**Introduction**

The term "means data" is one of the frequently used word in statistics. The means data are formed from the set of a sequence of data. In the statistical meaning of word "Means data" is used to find out the "average data" of a group of data values. The mathematical representations of the term "means data" are the "average data" of a series of numbers. Let us study mean data and solve some sample problems on means data.

The mean data of a series of N experiments, Y_{l}, Y_{2}, Y_{3,} Y_{4}, ..., Y_{N} is
equal as the determinant of total experiments divided by the total number of experiments, N. Mathematics notation of mean data
as,

Mean = ( `1/n`
) `sum_(i =1)^n` x
_{i}

where

n = the number of values (data).

x_{1} = the 1^{st} data point, x_{2} = the 2^{nd} data point, ....
x_{i} = the i^{th} data point.

x_{i} = i^{th} data point, x_{1} = the 1^{st} data
point, x_{2} = the 2^{nd} data point, etc.

The symbol Sigma ( `sum` ) is used to show summation, and i = 1 to n indicates that the values of x_{i} from i = n are added.

The sum is divided by number of terms added, n.

**Example 1:**

Calculate the means data of the given series:

7, 3, 9, 0, 4, 1

**Solution:**

Mean = (`1/n` ) `sum_(i=1)^n`
x_{i} = (`1/ 6` ) `sum_(i=1)^6` x_{i}

where

n = Total number of data = 6.

x_{1 =} 7_{,} x_{2} _{=}
3_{,} x_{3 =} 9_{,} x_{4 =} 0_{,} x_{5 =} 4_{,} x_{6} = 1

Substituting

Means data = `(7 + 3 + 9 + 0 + 4 + 1) / 6` = `24 / 6` = 4.

4 is the means of data.

**Example 2 :**

Calculate the means data of unordered temperature(T) readings,

123, 366, 101, 444, 101, 366, 123, 366, 366, 101,
366,101.

**Solution:**

Ordered series are,

101, 101, 101, 101, 123, 123,
366, 366, 366, 366, 366, 444.

Determine frequency(f) of every reading

Frequency Distribution(f)(x_{i}) Table:

T(temp) |
Frequency - (f) |
(f)(xi) = temp x f |

101 | 4 | 404 |

123 | 2 | 246 |

366 | 5 | 1830 |

444 | 1 | 444 |

12 | 2924 |

Then the calculate the means data,

Means
Data = ( `1/n` ) `sum_(i=1)^n` x_{i}

x_{i} = 4(101) + 2(123) + 5(366) + 1(444)

n = 12

Mean Data = `(2924) / 12 ` = 243.7

Now you can get some ideas about study mean data.