• Tag Archives Statistics
• ## Mathematics & Statistics

Time to start some calculations

We all know the importance and application of mathematics in our daily life. From calculating the amount we spend for shopping to the calculation of monthly budget, we are using different mathematical principles. You can find mathematics in each and every discipline, like science, business, technology and so on. Neglecting mathematics means, injuring the whole world of knowledge. Therefore, it was remarked, as Mathematics is a Science of all Sciences and art of all arts. It would be easy to read this article, but most of the students don’t think it would be that much easy to learn mathematics. However, you should know the fact, understanding the basic concepts and methods in mathematics can give you a great foundation in several other subjects.

Let us look into the career options, mathematics can offer you. Before that, you should know about the two main fields in mathematics, pure mathematics and applied mathematics. While pure mathematics deals theorems related to quantity, structure, space and change, applied mathematics focuses on statistics, decision sciences and computational mathematics. If you are interested in pursuing a research based career field, then you can choose pure mathematics. A theoretical mathematician tries to develop different theories and solve complex problems. Since pure mathematics serve as a backbone for applied mathematics, we can say that work of theoretical mathematicians benefits the applied mathematicians also. As we mentioned earlier, mathematical principles are used in every aspect. So applied mathematician applies different theorems, principles and proofs for solving practical problems. One of the perfect examples for applied mathematician is a statistician. They have to analyze and interpret data in accordance with the statistics and other decision sciences. Their decision might be used for resolving several economic, social, political and military issues. If mathematics can rule the domain of knowledge, then it will be ahead in job opportunities also. With better job prospects and higher salary packages, careers built in mathematics may prove to be rewarding.

Since mathematics is a universal language, there won’t be any confusion regarding the academic levels. You can find numerous numbers of colleges and universities that offer different degree levels in mathematics. Ranging from the initial associate level degrees you can attain doctoral or PhD degrees in mathematics. You can even combine mathematics with any other related discipline such as statistics, computational mathematics or any scientific subjects to pursue a double major program. Critical thinking skills and problem solving abilities that you gain through these academic programs may help in professional and personal life. It is time to start some calculations and solve some problems. Start your search through schoolanduniversity.com and get connected to the best educational institutions.

• ## Definition of Statistics in Mathematics

Introduction to definition of statistics:

Statistics is the most significant and useful part of mathematics. Statistics deals with the group, organization, examination, and interpretation of numerical value. A word statistics defined from the Latin word -Statis’. More simply the statistics is defined as the study of data value and how to gather, summarize and present that data. Statistics is especially useful in drawing common result about a collection of data value from a sample of the data. In mathematics statistics is divided into different number of types. They are called as mean, mode, median, range, quartile, standard deviation and so on. In this article we are going to discuss about the definition of different types of statistics and its related example problems with its solution of each type of statistics.

Definition of statistics:

Statistics is defined as the science of the gathering, maintenance and interpretation of value. It contract with every aspects that is it together with the planning of data gathering in terms of the design of surveys and researches. Statistics is linked with probability theory, with which it is frequently grouped. Statistics can be used as a singular or plural. The Statistics is called singular when it denotes the discipline which is act in -Statistics is an art-. The Statistics is called plural when it denotes the quantities that is mean and median which is act in -Statistics are misleading-.

Definition of mean: In mathematics statistics the mean defined as the average of the values. You can calculate the mean by adding the given values together and then divide the obtained addition result by given number of values in the given set.

Example:

In preparation for a move across town, Ronald packed 8 boxes weighing:

7.1 pounds, 9.9 pounds, 7.1 pounds, 7.5 pounds, 9.9 pounds, 9.9 pounds, 9.9 pounds, 8.3 pounds.

What was the mean weight of the boxes?

Solution:

Given data set: 7.1 pounds, 9.9 pounds, 7.1 pounds, 7.5 pounds, 9.9 pounds, 9.9 pounds, 9.9 pounds, 8.3 pounds.

First, count how many numbers are in the group; There are 8 numbers.

Now add all the numbers together:

9.9 + 7.1 + 9.9 + 7.1 + 7.5 + 8.3 + 9.9 + 9.9 = 69.6

Now divide the sum by the number of numbers:

`69.6/8 = 8.7`

The mean weight of the boxes was 8.7 pounds.

Definition of median: In mathematics statistics median is defined as a middle value of the given data set. It is done by first arranging the given setoff values from least to greatest.

Example:

What is the median?

-6, 10, 8, -6, 10.

Solution:

Given data set: -6, 10, 8, -6, 10

Now, arrange the given numbers from least to greatest.

That is: -6, -6, 8, 10, 10

Now find the number in the middle.

-6, -6, 8, 10, 10

The number in the middle is 8; Therefore, the median value is 8.

Definition of mode: In mathematics statistics mode is described as the value that appears most often.

Example:

What is the mode?

0, -3, -4, -4, -3, 0, -4.

Solution:

Given data set: 0, -3, -4, -4, -3, 0, -4

First, sort the given values as ascending order.

-4, -4, -4, -3, -3, 0, 0

Now count how many number of times each value appears.

-4 presents 3 times. -3 presents 2 times. 0 presents 2 times.

The value that appears most often is -4.

Therefore the mode value is -4.

Definition of range: In mathematics statistics the range defined as the difference among the greatest value and the least value.

Example:

Jesse volunteers at the local skating rink. On his last 8 shifts, there were:

5 skaters, 5 skaters, 6 skaters, 9 skaters, 7 skaters, 7 skaters, 9 skaters, 7 skaters.

What was the range of the numbers of skaters?

Solution:

Given data set: 5 skaters, 5 skaters, 6 skaters, 9 skaters, 7 skaters, 7 skaters, 9 skaters, 7 skaters.

First, calculate the greatest number: The greatest number is 9.

Next, calculate the least number: The least number is 5.

Subtract the least number from the greatest number:

9 – 5 = 4

The range of the numbers of skaters was 4.

More definition of statistics:

Definition of quartile: In mathematics statistics quartiles are values that split a group of data into four equal divisions. There are three types of quartiles available in data set.

Median Lower quartile Upper quartile Median: In mathematics statistics median is defined as a middle value of the given data set. It is done by first arranging the given setoff values from least to greatest.

Lower quartile: The lower quartile is defined as the median of the lower half of the data.

Upper quartile: The upper quartile is defined as the median of the higher half of the data.

Example:

In the data set below, what are the lower quartile, the median, and the upper quartile?

31, 33, 35, 37, 39, 40, 42.

Median:

Find the median in the middle of the set.

31, 33, 35, 37, 39, 40, 42

The median is 37.

Divide the numbers into a lower half and an upper half.

31, 33, 35, 37, 39, 40, 42.

Lower quartile:

Find the lower quartile in the middle of the lower half.

31, 33, 35

The lower quartile is 33.

Upper quartile:

Find the upper quartile in the middle of the upper half.

39, 40, 42

The upper quartile is 40.