Normal Distribution

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Arithmetic

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Chamberlain College of Nursing

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Running Head: NORMAL DISTRIBUTION 1

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NORMAL DISTRIBUTION 2

Normal Distribution

A normal distribution is defined by a probability bell curve showing the mean and

standard deviation of a set of numerical or quantitative data (Edelmann et al., 2020). Here, the

mean is used to identify the location of the x-axis on the graph while standard deviation is used

to determine the height of the curve on the y-axis. A normal distribution is symmetrical

naturally, but not all symmetrical distributions are normal (Edelmann et al., 2020).

In a clinical setting, there are various variables that are normally distributed. Examples of

these variables are Intelligent quotient scores (IQ) and the blood pressure readings of different

individuals. In an IQ score graph, the most frequent scores are clustered around the center, where

the mean is 100, and the standard deviation is 15. Based on the empirical rule, around 68% of the

individuals in a particular population have IQ scores ranging from 85 to 115, thus assuming a

bell-shaped curve (Edelmann et al. 2020).

The systolic blood pressure reading of adults in a clinical setting also follows a normal

distribution curve. In this regard, the mean is 10 mm Hg, while the standard deviation is 13 mm

Hg. Generally, blood pressure is affected by different factors that trigger the change in the

curve's flow. These factors may be stress, exercise, diet, age, to mention but a few (Edelmann et

al. 2020).

Based on the data dispersion between the two variables, the IQ score is likely to have a

greater standard deviation as compared to systolic blood pressure (Seijas-Macías et al., 2020).

The standard deviation measures the dispersion or, rather, the spread of data distribution. The

more the data has spread out, the greater the standard deviation. Therefore, in this case, IQ score

has more dispersed data as compared to systolic blood pressure.

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Running Head: NORMAL DISTRIBUTION 1 Student’s Name Institutional Affiliation Course Professor’s Name Date NORMAL DISTRIBUTION 2 Normal Distribution A normal distribution is defined by a probability bell curve showing the mean and standard deviation of a set of numerical or quantitative data (Edelmann et al., 2020). Here, the mean is used to identify the location of the x-axis on the graph while standard deviation is used to determine the height of the curve on the y-axis. A normal distribution is symmetrical naturally, but not all symmetrical distributions are normal (Edelmann et al., 2020). In a clinical setting, there are various variables that are normally distributed. Examples of these variables are Intelligent quotient scores (IQ) and the blood pressure readings of different individuals. In an IQ score graph, the most frequent scores are clustered around the center, where ...
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