What are the merits and demerits of mean median and mode? Hence like median it has an advantage over arithmetic average. Article Shared by. It is a calculated value and is not based on its position in the series. Cons: The arithmetic mean is highly affected by extreme values. arithmetic mean, weighted mean, geometric mean (GM) and harmonic mean (HM). CERTAINTY 3. 1) It possesses the merit of simplicity. 2. It is based on all the observation. 3. 4. Arithmetic mean can be calculated even if the data set has negative, positive, and zero values. It means different investigators will find the same result from the given set of data. ADVERTISEMENTS: (A) Merits: 1. It is finite and not indefinite. It is readily put to algebraic treatment. Simple Arithmetic Mean . The mean is the most commonly used average. According to some Economists, Mean Deviation is very useful for the forecasting of Business Cycles. Arithmetic Mean, Properties of Arithmetic Mean and Merits & Demerits of Arithmetic Mean. But it is easily affected by any extreme value/outlier. Average rainfall as the arithmetic mean of all the records of the four rain gauges, as shown below: Demerits. A.M is rigidly defined. 3. Its merits and demerits can be discussed as below. 3. The geometric mean is defined as the n th root of the product of n numbers, i.e., for a set of numbers x1, x2,., xn, the geometric mean is defined as or, equivalently, as the arithmetic mean in logspace: For instance, the geometric mean of two numbers, say 2 and 8, is just the square root of their product, that is,. 4) It is capable of being treated mathematically hence it is widely used in statistical analysis. Merits and Demerits of Harmonic Mean. Arithmetic mean is of two types: 1. . Arithmetic mean can be computed even if the detailed distribution . 2. It is rigidly defined. 2. It is rigidly defined. 2. (iii) Basis of statistical analysis : It is the basis of statistical analysis and analyze the data. It is rigidly defined. Easy to understand & to calculate. ii) Arithmetic mean may lead to wrong conclusions if the details of the data from which it is computed are not given. MERITS AND DEMERITS OF MEAN, MEDIAN AND MODE MEAN The arithmetic mean (or simply "mean") of a sample is the sum of the sampled values divided by the number of items in the sample. Easy to compute and understand : It is the simplest average to understand and easiest to compute. 2. It is based on all the observations. . It is influenced by the value of every item in the series. 3. Affected by extreme values ( either low or high) 2. It is used with both discrete and continuous data, although it is most often used with continuous data. 3. all numbers are heights, or dollars, or miles, etc. MERITS AND DEMERITS OF ARITHEMETIC MEAN ARITHEMETIC MEAN RIGIDLY DEFINED BY ALGEBRIC FORMULA It is easy to calculate and simple to understand IT BASED ON ALL OBSERVATIONS AND IT CAN BE REGARDED AS REPRESENTATIVE OF THE GIVEN DATA It is capable of being treated mathematically and hence it is widely used in statistical analysis. 6. It is easy to calculate and simple to follow. It is capable of further algebraic treatment. The arithmetic mean or average is calculated by dividing the sum (total) of all the individual values of data . Algebraic treatment. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . It is a measured value and not based on the position in the series. As the mathematical formula is rigid one, therefore the result remains the same. Merits of median (1) Simplicity:- It is very simple measure of the central tendency of the series. I the case of simple statistical series, just a glance at the data is enough to locate the median value. The merits and demerits of harmonic mean are as follows: Merits: 1. I the case of simple statistical series, just a glance at the data is enough to locate the median value. 4) It is capable of being treated mathematically hence it is widely used in statistical analysis. A=Assumed mean = 5 n=50, C=1 =1.1677. If mentioned without an adjective (as mean), it generally refers to the arithmetic mean. It is correctly or rigidly defined. It is easy to understand and easy to calculate. Merits of Arithmetic Mean : (i) To present a brief picture of data : The main purpose of average is to present a simple and systematic description of the data. MERITS OF ARITHEMETIC MEAN The formula for computing MD is MD= ∑│D│/ N Merits of arithmetic mean are: 1. 7. It is a value obtained by adding together all the items and by dividing the total by the number of items. • It cannot ignore any value. It is very much affected by the extreme values. Mean Deviation: For a given set of observation, MD is defined as the arithmetic mean of the absolute deviation of the observations from an appropriate measure of central tendency. It is suitable for measuring the relative changes. Merits of Arithmetic Mean The arithmetic mean is simple to understand and easy to calculate. It is rigidly defined. Every set of data has one & only one A.M. 5. It is rigidly defined. The arithmetic mean is the central value of a set of numbers in a data set. It is also called average. can be outlined in the light of the characteristics of an ideal average as follows: Merits. It is also called average. It is suitable for further mathematical analysis. 2. Arithmetic mean is simple to understand and easy to calculate. Meaning of Mode: Most frequent value in a series. As every item is taken in calculation, it is effected by every item. Advantages and Disadvantages of Measures of Central Tendency. The merits and demerits of harmonic mean is discussed below: Merits: • Harmonic mean is capable of further algebraic treatments. accurately if any item is missing. Effects of extreme value mean value may not figure in the series at all. It is also used in computing Fibonacci Sequences. What are the advantages of mean in statistics? 3. 5. Demerits of Arithmetic Mean Mean deviation is a measure that removes several shortcomings of other measures i.e. It is the reason that it is the most used measure of central tendency. What is a disadvantage of using the mean? 2. Merits and Demerits of Arithmetic Mean. A layman can also understand it easily. 2) It is easy to calculate and simple to understand. Demerits of Mode. When calculating the arithmetic mean, the values can be positive, negative, or zero.. What is arithmetic mean and its merits and demerits? Meaning of Arithmetic Mean: The mean is a measurement of unit most frequently used to describe a frequency distribution of same type. Merits of Arithmetic Mean It is determined strictly. Merits of Arithmetic Mean : (i) To present a brief picture of data : The main purpose of average is to present a simple and systematic description of the data. it cannot be calculated ignoring any item of a series. It is the most popular and widely used measure for representing the . Properties of arithmetic mean Merits of arithmetic mean Demerits of arithmetic meanmeasures of central tendency It is finite and not indefinite. Arithmetic Mean: It is a value obtained by adding together all the items and by dividing the total by the number of items. 3. MERITS ANS DEMERITS OF ARITHMETIC MEAN Merits :- The following are some of the main merits of arithmetic mean: 1. Merits: It provides a perfect and systematic description of data available that can be used for different purposes, such as surveys and operational studies. Mean is typically the best measure of central tendency because it takes all values into account. It is readily put to algebraic treatment. 1. The arithmetic mean is appropriate when all values in the data sample have the same units of measure, e.g. Geometric mean is useful in ratios . (A) Merits: It is the reason that it is the most used measure of central tendency. Example: 3, 2, 1, 6. n = 4. If the number of items is sufficiently large, it is more accurate and more reliable. 2) It is commonly understood. It gives relatively more weight to small observations. Merits and demerits of Arithmetic mean Merits 1. Short Cut Method of Determining Arithmetic Mean 3. 3. Simplicity. 3) It is based on all observations of the given data. Page 1 of 3 Advantages and Disadvantages of Arithmetic Mean Advantages 1. Advantages and Disadvantages of Arithmetic Mean. What are the advantages of mean in […] 3. If the number of items is sufficiently large, it is more accurate and more reliable. 7. It takes into account all the values in the series. Likewise the value 42.6 is not reliable as the frequency cannot be taken in fractions. There are always pros and cons whenever we talk about anything. Merits and Demerits of Geometric Mean. Arithmetic Mean: It is a value obtained by adding together all the items and by dividing the total by the number of items. #Advantagesanddisadvantagesofarithmeticmean#GhazianZoologist #millerandharleyzoology Merits and Demerits of Geometric mean (GM) It is based on all the items of the data. It cannot be computed accurately if any item is missing. Mode cannot be determined from a series of individual observations unless it is converted into either a discrete or continuous series. 4. 2. 2. It is rigidly defined. 6. 8): Measures of Central Tendency - Arithmetic Mean (Ch 9) : Positional Average and Partition Values Learning Targets: I can: - Define mean, median and mode List the merits and demerits of mean, median and mode Calculate mean in individual, discrete and continuous series Calculate median and quartiles in individual . 3. It is an average which people use in their day to day expressions. Harmonic mean cannot be used on a data set consisting of negative or zero rates. Merits of median (1) Simplicity:- It is very simple measure of the central tendency of the series. The Isohyetal Method. WORK SHEET 1 (Unit) 3 Chapter 8 and 9 Subject: Economics Class: XI Unit 3(Ch. Weighted Arithmetic Mean. MERITS OF ARITHEMETIC MEAN l ARITHEMETIC MEAN RIGIDLY DEFINED BY ALGEBRIC FORMULA l It is easy to calculate and simple to understand l IT BASED ON ALL OBSERVATIONS AND IT CAN BE REGARDED AS REPRESENTATIVE OF THE GIVEN DATA l It is capable of being treated . It is based on all the observations of a series i.e. Certainty based on all items. What are the advantages and disadvantages of mean in statistics? Arithmetic mean may be either: (i) Simple arithmetic mean . It is determined for almost every kind of data. 2. * Cannot be graphically inspected/found. It is determined for almost every kind of data. The arithmetic mean (or simply "mean") of a sample is the sum of the sampled values divided by the number of items in the sample.. It can be easily calculated; and can be easily understood. 1. it does not ignore extreme terms or values which play a significant role in average or Mean. 2) It is easy to calculate and simple to understand. Demerits of Arithmetic Mean Demerits: The arithmetic mean is highly affected by extreme values. The Arithmetic Mean Method 2. 4. Advantages and disadvantages of the different measures of central tendency: The mean, median and mode are all valid measures of central tendency. Notes on the Merits and Demerits of Mode. Demerits of Arithmetic Mean 1. In a discrete series it can be located even by inspection. MEAN The arithmetic mean (or simply "mean") of a sample is the sum of the sampled va lues divided by the number of items in the sample. 2) It is easy to calculate and simple to understand. The main advantages of geometric mean are listed below: It is rigidly determined. It is least affected by fluctuations of sampling. In case of extreme items, arithmetic mean gives a distorted picture of the distribution and no longer remains representative of the distribution. ACCURACY TEST Demerits:- Arithmetic mean suffers from following demerits: 1. 3. It is rigidly defined. Note that Mean can only be defined on interval and ratio level of measurement Median is the mid point of data when it is arranged in order. 2. 4. 1) Arithmetic mean rigidly defined by Algebraic Formula. It is easy to understand and easy to calculate. 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