The area between the mean and 1 standard deviation above or below the mean is about 0.3413 or 34.13%
If you're talking about geometry, then the "mean" = "average". In that case 50% (half) of surface area is above the mean and 50% (half) is below.
4.55% falls outside the mean at 2 standard deviation
34.1% of the data values fall between (mean-1sd) and the mean.
The formula for calculating the mean percentage score is to first add up all individual scores, then divide the total by the number of scores. This will give you the mean score. To convert the mean score to a percentage, you would then divide the mean score by the total possible score and multiply by 100. This will give you the mean percentage score.
eg 5 10 15, the mean would be 10 and if we want the mean percentage its the percentage of the total so 10/20x100/1, which is 50%
If you're talking about geometry, then the "mean" = "average". In that case 50% (half) of surface area is above the mean and 50% (half) is below.
In a normal distribution half (50%) of the distribution falls below (to the left of) the mean.
because it falls within my area of expertis
4.55% falls outside the mean at 2 standard deviation
In a normal distribution, approximately 68% of the population falls within one standard deviation of the mean, and about 95% falls within two standard deviations. Therefore, to find the percentage of the population between one standard deviation below the mean and two standard deviations above the mean, you would calculate 95% (within two standard deviations) minus 34% (the portion below one standard deviation), resulting in approximately 61% of the population.
In a normal distribution, approximately 68% of scores fall within one standard deviation of the mean (between -1 and +1 standard deviations). About 95% of scores fall within two standard deviations (between -2 and +2 standard deviations). Therefore, the percentage of scores that falls specifically between the mean and -2 to 2 standard deviations is about 95% minus the 50% that is below the mean, resulting in approximately 45%.
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.
If you mean the town of Bedford Falls in the film It's a Wonderful Life, although it is fictional it is believed to be modeled on Seneca Falls in New York State. See the link below as well as Wikipedia on the movie.
Approximately 99.7% of the data falls within 3 standard deviations of the mean in a normal distribution. This is known as the empirical rule or the 68-95-99.7 rule, which describes how data is distributed in a bell-shaped curve. Specifically, about 68% of the data falls within 1 standard deviation, and about 95% falls within 2 standard deviations of the mean.
In a normal distribution, approximately 57.5% of the data falls within 0.75 standard deviations of the mean. This is derived from the cumulative distribution function (CDF) of the normal distribution, which indicates that about 27.5% of the data lies between the mean and 0.75 standard deviations above it, and an equal amount lies between the mean and 0.75 standard deviations below it. Therefore, when combined, it results in around 57.5% of data being within that range.
34.1% of the data values fall between (mean-1sd) and the mean.
There must be a formula, but in the mean time there is a handy site that does it for you. [See related link below for the converter]