approximately 32nd percentile
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.
It depends on the underlying distribution. If Gaussian (standrad normal) then the percentile is 77.
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.)
The lower case sigma character (σ) represents standard deviation.
You would be in the 99th percentile (98.61, to be more precise).
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.
It depends on the underlying distribution. If Gaussian (standrad normal) then the percentile is 77.
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.)
The lower case sigma character (σ) represents standard deviation.
The standard deviation of height in the US population is approximately 3 inches.
You would be in the 99th percentile (98.61, to be more precise).
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.
Assuming a normal distribution of incomes: 2672z = ( 2672 - 3036 ) / 950 = -0.383157895Pr{z
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. This means that around 34% of the data lies between the mean and one standard deviation above it, while another 34% lies between the mean and one standard deviation below it.
When you subtract the standard deviation from the mean, you get a value that represents one standard deviation below the average of a dataset. This can be useful for identifying lower thresholds in data analysis, such as determining the cutoff point for values that are considered below average. In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, so this value can help in understanding the spread of the data.
The standard deviation is the standard deviation! Its calculation requires no assumption.
The standard deviation of the population. the standard deviation of the population.