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Running head: RESEARCH METHODS IN BEHAVIOURAL SCIENCES 1
Research Methods in Behavioural Sciences
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RESEARCH METHODS IN BEHAVIOURAL SCIENCES 2
Normal distribution can also be referred to as the Gaussian distribution, and is defined
as a commonly occurring constant probability distribution. In other words, it can be described
as a function that talks about the likelihood of a given number falling in between two real
numbers in definite contexts.
Question 1
Generally, normal distribution is a useful concept in both research and statistics. This
is because scientists can draw various influential conclusions and statements about data
which clearly fits into normal distribution. These statements and conclusions however, may
not be done about data that cannot be suitable for normal distribution. Consequently,
researchers and statisticians in many cases, transform various distributions into normal
distribution, since normal distributions help in providing more statistical information
(Gravetter & Forzano, 2012.
The benefit of normal distribution can be understood better by first having knowledge
of the central limit theorem. The principle idea behind this theorem is that under mild
circumstances, the mean of several random variables obtained from the same distribution is
usually relatively normally distributed, and the original form of the distribution is irrelevant.
Question 2
In converting a given distribution to the standard normal distribution, the z-score is an
important statistical tool. It provides information on how distant a value is from the mean of
the standard normal distribution. The z-score is also known as a standard score, since it
standardizes the distribution (Gravetter & Forzano, 2012. This is to mean that it is used for
comparing observations that are obtained from different populations with different standard
distributions, different means and/or different types of distribution.
Question 3

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RESEARCH METHODS IN BEHAVIOURAL SCIENCES 3
Like the z-score, percentages are also used to convert scores, which are in turn used to
construct percentiles. While the z-score indicates the total number of standard deviations that
lie either below or above the mean, percentages indicate the proportion of the individuals,
who lie either at the below or above of an average (Gravetter & Forzano, 2012.
Question 4
It is useful to represent the area under the standard, because the area indicates all
possible occurrences of a particular variable. In other words, this area under the curve shows
the likelihood of the existence of a random variable in a normal distribution, and assessing
the probability is done by consulting the areas under the normal curve, while the raw values
are converted into z-score (Gravetter & Forzano, 2012). For example, assuming that we have
the variable “anorexia prevalence”, the total area that lies below the normal distribution curve
will be a representative of the total occurrences, while particular areas below the curve will
represent particular probabilities expressed in proportions.

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Research Methods in Behavioural SciencesNameInstitutional affiliationNormal distribution can also be referred to as the Gaussian distribution, and is defined as a commonly occurring constant probability distribution. In other words, it can be described as a function that talks about the likelihood of a given number falling in between two real numbers in definite contexts.Question 1Generally, normal distribution is a useful concept in both research and statistics. This is because scientists can draw various influential conclusions and statements about data which clearly fits into normal distribution. These statements and conclusions however, may not be done about data that cannot be suitable for normal distribution. Consequently, researchers and statisticians in many cases, transform various distributions into normal distribution, since normal distributions help in providing more statistical information (Gravetter & Forzano, 2012. The benefit of normal distribution can be understood better by first having knowledge of the central limit theorem. The principle idea behind this theorem is that under mild circumstances, the mean of several random variables obtained from the ...
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