Write the relation between mean, median and mode.
Answer
649.2k+ views
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.
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.
Recently Updated Pages
A Paragraph on Pollution in about 100-150 Words

What is BLO What is the full form of BLO class 8 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

Trending doubts
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

1 GB equals how many MB?

10 examples of evaporation in daily life with explanations

What is the full form of POSCO class 10 social science CBSE

Which is the hottest planet in the Solar system A Earth class 10 social science CBSE

Name any four life processes in living things class 10 biology CBSE

