Sunday, February 17, 2013

Free Online Tutoring for Statistics

Free Online Tutoring For Statistics:

Introduction: * The word Statistics is derived from the Latin word  ' Status '  meaning a political state.

*  Statistics was just a collection of datas which was useful to the state.

*  Statistics was used for the collection of taxes, distribution of land etc. But with the

passage of time, its scope has  become much wider.

*  It is used by a scientist, a housewife, administrator, politician,

businessman, educationist etc.,

Collection of observations on an individual or a number of individuals is said to form data.

The study of data is called statistics.  The word statistics is used in two senses:

1. Statistics as a science which deals with the collection, presentation, analysis, interpretation of

numerical data.

2.  Statistics, means numerical observations or facts collected with the definite objective.

I like to share this Statistics Math with you all through my article.

Finding Class Limits(free online tutoring for statistics)


Let me help you to find the class limits:

Problem:

The class marks of a distribution are 26, 31, 36, 41, 51, 56, 61, 66, 71.  Find the class limits?

Class size = 31 - 26 = 5

Half of class size = 5/2 = 2.5

Therefore Lower Class Limits are 26 - 2.5 = 23.5

31 - 2.5 = 28.5

36 - 2.5 = 33.5   and so on...

Upper Class Limits are 26 + 2.5 = 28.5

31 + 2.5 = 33.5

36 + 2.5 = 38.5 and so on...

Class Limits of given class marks are

23.5 - 28.5

28.5 - 33.5

33.5 - 38.5

38.5 - 43.5

43.5 - 48.5

48.5 - 53.5

53.5 - 58.5

58.5 - 63.5

63.5 - 68.5

68.5 - 73.5


Finding Range:free online tutoring for statistics


Problem:  In an exam, 10 students scored the following marks in English and Math. Calculate the range in each case:

English    77    52    60    49    35    39    55    62    89    68
Mathematics    42    65    53    58    62    68    74    54    79    66
Solution:

Marks of ten students in English are  77, 52, 60, 49, 35, 39, 55, 62, 89, 68

Highest marks in English  = 89

Lowest marks in English   = 35

Range of marks in English = 89 - 35 = 44

Marks of ten students in Math are: 42, 65, 53, 58, 62, 68, 74, 54, 79, 66

Highest marks in Math = 79

Lowest marks in Math  = 52

Range of marks in Math = 79 - 52 = 27

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Finding Mean :

Problem : Find the mean of all prime numbers less than 20.

Solution: The prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19

Total number of observations:  8

Mean = Sum of all prime numbers / Total Number of observations

=  (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19)  /  8

=  77 / 8

=  9.625

So, the mean of all prime numbers less than 20 = 9.625


Finding Mode:(free online tutoring for statistics)

Problem:

The points scored by a basket ball team in ten matches are:

34, 42, 31, 37, 53, 56, 56, 51, 105 and 69

Find the mode:

Solution:  First arrange the given scores in ascending order

31, 34, 37, 42, 51, 53, 56, 56, 69, 105

The score 56 is repeated the maximum number of times ( twice)

Hence, the mode = 56

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