Question

Write the relation between mean, median and mode.

Answer 1

Hint: There exists relation between mean, median and mode of any given set of data. The value of mode of a set of data is the difference between the thrice the median and twice the mean. It is an established relation which should best be remembered.

Complete step-by-step answer:
Mean of a set of data is the average of all values in the set. Mean indicates the most probable value in the set of values. However, it may vary if the data set is asymmetrically distributed, that means whenever an extremely high or extremely low value as compared to the rest of data is present then the mean of that set can be misleading.
Median is the middle value of the set of data when the data is arranged in an ascending order. The median of a data has a higher frequency if the data is distributed symmetrically.
Mode of a set of data is that value which is repeated maximum times or the value which has highest frequency. The mode of data in a certain way indicates where the mean will be, as the mean is closest to the value which has the highest frequency.
The relation between mean, median and mode is \[Mode = 3(Median) - 2(Mean)\].

Note: If a set of data is perfectly symmetrical, that its values from a bell shaped curve with their frequencies, then in such a case, the value of mean, median and mode are all equal to each other. Also we cannot determine which one of three, that is mean, median and mode, will be greatest or smallest as it entirely depends on the distribution of the data set.