Central tendency
The term central tendency is highest level of authenticity in mathematics, statistics, physics, chemistry, economics, even in all of the field of study and investigation. Hence, the conceptation of central tendency should clearly understand.
The general understanding of central tendency is look the principle insight on the central core theme. The measurement of central value of something gives an inference about the complete and entire themes.
Just look at an example, If you know the mass of nucleus of the atom, you have known the entire mass of the atom. How the earth attracting some objects toward itself in what of the force there need a measurement of attraction of the central point of the objects to the earths central point.
The total income of households of Chicago is possible to measure in billions of amount. Here, different people have different income. It is very hard to say about any specific peoples income. But, it is possible to make a clear insight about income of each people by averaging of the total income by the number of people.
This averaging is a type of activity of central tendency.
The measures of central tendency are in generally termed as bellow,
Mean
Median
Mode
Mean
Median
Mode
Mean
Mean is the common arithmetic mean obtained by the total value of the total observation divided by the number of observation. The collected income of 5 individual people is aboit 5 dollar, 3 dollar, 4 dollar, 6 dollar and 2 dollar per day. Hence, the total income of the 5 people per day is 20 dollar. Hence the mean value is 20 divided by 5 is equal to 4 dollar per day.
Median
Defining median in word is comparatively difficult from mean. But, yet we understand about median as the second value of central tendency that point out a measure among the data observed and gives us an insight about the total elements of data into classify as lower group and upper group belongs to the median value.
A measure of income level can classify the total population of a city into two groups. One is income level above the value and another is the income level bellow the value.
How median is calculated? This depends on the properties of the observation of data. If the observation is odd then the median will be the equal to one of the original observation. but if the observation number is even, then the median will be the arithmetic mean of the value of the middle two observation.
The income of 7 people per day in dollar as 5, 6, 7, 8, 2, 3, 4, 2. It is an even observation of the data. Hence the median value is the arithmetic mean of 8 and 2 which is equal to 5.
Mode
In generally, mode means most usual. The most usual frequency of the observation data is called mode. Let consider a collected data 1, 2, 3, 4, 5, 5, 5, 6, 7. Here, the number 5 happens in the greatest time. Hence, the mode of the total data is 5.