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If average height for women is normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches then approximately 95 percent of all women should be between what and what inches?
A normal distribution with a mean of 65 and a standard deviation of 2.5 would have 95% of the population being between 60 and 70, i.e. +/- two standard deviations.
How many standard deviations are 95 percent of measurements away from the mean?
95 percent of measurements are less than 2 standard deviations away from the mean, assuming a normal distribution.
How do you solve this problem. You drive to work. Drive time mean 30 min standard deviation 4 min. Workday begins at 9am. What time should you leave so that probability on time is 95 percent?
if standard deviation is 4 minutes 95% probability is about 2 standard deviations (actually 1.96) so you would need to allow 30 + 8 = 38 minutes
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 if a certain statistician has an IQ of 140 what percent of the population has an IQ less than he does?
About 98% of the population.
What percent lies more than 3 standard deviations above the mean?
15/1000
What percent of a normal population is within 2 standard deviations of the mean?
In a normal distribution, approximately 95% of the population falls within 2 standard deviations of the mean. This is known as the 95% rule or the empirical rule. The empirical rule states that within one standard deviation of the mean, about 68% of the population falls, and within two standard deviations, about 95% of the population falls.
If average height for women is normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches then approximately 95 percent of all women should be between what and what inches?
A normal distribution with a mean of 65 and a standard deviation of 2.5 would have 95% of the population being between 60 and 70, i.e. +/- two standard deviations.
How many standard deviations above and below the mean contains 99 percent of the population?
2.576 sd
The mean plus or minus the standard deviation for a normal distribution provides a probability range of what percent?
in a normal distribution, the mean plus or minus one standard deviation covers 68.2% of the data. If you use two standard deviations, then you will cover approx. 95.5%, and three will earn you 99.7% coverage
In a standard normal distribution 95 percent of the data is within plus standard deviations of the mean?
95% is within 2 standard deviations of the mean.
How many standard deviations are 95 percent of measurements away from the mean?
95 percent of measurements are less than 2 standard deviations away from the mean, assuming a normal distribution.
How do you do percent variation?
Percent variation is the standard deviation divided by the average
How do you solve this problem. You drive to work. Drive time mean 30 min standard deviation 4 min. Workday begins at 9am. What time should you leave so that probability on time is 95 percent?
if standard deviation is 4 minutes 95% probability is about 2 standard deviations (actually 1.96) so you would need to allow 30 + 8 = 38 minutes
What percent of data falls between 1 Standard deviation below and 2 stand deviations above the mean?
The answer will depend on what the distribution is. Non-statisticians often assum that the variable that they are interested in follows the Standard Normal distribution. This assumption must be justified. If that is the case then the answer is 81.9%
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 if a certain statistician has an IQ of 140 what percent of the population has an IQ less than he does?
About 98% of the population.
When the sample size and sample standard deviation remain the same a 99 percent confidence interval for a population mean will be narrower than the 95 percent confidence interval for the mean?
Never!
If IQ scores are normally distributed with a mean of 100 and a standard deviation of 17 and if the population of the world is 6575000000 how many geniuses are there in the world today?
I'm assuming "genius" means an unusual value (more than two standard deviations) in the right tail. This is (100 - 95.45)/2 = 2.275 percent, approximately. So: 6,575,000,000 * 0.02275 = 149,581,250 geniuses ... not that special, huh?
