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.

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Why Should Everyone Use Nickzom Calculator?

Nickzom Calculator

 

The Nickzom Calculator has been in existence since 2013, launched on the 2nd of December, and has had major developments in its functionality till date with the Pro version Nickzom Calculator+ coming in place. This app is user friendly, easy navigation and requires no Internet connection after installation. Not enough, there’s more.

The Nickzom Calculator is a web, mobile and desktop platform that solves calculation problems and display the steps of the solution right to the final answer.

Now imagine you have a calculation to solve and you do not know how to go about it or you have consulted your textbook to see how various questions are solved and you’re utterly disappointed because, they solved only the simpler ones, or you don’t just get how the problem was solved. It is because of situations like this that Nickzom Calculator exists. This app solves calculations on Mathematics, Physics, Engineering, Chemistry, Finance, Accounting, Geology, Economics, Unit Conversions etcetera for quick and easy understanding.

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Nickzom Calculator Solves Future Value Calculations

According to Investopedia,

Future value (FV) is the value of a current asset at a specified date in the future based on an assumed rate of growth.

If, based on a guaranteed growth rate, a $10,000 investment made today will be worth $100,000 in 20 years, then the FV of the $10,000 investment is $100,000. The FV equation assumes a constant rate of growth and a single upfront payment left untouched for the duration of the investment.

According to Wikipedia,

Future value is the value of an asset at a specific date. It measures the nominal future sum of money that a given sum of money is “worth” at a specified time in the future assuming a certain interest rate, or more generally, rate of return; it is the present value multiplied by the accumulation function. The value does not include corrections for inflation or other factors that affect the true value of money in the future. This is used in time value of money calculations.

Nickzom Calculator+ (Professional Version) – The Calculator Encyclopedia has a Future Value Calculator this calculator requires certain parameters such as:

  • Number of Periods
  • Starting Amount
  • Interest Rate
  • Periodic Contribution
  • Contribution at the beginning or end of each payment.

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The Calculator Encyclopedia Converts Units of Universal Fuel Economy

Nickzom Calculator converts 4 units in fuel economy such as:

  • US Miles per gallon
  • UK Miles per gallon
  • Kilometers per liter
  • Liters per 100 Kilometers

According to Wikipedia – Fuel Economy in Automobiles,

The fuel economy of an automobile relates distance traveled by a vehicle and the amount of fuel consumed. Consumption can be expressed in terms of volume of fuel to travel a distance, or the distance travelled per unit volume of fuel consumed. Since fuel consumption of vehicles is a significant factor in air pollution, and since importation of motor fuel can be a large part of a nation’s foreign trade, many countries impose requirements for fuel economy.

For the purpose of this post, let’s convert US Miles per gallon to Kilometers per liter.

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Nickzom Calculator Solves Drag Force in Particle Size Analysis for Soil Mechanics

In civil engineering, there are situations where matters of the soil is of utmost importance. Nickzom Calculator solves calculation problems in soil mechanics.

Under Soil Mechanics, there is Soil Test and Particle Size Analysis section.

Today, I would love to introduce you all to Drag Force under Particle Size Analysis.

One can access Nickzom Calculator+ (Professional Version) – The Calculator Encyclopedia via any of these channels:

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

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

Parameters to get solution for Drag Force in Particle Size Analysis

  • Viscosity
  • Radius of Sphere
  • Velocity

Nickzom Calculator+ (Professional Version) – The Calculator Encyclopedia solves this problems and shows the steps.

Now, click on Soil Mechanics

Then, click on Particle Size Analysis

Now Click on Drag Force

Enter the values of the parameters

Lastly, Click on Calculate

Immediately, the answer, formula and workings is displayed for your very own understanding.

The Calculator Encyclopedia now has a Return On Investment (ROI) Calculator

First and Foremost, what is a Return On Investment?

According to Investopedia,

Return on Investment (ROI) is a performance measure used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments. ROI tries to directly measure the amount of return on an particular investment, relative to the investment’s cost. To calculate ROI, the benefit (or return) of an investment is divided by the cost of the investment. The result is expressed as a percentage or a ratio.

According to Wikipedia,

Return on investment (ROI) is a ratio between the net profit and cost of investment resulting from an investment of some resources. A high ROI means the investment’s gains favorably to its cost. As a performance measure, ROI is used to evaluate the efficiency of an investment or to compare the efficiencies of several different investments. In purely economic terms, it is one way of relating profits to capital invested. Return on investment is a performance measure used by businesses to identify the efficiency of an investment or number of different investments.

According to InvestingAnswers,

Return on investment (ROI) measures the gain or loss generated on an investment relative to the amount of money invested. ROI is usually expressed as a percentage and is typically used for personal financial decisions, to compare a company’s profitability or to compare the efficiency of different investments.

Nickzom Calculator+ (Professional Version) – The Calculator Encyclopedia solves ROI calculations and gives one the annualized ROI.

Like every other calculations there are parameters you need to input its values to get a certain result.

The parameters for Nickzom Calculator+ ROI (Return On Investment) are:

  • Amount Invested
  • Amount Returned
  • Investment Length (Number of Years)

One can access Nickzom Calculator+ (Professional Version) – The Calculator Encyclopedia via any of these channels:

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

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

Let’s get started,

First, Click on Calculator Map

Now, click on Financial Calculator,

Click on ROI Calculator

Now, enter the values of the parameters

Click on Calculate button

There you have it, very simple and easy going with an accurate answer.

Nickzom Calculator Solves Porosity in Sonic Log under Geology – The Calculator Encyclopedia

According to Wikipedia,

Sonic logging is a well logging tool that provides a formation’s interval transit time, designated as , which is a measure of a formation’s capacity to transmit seismic waves. Geologically, this capacity varies with lithology and rock textures, most notably decreasing with an increasing effective porosity

Nickzom Calculator+ (Professional Version) – The Calculator Encyclopedia solves calculations on porosity for sonic log and shows the steps carefully.

The parameters to input to get the answer for your porosity problem are:

  • Internal Transit Time of Formation
  • Internal Transit Time of Matrix
  • Internal Transit Time of the Fluid in the Well Bore
  • Compaction Factor

Select Geology from the drop down.

Continue reading Nickzom Calculator Solves Porosity in Sonic Log under Geology – The Calculator Encyclopedia

Nickzom Calculator Solves Calculations on Electric Field (Physics)

Nickzom Calculator solves for 9 parameters on Electric field such as:

  • Heating Effect of Current
  • Voltage
  • Electric Power
  • Capacitance
  • Electric Force
  • Electric Field Intensity
  • Electric Potential Difference
  • Electric Work Done
  • Energy Stored in a Capacitor

Using Nickzom Calculator to get the value of this parameters is relatively very easy and can be got in a second.

For the purpose of this post, let us find the value of electric field intensity.

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The Importance and Value of Calculators in Schools

With constant advancement in technology there is no doubt, the need to keep up with the dynamics as well as involving technology in every intrinsic part of society. Not doing so can leave a community or nation at large at the mercy of the developed worlds. The simple calculator finds its invention nearly fifty years ago, growing from the simple Abacus, to the basic digital calculator that can perform simple four-function operations (addition, division, multiplication and subtraction) to the more sophisticated machine capable of executing highly technical algebraic symbolic manipulations at high accuracy and speed. The calculator comes in various types, models, sizes and design to fit various budget and user’s preference, very portable and has found its way into various institution including schools.

But what does this mean for learning institutions?

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Nickzom Calculator Solves Linear Algebra

Linear Algebra is a matrix based mathematical computation analysis.

According to Wikipedia,

Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as linesplanes and rotations. Also, functional analysis may be basically viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in most sciences and engineering areas, because it allows modeling many natural phenomena, and efficiently computing with such models. For nonlinear systems, which cannot be modeled with linear algebra, linear algebra is often used as a first-order approximation.

Nickzom Calculator solves 8 major sections of Linear Algebra such as:

  • Matrix Arithmetic
  • Determinant of a Square Matrix
  • Minors and Cofactors of a Square Matrix
  • Transpose of a Matrix
  • Adjoint of a Square Matrix
  • Inverse of a Square Matrix
  • Eigenvalues and Eigenvectors of a Square Matrix
  • Simultaneous Equation using Inverse Method

Under, Matrix Arithmetic, there are 6 sub sections which are:

  • Addition of Matrices
  • Subtraction of Matrices
  • Multiplication of a Matrix by a Scalar
  • Multiplication of Two Matrices
  • Division of a Matrix by a Square Matrix

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