Mathematics and Statistics Paper Examples

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 […]

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 […]

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 […]

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 […]

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 […]

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 […]


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 […]

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 […]

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 […]