X

Available for CBSE, ICSE and State Board syllabus.

Call our LearnNext Expert on 1800 419 1234 (tollfree)

OR submit details below for a call back

Summary

Videos

References

**Mean **

The mean of a given set of values is equal to the sum of all the values divided by the total number of values.

$\overline{)\text{x}}$ = $\frac{\underset{\text{i = 1}}{\overset{\text{n}}{\xe2\u02c6\u2018}}\text{xi}}{\text{n}}$

where, $\overline{)\text{x}}$ = Mean

âˆ‘ = Summation sign

n = Number of values

x_{i} = Values of x with *i* ranging from 1 to *n*.

**Median**

The value that lies in the very centre of a given set of values arranged in ascending or descending order, is called the median of the given data. The median is that value of the given number of observations, which divides it into exactly two parts.

If the number of given values is odd, median = [$\frac{\text{n + 1}}{\text{2}}$]^{th} value, where n = number of given values.

If the number of given values is even, median = mean of ($\frac{\text{n}}{\text{2}}$)^{th} and ($\frac{\text{n+1}}{\text{2}}$)^{th} values, where n = number of given values.

**Mode**

The value that occurs the most number of times in a given set of values is called the mode of the given data or an observation with maximum frequency is known as mode.

Mean, Median and Mode together are called the measures of central tendencies of data. They are the representatives of the data. The central tendencies of a data depend on distribution of values and must be considered with other information for effective interpretation of data. Extreme values of a data affect the mean whereas median and the mode are not effected by the extreme values.

**Mean **

The mean of a given set of values is equal to the sum of all the values divided by the total number of values.

$\overline{)\text{x}}$ = $\frac{\underset{\text{i = 1}}{\overset{\text{n}}{\xe2\u02c6\u2018}}\text{xi}}{\text{n}}$

where, $\overline{)\text{x}}$ = Mean

âˆ‘ = Summation sign

n = Number of values

x_{i} = Values of x with *i* ranging from 1 to *n*.

**Median**

The value that lies in the very centre of a given set of values arranged in ascending or descending order, is called the median of the given data. The median is that value of the given number of observations, which divides it into exactly two parts.

If the number of given values is odd, median = [$\frac{\text{n + 1}}{\text{2}}$]^{th} value, where n = number of given values.

If the number of given values is even, median = mean of ($\frac{\text{n}}{\text{2}}$)^{th} and ($\frac{\text{n+1}}{\text{2}}$)^{th} values, where n = number of given values.

**Mode**

The value that occurs the most number of times in a given set of values is called the mode of the given data or an observation with maximum frequency is known as mode.

Mean, Median and Mode together are called the measures of central tendencies of data. They are the representatives of the data. The central tendencies of a data depend on distribution of values and must be considered with other information for effective interpretation of data. Extreme values of a data affect the mean whereas median and the mode are not effected by the extreme values.