write two merits and two demerits of arithmetic mean? give me long ans plz
Answers
Answer:
However, one of its important properties is that it minimises error in the prediction of any one value in your data set. That is, it is the value that produces the lowest amount of error from all other values in the data set.Arithmetic mean is simple to understand and easy to calculate. It is rigidly defined. It is suitable for further algebraic treatment. It is least affected fluctuation of sampling. It takes into account all the values in the series. DISADVANTAGES. The important disadvantage of mean is that it is sensitive to extreme values/outliers, especially when the sample size is small.[7] Therefore, it is not an appropriate measure of central tendency for skewed distribution.[8] Mean cannot be calculated for nominal or nonnominal ordinal data.
Explanation:
1) Arithmetic mean rigidly defined by Algebraic Formula. 2) It is easy to calculate and simple to understand. 3) It is based on all observations of the given data. 4) It is capable of being treated mathematically hence it is widely used in statistical analysis. ... 7) For every kind of data mean can be calculated