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The '''percentile rank''' of a score is the percentage of scores in its [[frequency distribution]] that are the same or lower than it. For example, a test score that is greater than or equal to 75% of the scores of people taking the test is said to be at the 75th [[percentile rank]].
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Percentile ranks are commonly used to clarify the interpretation of scores on standardized tests. For the [[test theory]], the percentile rank of a raw score is interpreted as the percentages of examinees in the norm group who scored at or below the score of interest.<ref name="CrockerAlgina1986">Crocker, L., & Algina, J. (1986). ''Introduction to classical and modern test theory.'' New York: Harcourt Brace Jovanovich College Publishers. ISBN 0-03-061634-4</ref><ref>{{cite web|last=Schultzkie|first=Lisa|title=Percentiles and More Quartiles|url=http://regentsprep.org/REgents/math/ALGEBRA/AD6/quartiles.htm|publisher=Oswego City School District Regents Exam Prep Center|accessdate=26 November 2013}}</ref>
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Percentile ranks (PRs) are often normally distributed (bell-shaped) while [[normal curve equivalent]]s (NCEs) are uniform and rectangular in shape. Percentile ranks are not on an equal-interval scale; that is, the difference between any two scores is not the same between any other two scores whose difference in percentile ranks is the same. For example, 50&nbsp;−&nbsp;25&nbsp;=&nbsp;25 is not the same distance as 60&nbsp;−&nbsp;35&nbsp;=&nbsp;25 because of the bell-curve shape of the distribution. Some percentile ranks are closer to some than others. Percentile rank 30 is closer on the bell curve to 40 than it is to 20.
 
The mathematical formula is
 
:<math>\frac{\text{c}_\ell + 0.5 f_i }{N} \times {100%}\ </math>
 
where c<sub>''ℓ''</sub> is the count of all scores less than the score of interest, ''ƒ''<sub>''i''</sub> is the frequency of the score of interest, and ''N'' is the number of examinees in the sample. If the distribution is [[Normal distribution|normally]] distributed, the percentile rank can be inferred from the [[standard score]].
 
[[Image:PR and NCE.gif|thumb|350px|Percentile ranks (PRs or percentiles) compared to [[Normal curve equivalent]]s (NCEs)]]
 
==See also==
{{portal|Statistics}}
*[[Percentile]]
 
==References==
{{reflist}}
 
{{statistics}}
 
[[Category:Statistical terminology]]
[[Category:Student assessment and evaluation]]
 
 
{{Statistics-stub}}
 
[[zh:百分位数]]

Latest revision as of 23:11, 4 January 2015

Have you at any time puzzle that why UGG boots sale has developed the most irresistible pop tradition close to the globe in the latest years. What can they bring us comparing with other renowned boots?

A pair of UGG boots is in a position to convey your toes cozy emotion as the treatment of sunshine. Just about every of them are made of the smooth Australian Merino sheepskin which can give you comfortable, warm-holding and sort-fitting experience unmatched by other varieties of footwear, although it's rugged adequate for outside dress in. We all know that pure and superior high quality Merino sheepskin of UGG women boots designed a incredibly comfortable room to give your toes no cost actions and respiration just like dancing on the delicate clouds.

What is more, every single fashionable UGG sale can expose your special person character. For winter season, the model will present sweet-colored wedges, bailey button, sneakers and slip-on trainers. Knitwear and outerwear remaining built with the similar relaxed materials in brain as the boots are also element of the expansion. Some affordable UGG boots are adorned with feather, crystal, brass buckle or other unique aspects, so they have been the aim of trend business.

In addition, the fleece lining of UGG boots has the fantastic property of delivering year-round warm. It is possible that the normal thermal attributes of sheepskin will warm you in the wintertime but in the summer months your ft will not be soaked. In that chilly temperature, the plush fleece of low-priced UGG boots can simply trap the heat of your body as a result of featuring an insulating layer, considerably like goose down jackets. But in the scorching summer season, the normal fibers of the fleece in fact awesome your ft by wicking absent perspiration. It is claimed, you can vaguely see a community girl with a black veil donning pair of UGG women sneakers in Dubai which is situated in desert place. It was so magic that she nonetheless sticked to have on such a pair of boots under this circumstance.

Aside from, UGG sale for women of all ages supplies a practical and exquisite remedy for function-acceptable footwear showing persistent pursuit of tasteful existence because a pair of large heel boots quickly expresses class and peak in work or in day-to-day existence. We generally can see famous actresses this kind of as Pamela Anderson, Kate Hudson, Eva Longoria sporting UGG boots.

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