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What is percentile deviation?

Updated: 11/4/2022
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A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.

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Q: What is percentile deviation?
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A score of -1 standard deviation represents what percentile rank approximately?

approximately 32nd percentile


What is numerical measures of dispersion?

There are many:Range,Inter-quartile range,Percentile rangesMean absolute deviation from the mean or medianVarianceStandard deviationStandardised deviation


A score of 0.60 standard deviation represents what score of percentile?

It depends on the underlying distribution. If Gaussian (standrad normal) then the percentile is 77.


What percentile rank would you be in if you scored a 720 on the GRE when the mean equals 500 and the standard deviation equals 100?

You would be in the 99th percentile (98.61, to be more precise).


What percentile does a score of 351.5 on MAT equate to?

The Miller Analogies Test scores have a mean of 400 and a standard deviation of 25, and are approximately normally distributed.z = ( 351.5 - 400 ) / 25 = -1.94That's about the 2.6 percentile.(Used wolframalpha.com with input Pr [x < -1.94] with x normally distributed with mean 0 and standard deviation 1.)


What statistical measure tells you how to spread out the data are?

There are many:Range.Inter [ ] Range : where the middle part may be quartile, quintile, decile or percentile. Other options are possible but less common.Mean absolute deviation.Mean squared deviation (variance).Standard error.Standard deviation.


What is a score of 468 converted to percentile on the millers analogy test?

MAT scores are normally distributed with a mean of 400 and a standard deviation of 25. z = (468-400)/25 = 2.72 Pr { N &lt;= 2.72 } ~= 0.9967 IOW, percentile is about 99.67.


What does interquartile range mean?

The interquartile range is the upper quartile (75th percentile) minus (-) the lower percentile (75th percentile). The interquartile range uses 50% of the data. It is a measure of the "central tendency" just like the standard deviation. A small interquartile range means that most of the values lie close to each other.


The national average SAT score is 1028 with a standard deviation of 92 Assuming a normal distribution what score corresponds to the 90th percentile?

124


How much is 84 percentile equals mean plus 1 standard deviation or mean plus 1.4 standard deviation. Can you give me reference also please?

The cumulative probability up to the mean plus 1 standard deviation for a Normal distribution - not any distribution - is 84%. The reference is any table (or on-line version) of z-scores for the standard normal distribution.


The annual precipitation for one city is normally distributed with mean of 38.9 inches and a standard deviation of 3.3 inches Find the 20th percentile?

45.665 inches Type your answer here... what is the answer??


How do you find percentiles when given standard deviation and mean?

Each standard deviation represents a certain percentile. So if we use two decimal places, &minus;3 is the 0.13th percentile, &minus;2 the 2.28th percentile, &minus;1 the 15.87th percentile, 0 the 50th percentile , +1 the 84.13th percentile, +2 the 97.72th percentile, and +3 the 99.87th percentile.The mean, median and mode are all the same it the distribution is normal.BUT WHY DOES THIS WORK? HOW DO YOU DO IT?The main idea to make all this work and understandable is that the area under the normal curve is one. So if you have a SD and a mean, you can find the z score.Then, using a calculator, or a table, or even sometimes just some rules you may have learned like the empirical rule, you can find the area to the left or right of any given z score. This area is actually a percentile!So for example, if convert a data point to a z - score using the mean and standard deviation ( The formula is z=(x-mean)/standard deviation, by the way), and I look up the probability of that z-score, and say it is .25. Then it is the 25th percentile.The table below gives you all the percentiles and their corresponding z scores.z-score percentile for normal distributionPercentilez-ScorePercentilez-ScorePercentilez-Score1-2.32634-0.412670.442-2.05435-0.385680.4683-1.88136-0.358690.4964-1.75137-0.332700.5245-1.64538-0.305710.5536-1.55539-0.279720.5837-1.47640-0.253730.6138-1.40541-0.228740.6439-1.34142-0.202750.67410-1.28243-0.176760.70611-1.22744-0.151770.73912-1.17545-0.126780.77213-1.12646-0.1790.80614-1.0847-0.075800.84215-1.03648-0.05810.87816-0.99449-0.025820.91517-0.954500830.95418-0.915510.025840.99419-0.878520.05851.03620-0.842530.075861.0821-0.806540.1871.12622-0.772550.126881.17523-0.739560.151891.22724-0.706570.176901.28225-0.674580.202911.34126-0.643590.228921.40527-0.613600.253931.47628-0.583610.279941.55529-0.553620.305951.64530-0.524630.332961.75131-0.496640.358971.88132-0.468650.385982.05433-0.44660.412992.326