Question

mention the advantages and disadvantages of Arithmetic mean as a measure of Central tendency of a set of observation

Answer 1

In any research, enormous data is collected and, to describe it meaningfully, one needs to summarise the same. The bulkiness of the data can be reduced by organising it into a frequency table or histogram.[1] Frequency distribution organises the heap of data into a few meaningful categories. Collected data can also be summarised as a single index/value, which represents the entire data. These measures may also help in the comparison of data.

CENTRAL TENDENCY

Central tendency is defined as “the statistical measure that identifies a single value as representative of an entire distribution.”[2] It aims to provide an accurate description of the entire data. It is the single value that is most typical/representative of the collected data. The term “number crunching” is used to illustrate this aspect of data description. The mean, median and mode are the three commonly used measures of central tendency.

MEAN

Mean is the most commonly used measure of central tendency. There are different types of mean, viz. arithmetic mean, weighted mean, geometric mean (GM) and harmonic mean (HM). If mentioned without an adjective (as mean), it generally refers to the arithmetic mean.

Arithmetic mean

Arithmetic mean (or, simply, “mean”) is nothing but the average. It is computed by adding all the values in the data set divided by the number of observations in it. If we have the raw data, mean is given by the formula

Answer 2

Answer:

The arithmetic mean of a group of observed data exists defined as being equivalent to the aggregate of the numerical values of each and every observation, separated by the entire number of observations.

Explanation:

ADVANTAGES

• Simplicity: Arithmetic mean is the most widely used measure because it can be computed extremely effortlessly and can be comprehended without any difficulty.
• Rigid Formula: The importance of arithmetic mean exists permanently set as it exists determined by a fixed formula.

DISADVANTAGES

• The arithmetic mean exists positively affected by extreme values.
• It cannot average the proportions and percentages appropriately.
• It exists not an appropriate average for highly skewed distributions.
• It cannot be calculated accurately if any item exists missing.

#SPJ3