In mathematics and statistics, the line that demarcates sequence and series are thin and blurred, due to which many think that these terms are one and the same thing. Nevertheless, the notion of sequence differs from series in the sense that sequence refers to an arrangement in the particular order in which related terms follow each other, i.e. it has an identified first unit, second unit, third unit and so forth. When a sequence follows a particular rule, it is called as progression. It is … [Read more...]

Mathematics is nothing but a number game. A number is an arithmetical value that can be a figure, word or symbol indicating a quantity, which has many implications like in counting, measurements, calculations, labelling, etc. Numbers can be natural numbers, whole numbers, integers, real numbers, complex numbers. Real numbers are further divided into rational numbers and irrational numbers. Rational numbers are the numbers which are integers and fractions On the other end, Irrational numbers … [Read more...]

In statistics, data is defined as the facts and figures collected together for the purpose of analysis. It is divided into two broad categories, qualitative data, and quantitative data. Further, the qualitative data is cannot be measured in terms of numbers and it is sub-divided into nominal and ordinal data. On the other hand, quantitative data is one that contains numerical values and uses range. It is sub-classified as discrete and continuous data. Discrete data contains finite values that … [Read more...]

Probability is a mathematical concept, which has now become a full-fledged discipline and is a vital part of statistics. Random experiment in probability is a performance that generates a certain outcome, purely based on chance. The results of a random experiment are called event. In probability, there are various types of events, as in simple, compound, mutually exclusive, exhaustive, independent, dependent, equally likely, etc. When events cannot occur at the same time, they are called … [Read more...]

The binomial distribution is one, whose possible number of outcomes are two, i.e. success or failure. On the other hand, there is no limit of possible outcomes in Poisson distribution The theoretical probability distribution is defined as a function which assigns a probability to each possible outcomes of the statistical experiment. The probability distribution can be discrete or continuous, where, in the discrete random variable, the total probability is allocated to different mass points … [Read more...]

In today's fast-paced world, statistics is playing a major role in the field of research; that helps in the collection, analysis and presentation of data in a measurable form. It is quite hard to identify, whether the research relies on descriptive statistics or inferential statistics, as people usually, lacks knowledge about these two branches of statistics. As the name suggests, descriptive statistics is one which describes the population. On the other end, Inferential statistics is used to … [Read more...]

In geometry, there are many types of a quadrilateral i.e. parallelogram, rhombus, square, rectangle, trapezium, and kite, which share common characteristics, due to which people face trouble in understanding these figures. A rhombus can be referred as a slanting square, whose adjacent sides are equal. On the contrary, a parallelogram is a slanting rectangle with two sets of parallel opposite sides. The basic difference between rhombus and parallelogram lies in their properties, i.e. all the … [Read more...]

Ratio and proportion are two mathematical concepts which have end number of practical applications in different spheres of life. The ratio is used to compare the quantities of two different categories like the ratio of men to women in the city. Here, men and women are the two different categories. On the contrary, Proportion is used to find out the quantity of one category over the total, like the proportion of men out of total people living in the city. Ratio defines the quantitative … [Read more...]

Correlation and Regression are the two analysis based on multivariate distribution. A multivariate distribution is described as a distribution of multiple variables. Correlation is described as the analysis which lets us know the association or the absence of the relationship between two variables 'x' and 'y'. On the other end, Regression analysis, predicts the value of the dependent variable based on the known value of the independent variable, assuming that average mathematical relationship … [Read more...]

To make the generalisation about the population from the sample, statistical tests are used. A statistical test is a formal technique that relies on the probability distribution, for reaching the conclusion concerning the reasonableness of the hypothesis. These hypothetical testing related to differences are classified as parametric and nonparametric tests.The parametric test is one which has information about the population parameter. On the other hand, the nonparametric test is one where … [Read more...]