Solving Introduction to Probability and Statistics

Introduction to Solving Probability and Statistics

Introduction of statistics is the proper science of making successful use of arithmetical data relating to groups of individuals or experiments. Probability is a way of express knowledge or principle that an event will occur or has happened.  Now we will see the introduction examples with solving procedures of probability and statistics.
Example for Probability

There are 32 books are available in a shop. In that books there are 12 story books, 8 science books and 12 maths books. What is the probability if we,

i) Choose the story books.

ii) Choose the science books.

Solving Procedure

Total number of books n(S) = 32

Story books n (A) = 12

Science books n (B) =8

Maths books n(C) =12

i) Assume the P(A) is the probability for choose story books .

P(A)= `(n(A))/(n(S))`

=`(12)/(32)`

=`(3)/(8)`

ii) Assume the P(B) is the probability for choose science books.

P(B) =`(n(B))/(n(S))`

=  `(8)/(32)`

= `(1)/(4)` .
Example with Statistics

Find out the mean, median, mode and range for the following series in statistics?

12,18,21,26,28,29,30.

Solving Procedure

The given numbers are 12,18,21,26,28,29,30.

Mean

Introduction of mean is the average of the number. We need to solve the sum of the given number for find the average.

Sum of the given numbers are = 12+18+21+26+28+29+30

=164.

We divide the total value by 7(7 is the total given numbers total) =164/7

= 23.4

Median

Center value of the given number series is known as median.

The number series is 12,18,21,26,28,29,30.

The center value of the above series is 26.

Therefore the median value is 26.

Mode

Introduction of mode is a numerous value of the given number series. The given series has no repeated value.

So we can say the mode value is null.

Range

The difference between highest value and the smallest value is said to be as the range. 30-12=22.

So 22 is the range of the series.

These are the introduction examples and solving procedures for statistics and probability.