Math Essay Examples and Topics

Quantitative Approach to Research

Quantitative research is called this way because it is directly connected to numbers and data. Quantitative research works though collecting data, converting it into the form of numbers and processing it through the calculations and formulas (The Four Main Approaches, 2009). The conclusions will be also presented in the numerical form. Reliable data is the […]

Statistics: Chi-Square Test and Regression Analysis

Introduction Chi-square test and regression analysis are important statistical tests with many applications in sciences (Satorra & Bentler 2001; Zikmund & Babin 2010). The reliability of study findings is determined by the types of statistical tests used. The statistical tests are used to provide statistical power to studies because studies with sufficient power could have […]

P-Value Definition and Role

What is P-Value and what is its Usefulness? The P-value is the probability of deriving a t-statistic that is similar to the observation made in a research. This definition is true provided the test statistic is distributed as expected based on the null hypothesis. The value measures the extent to which the sample used in […]

Statistics Process

The process of statistics involves the use of statistical tools to troubleshoot and solve problems. The process of statistics can be defined as the precise and accurate way of analyzing data in order to solve a problem. There are basic steps that must be followed by a statistician in order to get an accurate result. […]

Mathematics Requirements for Fashion Merchandising

Introduction Scholars and analysts argue that the appropriateness of design used cannot be fully evaluated. However, to some extent, analysts and researchers can determine if the design is appropriate to a particular study or not. To evaluate the appropriateness of the design used in this paper, we will compare it to similar research. In addition […]

Reflection on Statistics Learning Goals

Introduction Statistical knowledge is important to both statisticians and non-statisticians (Broers, 2006). It is, therefore, recommended that people from all disciplines are given basic skills in statistics. For this reason, I pursued this course to obtain quantitative skills to be applied and improved on in several ways. In this regard, I hoped to obtain knowledge […]

Statistics as Evidence

“Big Data” is a large amount of data involving billions of people gathered over social network sites like Facebook, Youtube, Twitter and Google by using digital sensors. Example of digital sensors used for collecting both structured and unstructured data that measure behavior of people and their patterns include mobile phones, automobiles, tablets, shipping crates and […]

Sampling Methods and Statistics

Introduction Sampling may be defined as the process of selecting an appropriate representation of a population for the purpose of attaining information regarding the overall population. A sampling distribution may be defined as a probability distribution of all possible means of a given size selected from a population. A sample must be unbiased and representative […]

Historical Data Analysis

Introduction Analyzing historical data of various countries is of essence since it gives trends of various variables for the past years. This can be used to used to estimate and forecast future values. Besides, the past trends can also explain future behaviors of various variables. The treatise carries out a comprehensive historical analysis of data […]

Regression Analysis of Business Statistics

Introduction Regression analysis is a statistical tool that is used to develop and approximate linear relationships among various variables. Regression analysis formulates an association between a number of variables. When coming up with the model, it is necessary to separate between dependent and independent variables. Regression models are used to predict trends of future variables. […]

Value of Correlation

Correlation is a statistical analysis tool that is used to ascertain the relationships between two linear variables. A correlation can only be effective when two or more variable are compared side by side; whereby, their strengths are compared to determine whether their relationship is correlated or non correlated (Ferguson, 1959, 1). Correlation can be established […]

Qualitative Research Method Analysis

An overview of the nature of qualitative research Prior to conducting any research study, it is always important to understand how the information should be collected in order to fulfill the purpose of the research. However, there are only two broad approaches on how this can be accomplished namely qualitative and quantitative research methods. All […]

The Scientific Method Isn’t What it Used to Be

The Scientific Method Isn’t What It Used to Be (Herreid, 2010) This case study aims at explaining how science has changed over time. It tries to show how scientific method has changed from the time when it was a five-step procedure that included asking question, formulation of hypothesis, testing the hypothesis, data collection and making conclusions. […]

Data Results of Statistics

Statistics is a supportive measurement that has an objective to evaluate and enumerate a situation to find the most probable conclusions. It is, therefore, factual to state that statistics do not always evidence situations (Bartholomew, 2004). Rather, statistics provides an overview of the situation in a probability manner. The accuracy of collected data depends on […]

Probability Concepts and Applications

Rationale The utilization of probability concepts is a manner of articulating knowledge or conviction that an incident will happen or has taken place (Anderson, Sweeney, Williams, Camm, & Cochran, 2013). Such concepts have been offered a precise mathematical significance in the probability theory, which is employed broadly in fields such as statistics, management, mathematics, and […]

A Linear Regression Analysis of Product

The researcher hypothesized that the time taken to polish a product depended on the size of the product. A linear regression analysis showed that the relationship was significant, F(1)= 54.87, p<.001. There was a strong, positive, linear correlation between the size of the product and the polishing time, r=.70. As expected, the time taken to […]

Binomial Logistic Regression

Introduction The appropriate regression analysis for task 6 is the binomial logistic regression. According to Norris, Qureshi, Howitt, and Cramer (2014), binomial logistic regression applies when the dependent variable is dichotomous. In this case, the dependent variable, condom use, has only two outcomes, namely, condom used and condom not used. The present analysis requires hierarchical […]

Odds Ratio in Logistic Regression

In logistic regression, odds ratio indicates the nature and the degree of association between a dependent variable and independent variables. Macdonald (2015) states that odds ratio applies to the prediction of a dependent variable using independent variables in logistic regression analysis. In this case, the dependent variable is burnout while the independent variables are coping […]

Rank Correlation and Statistical

Abstract This study seeks to establish whether the relationship between the numbers of cigarettes smoked and the level of cotinine in the body is linear. Data of randomly selected subjects from National Health Examination Survey in the United States is the basis of this study. The methodology involves determining the strength of the relationship using […]

Measures of Central Tendency and Dispersion

Aim of the paper The paper seeks to carry out a descriptive analysis of a data set. Specifically, the data will focus on estimating the measures of central tendency using SPSS. Analysis of the result generated from SPSS The results generated from SPSS shows that the mean age in the data set is 54.633 years […]

Independent Samples t-test with SPSS

Assumptions In the analysis of data using the independent-samples t-test, the data must meet the following six assumptions for the analysis using the SPSS to generate valid results. The dependent variable must be in the form of a continuous scale, which is in a ratio or an interval scale. The independent variable must be in […]

Statistically Significant but Not Meaningful

Introduction During researches, results can be statistically significant but not meaningful. The situations occurs at the end of a study when the statistical figures relating to certain topics of study are calculated in absence of qualitative aspect and other details that can be used to make decisions (Munro, 2005). In this scenario, one cannot make […]

Qualitative research design and methods

How qualitative and qualitative research approaches compare Qualitative research differs from quantitative research because participants exist in their natural setting. Unlike quantitative research where an investigator manipulates variables or recreates the natural setting in the lab, qualitative research aims at assessing behaviours in it’s undisturbed from. The investigator’s role also makes these research strategies quite […]

Research Methodology and Statistics

Various research approaches Correlation study This is the study that uses statistical measures to identify the relationship existing between variables. One of the advantages is that it provides room for simple observation of variables in their original set-up. It also protects the results hence no room for manipulation. Its disadvantage is that it does not […]

Fundamentals of Scientific method

Scientific method is defined as a process that is used to comprehend phenomena by developing a hypothesis, learning and experimentation in order to be able to forecast the phenomena again. There are different scientific inquiry processes. All these inquiries are based on three principles. These principles are making observations, forming hypothesis and hypotheses testing. The […]

A background research report on abuses of statistics

Executive Summary This report presents a number of notable abuses of statistics. Literature research on the topic has revealed that the abuses of statistics can occur during sample collection or during evaluation of the collected sample. Some of the contributing factors include bad or small sample, misleading graphs/charts, misleading percentages, incomplete data, guess estimates, loaded […]


A probability experiment refers to the analysis that depicts the possibility an event occurring in the future through the performance of a series of examination. Based on the results of a probability experiment, one can ascertain the truthfulness of some results or the chances of a certain event of interest occurring. The determination of a […]

Discrete Probability Distribution

A probability distribution lists all possible values for a random variable alongside their probabilities. If a random variable can take on specific predetermined values, then the probability distribution is discrete. Otherwise, the probability distribution is continuous. For example, the probability of getting a head or a tail when one flips a coin can be either […]

Concepts of Research Methods

The research does not comprehensively capture the research methodology employed in the conduction of the research. He or she should have vividly expressed the method used in the collection of information, normally, qualitative or quantitative. The importance of stating the research method used is to help the audience or readers of that work ease in […]

Geometry, Space, Manipulative, and Technology

Abstract In this research report, the focus of the study will be centered on the topic of geometry, space, manipulative, and technology. The specific discussion is to highlight key topics and organizing the mode of presentation of my work. The main objective is to broaden the understanding of the students in order to achieve the […]

Symmetric & Asymmetric algorithms

Introduction Algorithm is a field of study mainly found in either mathematics or computer science disciplines. In fact, it is an efficient technique, which takes the form of a finite list comprising of distinct instructions for conniving a function. In most cases, experts use algorithms to perform a number of roles such as data processing, […]

Calculus: a golden ball

Problem A manufacturing company wants to make a golden ball to be presented to the U.S rugby team, Eagles (See diagram below) if they win the world cup. Graphically, the lower curved part of the ball is represented by the curve f(x) = 2 – x while the central line through it is represented X-axis. […]

Nash Equilibrium Theory

Introduction Nash equilibrium is a challenge that has acquired many increasing applications in both the internet and economics. It is evident from the internet that it is hard to count all the Nash equilibrium of a two player game. This is so even if the entry of the matrix is 0 or even 1. Nevertheless, […]


Indefinite integrals The most important characteristic of calculus is the relationship between the concepts of derivative and integral. The relationship is summarized by simply saying that integration is the opposite of differentiation. The relationship is synonymous with subtraction and addition which we know serves to undo each other or division and multiplication which work on […]

A comparison of observations to measurement instruments

In scientific or social researches, observations and measurements are two key variables that shape the every aspect. Generally, each and every research includes observation and/or measurement instruments for its empirical aspect. The question however is how they interact and compare within any given research. Normally, researchers attempt to undertake systematic observation of the aspects they […]

Problem Solving Process in Mathematics

Problem solving is the practice of working through the “facts” of a problem or situation to get a solution. Problem solving entails the systematic use of “operations” to measure thinking abilities and skills. Problem solving practices help children to develop cognitive skills. Polya’s model offers four principles for solving different mathematical problems. The first principle […]

Student’s Mathematical Errors

Misconceptions and errors are common in mathematics. Teachers can find it hard to deal with a misconception because it arises when a student misinterprets or misapplies an existing mathematical idea. This is a critical challenge especially when the teacher fails to promote the best learning activities and interactions in the classroom. Teachers should understand that […]


Abstract One of the most commonly used statistical method for determining and measuring the relationship between two or more variables is the correlation. Based on the random integers that have been collected for performing three fictitious studies in this report the correlation has been calculated between variables. The findings from correlation are then analyzed using […]

Statistical Analysis of the Relationship Between the Two Variables

Abstract In the measurement of any relationship between variables, it is essential to use a correlation statistic to determine the strength of relationship between them. A data from three studies carried out on a given sample of population was obtained and analyzed by using both SPSS and Excel. The mean, standard deviation, range and F-test […]

Developing a Mathematical Disposition

Developing appositive disposition towards mathematics is a powerful way for viewing situations which includes a positive attitude, tendency of thinking and acting towards mathematics. Disposition extends learning of mathematics beyond the learning of procedures, concepts and applications. Mathematical disposition is very important to learners (Siemon et al, 11). A positive mathematical disposition is to be […]

t-Test Discussion

To determine whether the average data for two groups is different statistically, researchers have to look at the group mean in relation to the variability of the data. The t-test examines the ratio of the data groups analyzed in relation to each other. The t-test allows researchers to differentiate a clear signal of statistical change […]

Mathematics – Concept of Multiplication

In understanding multiplication, it is essential for students to comprehend addition rules, since they are interrelated in a big way. Multiplication is sometimes referred to as repeated addition whose applications are quicker and more effective. For example, instead of adding 4+4+4=12, multiplication simplifies it to 4*3=12. If there are for instance three students each with […]

The Effective Methods of Collecting Data in the Science Field

In the science field, scientists collect data all the time to make analysis and conclusions in the various fields. In the medical field for example, researchers use research data to find out about the type of medication they should administer. Therefore, it is very important for scientist to use effective methods of collecting data. Since […]

Positive and negative association between variables

Introduction Numerous Instances of interest in our lives entail two or more variables. These bring to our attention the knowledge of their interrelations’. The relationship between variables is among the leading in providing useful insights to their interdependency. This relationship or association between variables, in statistical presentations, may be described as positive, negative or null. […]

Game Theory in Life

Game theory is a proposition used for strategic decisions. Mathematical models are used to examine the interaction between the decision makers, the issue at hand, and the cooperation between the decision makers. Case Study The conflict issue is about Iran and Israel. A rivalry for influence and power is emerging between the two nations. Iran […]

Arthur Cayley’ Biography and Career

Early Life Arthur Cayley was born on 16 August 1821 in Richmond, England (Crilly). His parents, Henry Cayley and Maria Antonia Doughty, were business people in St. Petersburg, Russia and Arthur Cayley was born in England as his parents visited England briefly (Crilly). Arthur Cayley lived in Russia for eight years in his childhood. He […]

Quantitative data analysis

After having looked at quantitative data collection, Grinnell, Williams and Unrau move into a critical and important step in social research which, in this case, involves analyzing quantitative data covered in chapter 15. Quantitative data analysis is the process of making sense out of numbers in order to allow meaningful interpretation. This process involves four […]

The Biography and Works of Archimedes

Archimedes biography Archimedes was the most excellent and well-known ancient times mathematician. He lived between 287 and 212 (BCE). It is not easy to point out his best discoveries since he made numerous inventions in physics and arithmetic. His birthplace was Syracuse, the capital of Sicily. He was the heir to Phidias who was an […]

Measurements’ Standarts

Measurement refers to the process of determining the proportion of a physical quantity such as temperature, time, volume, area, weight and length. Measurement of length involves determination of the distance between two points. The measurement of temperature involves the quantification of how hot or cold a substance is in Kevin. Measurement of volume determines the […]

Pythagoras Theories

Introduction Pythagoras holds the distinction of holding three titles in modern thought. People consider him a mathematician, a philosopher, and a mystic. What is interesting about him is that it is difficult to put dates and places around him, despite the fact that he was one of the greatest mathematicians that ever lived. He did […]

Mandelbrot Set

A vector is a quantity that has both the magnitude as well as direction. The size of a vector is denoted by a scalar quantity which is considered as quantity that has only the magnitude but does not have direction. Vector quantities are mainly represented by an arrow that is drawn to scale and pointing […]

Algebra and Business

Today our society lives in the world of numbers because it became so important for people to value everything in numbers. A lot of modern information is perceived and analyzed not according to its qualitative parameters, but according to its quantitative characteristics. To understand the peculiarities of many phenomena, it is necessary for people to […]

Sofia Kovalevskaya

Introduction Sofia Kovalevskaya was one of the best mathematicians in the nineteenth century. She is known for the mathematical concepts and theorem that she developed. Her research and contributions were based on the studies that had been done earlier by other mathematicians and scientists. The concepts and theories that she developed are still used today […]

Z-score as a Number of Standard Deviations From the Mean

Introduction According to Heiman, a z-score denotes a number of standard deviations from the mean, which can be either positive, if the raw score is above the mean, or negative if the initial data index is below the mean (Heiman, 2003, p. 94). Arising from this, the presented assignment provides several variables. First, 17 minutes […]