How to Solve and Calculate the Mean or Average of Discrete and Continuous Numbers

Mean is a measure of central tendency and is considered to be a very important parameter of statistics. Mean or Average is the sum of the data sets or numbers or values divided by the number of numbers or data sets or values.

What is a discrete number?

A discrete number is a standalone number. It might be a whole number or fractional number but it stands on its own with no extension or range. An example of a discrete number is 5, 12, 10.6, 17, 20

What is a continuous number?

A continuous number is a range of numbers packaged as a single entity. An example of a continuous number is 5 – 10, 20 – 30, 25 – 50.

There are two possibilities in calculating the mean of a set of discrete numbers. One can either compute the mean via the application of frequency or no frequency at all.

For Example: A set of discrete numbers such as these:

4, 5, 6, 7, 8, 9

These numbers all occur once and have a frequency of 1 per number.

Therefore, if you want to create a table for the number and frequency, it looks like this:

Number        4, 5, 6, 7, 8, 9

Frequency    1, 1, 1, 1, 1, 1

You can clearly see that there is no need for applying frequency to calculate the mean of the above set of numbers. Application of frequency on a large set of numbers makes it easier to organize and compute the mean.

Now, for a set of numbers such as these:

4, 4, 4, 2, 4, 5, 3, 3, 3, 2, 1, 1, 6, 4, 3, 2, 4, 2, 5, 2, 1

You can see that some of the discrete numbers occur more than once and this implies that application of frequency is useful and makes the computing of mean easier and comprehensive.

From the display of numbers above you can see that the number 4 occurred times, the number 2 occurred times, the number 5 occurred 2 times, the number 3 occurred 4 times, the number 1 occurred 3 times, the number 6 occurred 1 time.

Continue reading How to Solve and Calculate the Mean or Average of Discrete and Continuous Numbers

How To Get Answers and Steps For a Function of a Function Differentiation (Calculus) Problem Using The Calculator Encyclopedia

According to Wikipedia,

In mathematicsdifferential calculus is a sub-field of calculus concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus, the study of the area beneath a curve.

Nickzom Calculator calculates function of a function for the following formats:

    • (expression)n
    • k(expression)n
    • sin(expression)
    • ksin(expression)
    • cos(expression)
    • kcos(expression)
    • tan(expression)
    • ktan(expression)
    • sinh(expression)
    • ksinh(expression)
    • cosh(expression)
    • kcosh(expression)
    • cot(expression)
    • kcot(expression)
    • cosec(expression)
    • kcosec(expression)
    • In(expression)
    • kIn(expression)
    • loga(expression)
    • kloga(expression)
    • e(expression)
    • ke(expression)
    • a(expression)
    • ka(expression)

k, a and in the formats above represents constants.

The expression represents a polynomial, quadratic or linear mathematical statement, such as:

  • 3x + 5
  • 4x2 + 2x + 1
  • 2x3 + 7x + 12
  • 5x4 + 3x3 + 4x2 + 12x + 15

So implementing the expressions and applying constant numbers here is a list of what the function of a function formats look like that can be solved by Nickzom Calculator and also display the steps (workings).

      • (2x2 + 3x + 5)7
      • 4(2x + 1)6
      • sin(2x2 + 3x + 5)
      • 2sin(3x + 5)
      • cos(3x + 5)
      • 2cos(3x + 5)
      • tan(2x3 + 3x2 + 4x + 5)
      • 3tan(7x + 6)
      • sinh(2x4 + 12)
      • 2sinh(3x + 10)
      • cosh(x5 + 2x3 + 11)
      • 3cosh(2x3 + 12x + 17)
      • cot(2x + 1)
      • 3cot(3x + 5)
      • cosec(x + 12)
      • 7cosec(2x + 7)
      • In(x3 + 2x + 7)
      • 2In(2x2 + 3x + 12)
      • log3(3x + 7)
      • 2log2(x2 + 4x + 8)
      • e(3x + 5)
      • 2e(2x + 3)
      • 2(7x + 2)
      • 7 . 2(6x + 7)

Continue reading How To Get Answers and Steps For a Function of a Function Differentiation (Calculus) Problem Using The Calculator Encyclopedia

The Importance of STEM (Science, Technological, Engineering and Mathematics) in Nigeria

Every new development, be it positive or negative has its importance and disadvantages as well. Its importance gives it a penetration advantage to be valued and appreciated in spite of its disadvantages. Just like the reality of sickness created opportunities for doctors to be valued and appreciated in their sphere of influence for saving lives, Science, Technology, Engineering and Mathematics have not done any less. Not only does it create opportunities, it also suggests ways those opportunities can be harnessed.

 

In our present age of growing advancement, the importance of STEM (Science, Technology, Engineering and Mathematics) cannot be overemphasized as its relevance finds expression in our day to day activities as humans ranging from the alarm clocks that greet us in the morning, the alarm bells that alerts us of a visitor, the automobiles that convey us to our places of work and the stair lifts that finally lands us on the floor of our offices. Its importance is not only appreciated in the industries, roads and all other obvious infrastructure where it is easily spotted but has also been domesticated such that some equipment used in the preparation of sumptuous meals owe its allegiance to them.

Continue reading The Importance of STEM (Science, Technological, Engineering and Mathematics) in Nigeria

Nickzom Calculator Solves for Lowest Common Multiples and Highest Common Factor in Pre Algebra

According to Wikipedia,

In arithmetic and number theory, the least common multiplelowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(ab), is the smallest positive integer that is divisible by both a and b.] Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero. However, some authors define LCM (a,0) as 0 for all a, which is the result of taking the LCM to be the least upper bound in the lattice of divisibility.

The LCM is the “lowest common denominator” (LCD) that can be used before fractions can be added, subtracted or compared. The LCM of more than two integers is also well-defined: it is the smallest positive integer that is divisible by each of them.

According to Math is Fun,

The highest common factor or greatest common divisor is the highest number that divides exactly into two or more numbers. It is the “greatest” thing for simplifying fractions!

Nickzom Calculator is capable of computing for a small or large range of numbers in determining the lowest common multiple or highest common factor

When it comes to lowest common multiple, popularly known as LCM for a range of numbers, it takes the multiples of all the numbers that can divide the range of numbers till the range of numbers are all 1.

When it comes to the highest common factor, popularly known as HCF or GCD, it takes the multiple of the numbers that can only divide through all the ranges of numbers simultaneously.

If you have been following this blog by now, you must have known that the first thing to do is?

Proceed to the Calculator Map

Continue reading Nickzom Calculator Solves for Lowest Common Multiples and Highest Common Factor in Pre Algebra

How to Get Answers of a 2 By 2 Matrix Linear Programming Maximization Problem Without Artificial Variables Using Nickzom Calculator

According to Google Dictionary,

Linear Programming is a mathematical technique for maximizing or minimizing a linear function of several variables, such as output or cost.

According to Wikipedia,

Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization).

You might be wondering how possible is it for there to be a calculator that can really solve linear programming calculations and show the workings at the same time. My dear, Nickzom Calculator does that for you at the very best of all capabilities.

Nickzom Calculator can not only solve a 2 by 2 matrix linear programming problem but can also solve for an m by n matrix problem. At the moment, Nickzom Calculator can handle:

  • Maximization Without Artificial Variable(s)
  • Minimization Without Artificial Variable(s)

Computations of Linear Programming with artificial variables is on the way and I do promise to inform you once it is integrated into the calculator encyclopedia via this blog.

Nickzom Calculator makes use of simplex method to compute the result for linear programming problems. There is an iterative computation of steps to obtain the final result which is when there is no further negative entry in the index/third/P row of which a basic solution emerges for x and y variables with all the other variables equal to 0. At this point, the optimal solution and optimal value is given.

Continue reading How to Get Answers of a 2 By 2 Matrix Linear Programming Maximization Problem Without Artificial Variables Using Nickzom Calculator

Mathematical Ratios Can Be Solved By Nickzom Calculator – The Calculator Encyclopedia

According to Math Is Fun,

A ratio says how much of one thing there is compared to another thing.

According to Wikipedia,

A ratio may be considered as an ordered pair of numbers, as a fraction with the first number in the numerator and the second as denominator, or as the value denoted by this fraction. Ratios of counts, given by (non-zero) natural numbers, denote positive rational numbers, and as such may occasionally result in natural numbers.

According to WikiHow,

Ratios are mathematical expressions that compare two or more numbers. They can compare absolute quantities and amounts or can be used to compare portions of a larger whole. Ratios can be calculated and written in several different ways, but the principles guiding the use of ratios are universal to all.

Nickzom Calculator+ (Professional Version) – The Calculator Encyclopedia solves ratio in mathematics for any number of fractional parts.

For the calculator encyclopedia to be able to solve and present you a ratio. you must have to know the number of fractional parts you desire to compute the ratio for.

Continue reading Mathematical Ratios Can Be Solved By Nickzom Calculator – The Calculator Encyclopedia

Mathematical Surd Operations can be Solved by Nickzom Calculator – The Calculator Encyclopedia

According to Laerd Mathematics,

Surds are numbers left in root form (√) to express its exact value. It has an infinite number of non-recurring decimals. Therefore, surds are irrational numbers.

According to Math is Fun,

  • When it is a root and irrational, it is a surd
  • Not all roots are surds

Nickzom Calculator solves calculations on surd and these calculations are categorized into:

  • Surd Simplification A
  • Surd Simplification B
  • ‘Binary’ Surd Addition and Subtraction
  • ‘Tenary’ Surd Addition and Subtraction
  • Surd Multiplication
  • Surd Division
  • Surd Expansion
  • Surd Rationalization

Nickzom makes use of a certain procedure to help the user easily input the surd values which is clearly represented in the image below

For the purpose of this post, we would be handling a step by step guide on how to solve surd rationalization using Nickzom Calculator.

One can access Nickzom Calculator via any of these channels:

Web – https://www.nickzom.org/calculator

Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Now, click on Surd Rationalization, then enter the values appropriately using the user manual format.

Now, click on calculate to display the result.

I have seen that this steps and procedures might me cumbersome and a bit confusing for a reader or user. Therefore, an update would be coming soon with a new format of solving surd operations that can be easily understood and analysed. For now, with a bit of effort it could be understood or interpreted too.

Watch Out for the Update, Guys!

Nickzom Calculator+: The Latest Trend In Solving Calculations

There is an ever-growing demand for problems and challenges to receive immediate solutions and prompt response. Society has become fast-paced, giving edge to only those who can raise their heads high and compete. The education world is not left out in this speed race. If ever there has been a push for students to perform calculations at a faster pace, it is now. One thing is sure though, in the clamour for speed, it is imperative not to sacrifice accuracy. These are two properties that must not be compromised, one for the other, because they go hand-in-hand.

Having identified the pressing need for an effective and efficient way to handle the series of calculations that plague science and engineering students, both in secondary and tertiary institutions, Nicholas Idoko, a young first-class graduate of Electrical Electronic Engineering from the Federal University of Technology Owerri, put on his thinking hat and leveraged his proficiency in programming to develop a software that provides ease and respite to anyone faced with the task of performing calculations in various fields of science and engineering.
On the 10th of April, 2018, Nickzom Calculator+ version 1.2.2 was launched. Basically, this software performs all your calculations and displays the step-by-step process taken to generate the answer. Complete with all the requisite scientific and engineering functions, the only requirement from the user is to input the correct parameters or variables for the specific mathematical operation, the problem solving process is then handled by the calculator. It is seamless, effective and highly efficient.

Nickzom Calculator+ can be deployed in over 20 fields in Physics such as: Electromagnetic Field, Electric Field, Gas Laws, Energy Quantization, Radioactivity, Equilibrium, Gravitational Field, Heat Energy, Machines, Elasticity, Simple A.C Circuit, Wave-Particle Behaviour, Energy and Power, Vector Resultant, Projectile, Motion, Pressure, Magnetic Field and Electrolysis.

In Mathematics, Nickzom Calculator+ boasts of the ability to accurately and speedily provide solutions in over 28 areas: Algebraic Identities, Logarithm, Factorial, Arithmetic and Geometric Progressions, Matrices, Complex Numbers, Partial Fraction, Mensuration, Pre-algebra, Pythagoras Theorem, Prime Numbers, Vectors, Surd, Permutations and Combinations, Simultaneous and Polynomial Equations, Indices, Sine, Cosine and Tangent Rule, Binomial Series, Longitudes and Latitudes, Compound and Simple Interests, Quadratic Equations, Surds, Statistics and much more.

Engineering is not left out. Nickzom Calculator+ can conveniently solve calculations in over 15 key areas: Calculus, Laplace Transforms, Linear Algebra, Linear Programming, Mechanics, Materials and Metallurgical Engineering, Microwave Analysis, Basic Electronic and Electrical Engineering, Chemical Engineering, Petroleum Engineering, Mechanical Engineering, Soil Mechanics and Ordinary Differential Equations.

There is more, this highly useful software offers users the ability to solve conversion related problems. Through its section called The Switches (Conversion), it deploys conversion techniques in 30 core areas: angle, area, number base, coordinaes, data, data transfer, electricity, energy, engineering, fluid, force, fraction, frequency, fuel economy, heat, length, light, magnetism, prefix, pressure, power, radiology, sound, speed, temperature, time, typography, volume, volume-lumber, weight and mass unit conversions.
Other important fields that enjoy the versatility of Nickzom Calculator+ include: Chemistry, Geology, Economics, Finance and Accounting.

Indeed, it is a full-package! One that will always be relevant and of utmost importance to students (and even professionals). It is certain that occasions arise when people get stuck in solving problems filled with calculations. There’s no gain saying that with the availability of Nickzom Calculator+ in your smartphone or on your personal computer (PC), the time and energy consumed in the process is greatly reduced. Not only that, you are at no loss on how the results are arrived at because the steps are displayed with vivid explanations.

Premised on its usefulness and value-driven innovation, Nickzom Calculator+ is enjoying increasing recommendation and public acclaim. Since its launch, it has been featured on several platforms, some of which include: Channels TV Tech Trends program, Techpoint.ng and Linda Ikeji’s blog. This further buttresses its credibility and reliability as a new and ingenious innovation. Much of the public acclaims are in form of reviews on the Google Play Store where the mobile app version of the software can be downloaded. These reviews are a genuine representation of persons who have used the Nickzom Calculator+ to perform various calculation tasks.

“The app is a great teacher, I so much like the fact that it shows me all working, I don’t need to start thinking how it came about such answer” writes Chukwu Chinomnso. Another user, Pradeep Jayani, writes, “Excellent work done and best app I’ve ever seen on Google app…” Collins Nnadozie’s review says, “The Application is top notch. I’m very impressed by the quality. It delivers what it promises.”

Considering the variety of functionalities offered by Nickzom Calculator+, it is worthy to note that it is very much affordable. The web version of the app is valued at N1500. After the initial purchase, users can renew their subscription annually at the same N1500 fee. To obtain a free version of the software, users are advised to check the demo version called Nickzom Calculator which is also obtainable on Google Play Store for android users. For iOS users, Nickzom Calculator+ can be downloaded on iTunes. Users can search for the app on the respective app stores or follow the links below:

Android users:
• Google Play Store: https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
• Google Play Store: https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
iPhone users (iOS):
• iTunes: https://itunes.apple.com/us/app/nickzom.calculator/id1331162702?ls=1&mt=8

The web version can be accessed online on any browser via this link: https://www.nickzom.org/calculator/

So, the question is: Why not join the fast-paced life, without sacrificing accuracy? If you are a parent, and you’ve observed how your child or ward struggles with calculations and perhaps you lack the time to assist them, then Nickzom Calculator+ is your best bet. Here’s why: it is built not only to solve the calculations, but to also teach how the solution was arrived at. How many calculators known to you can do that? Purchasing this calculator is an investment into making your child or ward calculation savvy. If you’re a student in secondary school, undergraduate or a professional in the science and engineering clime, then you must understand how important speed and precision are in performing tasks related to your discipline. This is where, Nickzom Calculator+ comes in handy. Of a truth, calculations usually follow laws, principles and formulas, when you are exposed to the principle used in solving one problem, you can always apply that principle in solving related tasks. This is the creativity that underscores Nickzom Calculator+.