Deviation Scores
Deviation Scores - Related Videos
01:10
Standard Deviation
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2023
The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The standard deviation value is small when the data are concentrated close to the mean, exhibiting slight variation or spread. The standard deviation value is never negative, it is either positive or zero. The standard deviation is larger when the data values are more spread out from the mean, which means the data values are exhibiting more...
01:27
Standard Deviation
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2024
Standard Deviation Standard deviation is a statistical measure quantifying the degree of variation or dispersion in a set of values. It is particularly useful in finance for assessing the volatility and risk associated with investment returns. By calculating the standard deviation, investors can gain a clearer understanding of how much an investment's returns deviate from the mean return over a given period, thus providing insight into the investment's overall risk profile. To compute the...
01:13
Mean Absolute Deviation
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2023
The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean. Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
02:32
Variation: Normal Distribution, Range, and Standard Deviation
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2020
In the field of psychology, there are several ways to organize measurements of a trait, feature, or characteristic (i.e., variables). Qualitative data, such as ethnicity, can be tabulated into a frequency count to provide information about the proportion, as well as the variety of groups in a sample or population. On the other hand, researchers can perform a wider set of calculations on quantitative data. The mean, mode, and median, for instance, are central tendency measures to identify a...
01:23
Deviation from Ideal Behaviour
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2026
Real gases do not perfectly obey the ideal gas laws, especially at high pressures and low temperatures or when they are about to condense to a liquid. These deviations occur due to intermolecular forces between gas molecules. Repulsive forces aid expansion and are significant when molecules are very close together, typically at high pressure. Attractive forces assist compression and have a longer range, being effective over several molecular diameters. They become significant when molecules are...
FAQs
The comparison group determines what counts as average, above average, or below average. A score may appear unusual relative to one group but less unusual relative to another. Psychologists therefore need a reference group that is relevant to the person or sample being assessed. Poorly matched or low-quality norms can make the resulting interpretation misleading.
Standard-deviation units place results on a common interpretive scale, even when tests use different raw-score ranges or measurement systems. This allows psychologists to examine relative standing without treating the original numerical scales as directly equivalent. The approach is especially useful when several psychological measures must be considered together in research or assessment.
A raw score shows the amount obtained on a particular test, but it does not by itself show how that result compares with the relevant group. Deviation scores add this comparative context by indicating whether performance falls above or below the group average and how unusual the difference is in standard-deviation terms.
They must identify the observed result, the appropriate reference-group mean, and the standard-deviation basis used for comparison. The observed value is then evaluated relative to those reference statistics, with attention to the direction and size of the resulting difference. Confirming that the group is relevant is essential before drawing psychological conclusions.
In standardized testing, these scores help convert an individual result into a form that can be interpreted against established group performance. They support norm-referenced assessment by showing relative position rather than relying only on the original test scale. This gives clinicians and researchers a more consistent way to communicate findings across examinees and measures.
Markedly positive or negative results can signal that an individual’s performance differs substantially from the reference-group average, prompting closer evaluation of the finding. In research, such scores help identify relative patterns within psychological data. In clinical assessment, they support interpretation of test results, but conclusions still depend on the relevance and quality of the comparison group.