arithmetic mean is always fixed as it is defined by rigid formula.

3. Helps Further Study

Arithmetic mean can be used for further study especially for algebraic calculation and statistical analysis. 

4. Minimum Fluctuation

Arithmetic mean is less affected by fluctuation in sampling.

5. No Need Of Data Arrangement

Arithmetic mean does not require the arrangement of data and dividing of data like other measures of central tendencies (i.e median and mode).

6. Based On Observation

Arithmetic mean is completely based on observation, So, it represents the data not the position of terms.
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Disadvantages/Demerits Of Arithmetic Mean

1. Arithmetic mean cannot be determined if any item of observation is missing.
advantages disadvantages arithmetic mean
2. AM is too much affected by extreme values of the series.

3. AM is not applicable for qualitative data.

4. In case of open end class intervals, arithmetic mean cannot be calculated.

Pros And Cons Of Arithmetic Mean In Short

Pros:
- It is easy to determine and simple to understand
- Its value is always fixed
- It is useful for algebraic and statistical analysis
- Arrangement of data is not required

Cons: 
- It is not useful for open end class intervals
- It is influenced by extreme values in the series
- It cannot be determined for qualitative data
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Advantages Of Diagrammatic And Graphical Representation

Education , Statistics
Main advantages or merits of diagrammatic and graphical presentation of data can be expressed as follows:

1. To Simplify The Data

Diagrams and graphs present data in effective way that can be understood by any one easily. So, diagrams and graphs are the best way to simplify the complex data.

2. Attractive Presentation

Diagrams and graph present complex data and information in pleasant and appealing ways and leave good visual impact. So, diagrammatic and graphical representation of data easily attracts the viewers.

3. Facilitate Comparison

Diagrams and graphs help to compare and analyze information between different sets of data.

4. Helpful In Forecasting

Forecasting is possible with the help of past trend and series presented in the graph.

advantages graphical representation

5. Save Time And Labor

Graphs and diagrams are prepared to simplify complex data to make understandable to anyone. They are attractive and easy to analyze. So, they help to save time and effort to understand the presentation.

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6. Provide Reference

Diagrams and graphs can be used as a source of reference for different researches and studies.

7. Facilitates Decision Making

Graphs and diagrams provide actual information about the past trend which helps in future planning and decision making process of the organization.

8. Increase Goodwill

Illustrative and attractive report presented in diagrams and graphs help to increase goodwill and image of the firm.
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Advantages Of Tabulation

Education , Statistics
Main advantages or benefits of tabulation of data can be expressed as follows:

1. To Simplify Complex Data

Tabulation simplifies complex data by arranging them systematically in a meaningful manner. So, tabulation converts confusing information in understandable form.

2. To Facilitate Comparison

Tabulation of data helps to compare different sets of series.

3. Saving Time And Space

Large number of information can be condensed systematically in one table. So, it saves, space, time and money also.
advantages of tabulation
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4. Analysis And Interpretation

Tabulation facilitates comparison, analysis and interpretation of data easily with the help of statistical measures such as averages, dispersion, correlation, regression, deviations etc.

5. Provide Reference

Tabulated data and information can be used in different researches and studies. So, it also serves as a source of reference.
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