WHAT IS THE MEANING OF MEDIAN AND MODE ??

Solution:

Median:

The median of a data is the value of the middle observation, when the data is arranged in ascending or descending order. The median divides the data into two equal halves.
 
Suppose the observations are:
31, 9, 8, 20, 15, 8, 3, 30, 31, 23, 13, 13, 28, 26, 19, 27, 13, 12, 25
 
These observations can be arranged in ascending order as:
3, 8, 8, 9, 12, 13, 13, 13, 15, 19, 20, 23, 25, 26, 27, 28, 30, 31, 31
 
Here, the middle most term is 19. There are 9 terms before 19 and 9 terms after 19. Thus, the median of the given observations is 19.

Mode:
The value of a data set that occurs most often is known as the mode of the data set.
 
For example, in the given data set 2, 6, 7, 5, 4, 2, 6, 7, 9, 7, 8, 3, 2, 11, the number 7 and 2 occur most often (3 times). Therefore, both 7 and 2 are the modes of the given set of numbers.

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