just multiply the 9.00 percentile to 9.5 so, 9.00*9.5 =85.5 % simple
You cannot. The 75th percentile is the value of a variable such that 75% of the observations are below that value and 25% are higher. The 75th percentile in the heights of adult women will be a measure of height whereas the 75th percentile in the income distribution in a country will be the level of income [in some currency unit] such that 75% of incomes in the country are lower. These examples illustrate that the 75th percentile can be a measurement in any unit and converting to a percentage makes no sense.
You need to look up z-score tables.
It is not possible to convert a raw score into a percentile without knowing the distribution of scores and key parameters of the distribution. Since none of this information is provided, it is not possible to give a sensible answer.
The 5th percentile of a standard normal distribution is -1.645 (from the normal probability table). z = (x - μ) / σ -1.645 = (x-98.2) / .62 (0.62)(-1.645) = x-98.2 -1.0199 = x-98.2 x = 98.2-1.0199 = 97.1801 The 5th percentile is 97.18 The 95th percentile of a standard normal distribution is 1.645 (from the normal probability table). z = (x - μ) / σ 1.645 = (x-98.2) / .62 (0.62)(1.645) = x-98.2 1.0199 = x-98.2 x = 98.2+1.0199 = 99.2199 The 95th percentile is 99.22
You can't convert that directly. To convert percentages - or any kind of numbers, for that matter - to percentile, you need to use the definition of percentile. For example, if you have a grade of 90%, you check how many other grades have less than 90%, and divide that by the total number of grades. Note that for example with a grade of 90%, your percentile can be anywhere between 0 and 100 - depending what grades OTHERS had.
just multiply the 9.00 percentile to 9.5 so, 9.00*9.5 =85.5 % simple
probability density distribution
Just take the probability, which is a decimal number between 0 and 1, and convert it into a fraction. For instance, a probability of 0.75 corresponds to odds of 3 in 4.
A percentile is a measure of the relative position of the outcome of an experiment. 11.27 percentile means that 11.27% of the outcomes were lower and 88.73 were higher. However, it does not provide any information on the level of that outcome.
You cannot. The 75th percentile is the value of a variable such that 75% of the observations are below that value and 25% are higher. The 75th percentile in the heights of adult women will be a measure of height whereas the 75th percentile in the income distribution in a country will be the level of income [in some currency unit] such that 75% of incomes in the country are lower. These examples illustrate that the 75th percentile can be a measurement in any unit and converting to a percentage makes no sense.
only concerned board can provide the data
You need to look up z-score tables.
You would need to know how many questions were on the original test and what number of questions correct would be in the 8.6 percentile. Most tests do not give this data. If you can find it out, then number right / total number on test x 100 gives the percentage. 50 percentile might mean a 70% if it was an average test, or for a hard test 10 percentile might mean a 30%. Without the above information you cannot directly convert one to the other.
You would need to know how many questions were on the original test and what number of questions correct would be in the 8.6 percentile. Most tests do not give this data. If you can find it out, then number right / total number on test x 100 gives the percentage. 50 percentile might mean a 70% if it was an average test, or for a hard test 10 percentile might mean a 30%. Without the above information you cannot directly convert one to the other.
It is not possible to convert a raw score into a percentile without knowing the distribution of scores and key parameters of the distribution. Since none of this information is provided, it is not possible to give a sensible answer.
The 5th percentile of a standard normal distribution is -1.645 (from the normal probability table). z = (x - μ) / σ -1.645 = (x-98.2) / .62 (0.62)(-1.645) = x-98.2 -1.0199 = x-98.2 x = 98.2-1.0199 = 97.1801 The 5th percentile is 97.18 The 95th percentile of a standard normal distribution is 1.645 (from the normal probability table). z = (x - μ) / σ 1.645 = (x-98.2) / .62 (0.62)(1.645) = x-98.2 1.0199 = x-98.2 x = 98.2+1.0199 = 99.2199 The 95th percentile is 99.22