How to Calculate and Solve for Mean | Mechanical Properties

The image above represents the mean.

To compute for mean, one essential parameter can be used and this parameter is Set of data (X).

The formula for calculating mean:

Mean = (∑X) / N

∑X = The sum of the set of data
N = The total number of data

Given an example;
Find  the mean when the set of data is 2.

This implies that;

∑X = The sum of the set of data = 2
N = The total number of data = 1

Mean = (∑X) / N
Mean = 2 / 1
Mean = 2

Therefore, the mean is 2.

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How to Calculate and Solve for Number Average Molecular Weight | Polymer

The image of mean is represented below

To compute for mean, two essential parameters are needed and these parameters are Set of data and Corresponding frequencies accordingly.

The formula for calculating mean:

Mean = ∑fx / ∑f

Where;

∑fx = Summation of the product of the data and its corresponding frequency.
∑f = Summation of the frequencies

Let’s solve an example;
Find the mean when the set of data is 12 and the corresponding frequencies accordingly is 2.

This implies that;

x f (fx) fx
12 2 (12 x 2) 24

∑fx = 24
∑f = 2

Mean = ∑fx / ∑f
Mean = 24 / 2
Mean = 12

Therefore, the mean is 12.

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How to Calculate and Solve for Standard Normal Variable | Probability

The image above represents standard normal variable.

To compute for standard normal variable, three essential parameters are needed and these parameters are value (x), mean (μ) and standard deviation (σ).

The formula for calculating standard normal variable:

z = (x – μ)σ

Where;

z = Standard Normal Variable
x = Value
μ = Mean
σ = Standard Deviation

Let’s solve an example;
Find the standard normal variable when the value is 4, the mean is 20 and the standard deviation is 26.

This implies that;

x = Value = 4
μ = Mean = 20
σ = Standard Deviation = 26

z = (x – μ)σ
z = (4 – 20)26
z = (-16)26
z = -0.615

Therefore, the standard normal variable is -0.615.

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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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