Introduction to meaning of statistics tutorial:

Tutorial is the one of the technique of transferring the information and used to learning. The tutorial process is better than the books and teachers. The tutors are teaching the concepts as step by step process. So the students can easily understand the concepts. In math, the meaning of statistics is the formal science. These are generating well-organized help with statistical data among the group of individuals. We can solve the statistics problems with the help of formulas. The statistics is very simple to realize the concepts by using the example problems. The statistics contain the terms as mean, median, mode, range and standard deviation. In this article we will discuss about meaning of statistics and some of the solved example problems with the help of tutorial.

Example Problems for Mean and Median:

Mean:

Definition:

In statistics, the mean is defined as average of the given values.

Example 1:

The age of 5 students are 15, 18,21,17,10.

Solution:

Step 1:

The given values are 15, 18,21,17,10.

Formula for mean = `("Sum of the given values")/("Number of given data")`

As the first step, we will find the sum of the given values.

Sum of the given values = 15 + 18 + 21 + 17 + 10.

= 81

We got the total as 81.

Step 2:

As the second step, now we will find the average of the given values.

In this example, we have 5 values, so divide by 5.

Number of given data = 5.

= `81/5`

= 16.2

So, the mean value is 16.2.

Median:

In statistics, the median is defined as medium value.

Example of Median:

The marks of 7 students in English exam are 75,89,84,60,52,34,50.

Solution:

The given values are 75,89,84,60,52,34,50.

Step 1:

To find the median value, we need to sort the given elements in ascending order.

Sorting the given elements in ascending order.

34,50,52,60,75,84,89.

Step 2:

In this ascending order, we have a middle value.

The middle value is 60.

Median = 60.

Example problems for Mode and Range:

Mode:

In statistics, the mode is defined as repeated values in the given data.

Example of |mode:

The given values are 45, 36,70,14,45,42,45,60.

Solution:

Step 1:

The given values are 45, 36,70,14,45,42,45,60.

Some of the values are repeated values in the given set.

Step 2:

The ‘45' is occurred 3 times, so the mode value is 45.

Mode = 45.

Range:

In statistics, the meaning of range is a difference between the highest value and the small value.

Formula for range = Largest value - small value.

Example of range:

The given values are 148, 32,75,65,32. Find the range?

Solution:

Step 1:

The given values are 148, 32, 75, 65,100.

As a first step, we need to find a largest value.

Here we have the largest value is 148.

Step 2:

As a second step, we need to find the small value.

The small value is 32.

Step 3:

Now we substitute the highest value and small value in the range formula.

The range formula is,

Range = Largest value - small value.

= 148 - 32.

= 116.

We got the range value as 116.

Range = 116.

Now we had known the meaning of statistics with help of tutorial.