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What are percentiles?

Updated: 4/28/2022
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Q: What are percentiles?
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How is the process of determining percentiles different if you were given a sample mean rather than individual raw score?

It is impossible to determine the percentiles if you are given only the sample mean since percentiles are a measure of the spread of the data; the mean gives no information on that.


How many percentiles are there in 3 deciles?

30


What is the best type of graph to represent percentiles?

pie chart graph


What type of data would be analyzed for a pie chart?

Percentiles or parts of a whole.


Does percentiles of a raw score differ from the meanof the raw score distribution?

Yes.


How can you convert standard scores to percentiles?

You need to use a table of standard scores.


If your son scored 88 in the quiz what was his percentile in the class?

Your question can not be answered. A tally of all scores in the class is necessary. These are then ranked (lowest to highest), and the percentiles identified. For more information, I suggest you look at percentiles under wikipedia.


Why should you rank your data?

Ranking of data allows calculation of ranges and percentiles. Quick estimation of correlation coefficient is possible (Spearman's method). Certain graphical displays of data, such as box and whiskers plots use percentiles.


What kinds of traits are used to calculate the percentiles on a weight chart for infants?

The traits used to calculate percentiles for infant weight charts will include length, sex, age, stature, and other physical characteristics deemed important by the chart users.


Why does it make sense to have 120th percentile of a data set?

It doesn't. Percentiles are between 0% and 100%.


What do the percentiles on the psat score report mean?

how students compare with other psat test takers


What measures are not affected by outliers?

Median, mode, quartiles, quintiles and so on, except when you get to very large number of percentiles.