From the given information it is not possible. You need to find the score, S, such that the percentage of people scoring S or below is 40%.
20th percentile = 16th smallest value 60th percentile = 48th smallest value.
You can't do this without knowing the distribution of scores.
Barnard's 2014 25th-75th percentile ACT scores are 29-34 on the English section, 25-31 on the Math section, and 28-31 Composite.
SCAD's 2014 25th-75th percentile ACT scores are 21-28 on the English section, 19-25 on the Math section, and 21-27 Composite.
Carnegie Mellon's 2014 25th-75th percentile ACT scores are 29-34 on the English section, 29-34 on the Math section, and 29-33 Composite.
To interpret percentile ranking you must know the percentage of the group. Arrange the scores from the highest to the lowest. Compute the percentage of people with scores below 23%, and compute the percentage of people with scores at 23%. Add the percentage of people with scores below the score to one half the percentage of people with scores at the score to obtain the percentile rank. e.g If there were 20 children with varying scores, and 23% was the only score obtained by a student; then one score is (1/20) of the class, or 5%. 2 children scored lower than 23%; so (2/20) of the scores is below 23. The child with 23% will receive a percentile rank of 2+(half of 5)=4.5%. Brenda
Into what kind of percentage do you want to convert it? A percentile already is some kind of percentage. It says that so-and-so many percent score above (or below) your score (or whatever score you are considering). The actual score (percentage or otherwise) can't be deduced from the percentile, unless you look it up in a table of scores. For example, if you are in the top 20 percentile in an exam, and there are 1000 students, get a list of the scores - sorted from high to low - and count the first 20% of scores - in this example, the scores for the best 200 students. The student at position #200 will be the answer.
20th percentile = 16th smallest value 60th percentile = 48th smallest value.
You can't do this without knowing the distribution of scores.
For a complete definition of Percentile see the related link. A percentile is the value of a variable below which a certain percent of observations fallThe 90th percentile is typically the point at which 10 percent of the highest scores fall.If you assume that scores are out of 40, and that they are evenly distributed (an unlikely event in real life), then the 90th percentile is all scores above 36.
75th percentile
Actual IQ scores relate to someone in the 99th percentile of the general US population. One's raw score is compared to the percentage of the general US population who achieved a score equal to or below one's raw score.
add all the scores up and divide that number by how many scores there were
The percentile rank of a score is the percentage of scores in its frequency distribution that are lower than it. For example, a test score that is greater than 75% of the scores of people taking the test is said to be at the 75th percentile.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 below the score of interest.[1]Percentile ranks (PRs or "percentiles") are often normally distributed ("bell-shaped") while normal curve equivalents (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 − 25 = 25 is not the same distance as 60 − 35 = 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 iswhere cfℓ is the cumulative frequency for all scores lower than the score of interest, ƒi is the frequency of the score of interest, and N is the number of examinees in the sample. If the distribution is normallydistributed, the percentile rank can be inferred from the standard score.
With the exception of the fact that the scores of the pro and the scores of the amateur are combined, the scoring system is the same.
Baylor's 2014 25th-75th percentile ACT scores are 24-30 on the English section, 24-29 on the Math section, and 24-29 Composite.
Berkeley's 2014 25th-75th percentile ACT scores are 27-34 on the English section, 27-34 on the Math section, and 27-33 Composite.