## Average and Types of Averages

Average “A single value which can represent the whole set of data is called an average”. If the average tends… Click here to read more

From basic to higher mathematics

Average “A single value which can represent the whole set of data is called an average”. If the average tends… Click here to read more

Arithmetic mean is the most commonly used average or measure of the central tendency applicable only in case of quantitative… Click here to read more

Example: The following data shows distance covered by $$100$$ people to perform their routine jobs. Distance (Km) $$0 – 10$$… Click here to read more

When calculating the arithmetic mean, the importance of all the items are considered to be equal. However, there may be… Click here to read more

Pros: It is rigidly defined It is easy to calculate and simple to follow It is based on all the… Click here to read more

The geometric mean is another measure of central tendency based on mathematical footing, like arithmetic mean. The geometric mean can… Click here to read more

The main properties of the geometric mean are: The geometric mean is less than the arithmetic mean, $$G.M < A.M$$… Click here to read more

Pros: It is rigidly defined and its value is a precise figure. It is based on all observations. It is… Click here to read more

Harmonic mean is another measure of central tendency and is also based on mathematics like arithmetic mean and geometric mean…. Click here to read more

Pros: It is based on all observations. It not significantly affected by the fluctuation of sampling. It is capable of… Click here to read more

Mode is the value which occurs the greatest number of times in the data. When each value occurs the same… Click here to read more

Advantages It is easy to understand and simple to calculate. It is not affected by extremely large or small values…. Click here to read more

Graphic Location of Mode Since mode is a positional average it can be located graphically by the following process: A… Click here to read more

Median is the most middle value in the arrayed data. It means that when the data are arranged, the median… Click here to read more

Median and other partition values can be located on the graph of the cumulative frequency polygon (Ogive Polygon). Suppose we… Click here to read more

There are three quartiles called the first quartile, second quartile and third quartile. The quartiles divide the set of observations… Click here to read more

Deciles Deciles are the partition values which divide the set of observations into ten equal parts. There are nine deciles:… Click here to read more