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Q: What proportion are between 20 and 40 days old if there is Normal distribution with a mean of 28days and standard deviation of 8 days?
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What percentage of scores fall below 7 if the nmean is 8 and standard deviation 2?

Assuming a normal distribution, the proportion falling between the mean (of 8) and 7 with standard deviation 2 is: z = (7 - 8) / 2 = -0.5 → 0.1915 (from normal distribution tables) → less than 7 is 0.5 - 0.1915 = 0.3085 = 0.3085 x 100 % = 30.85 % (Note: the 0.5 in the second sum is because half (0.5) of a normal distribution is less than the mean, not because 7 is half a standard deviation away from the mean, and the tables give the proportion of the normal distribution between the mean and the number of standard deviations from the mean.)


What is the difference between a general normal curve and a standard normal curve?

A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.


If normal distribution is between 110 and 190 how can I find the probability that it will be between 135 and 165?

You need to know the standard deviation or standard error to answer the question.


Percentage between 415 and 515 standard deviation 100 and mean is 515?

34.1% with the normal distribution.


Difference between standard deviation and mean devition?

The mean deviation (also called the mean absolute deviation) is the mean of the absolute deviations of a set of data about the data's mean. The standard deviation sigma of a probability distribution is defined as the square root of the variance sigma^2,

Related questions

What percentage of scores fall below 7 if the nmean is 8 and standard deviation 2?

Assuming a normal distribution, the proportion falling between the mean (of 8) and 7 with standard deviation 2 is: z = (7 - 8) / 2 = -0.5 → 0.1915 (from normal distribution tables) → less than 7 is 0.5 - 0.1915 = 0.3085 = 0.3085 x 100 % = 30.85 % (Note: the 0.5 in the second sum is because half (0.5) of a normal distribution is less than the mean, not because 7 is half a standard deviation away from the mean, and the tables give the proportion of the normal distribution between the mean and the number of standard deviations from the mean.)


What is the difference between a general normal curve and a standard normal curve?

A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.


If normal distribution is between 110 and 190 how can I find the probability that it will be between 135 and 165?

You need to know the standard deviation or standard error to answer the question.


Percentage between 415 and 515 standard deviation 100 and mean is 515?

34.1% with the normal distribution.


Difference between standard deviation and mean devition?

The mean deviation (also called the mean absolute deviation) is the mean of the absolute deviations of a set of data about the data's mean. The standard deviation sigma of a probability distribution is defined as the square root of the variance sigma^2,


A company pays it employees an average wage of 10.75 that are approximately normally distributed. Standard deviation of 0.80. A) Find the proportion of the workers getting wages between 10.25 and?

It the upper bound of the range is U, thenZL = (10.25 - 10.75)/0.8 = -0.625 and ZU = (U - 10.75)/0.8 Then the relevant proportion can be determined as the integral of the standard normal distribution between ZL and ZU.


What is the difference between t-distribution and standard normal distribution?

the t distributions take into account the variability of the sample standard deviations. I think that it is now common to use the t distribution when the population standard deviation is unknown, regardless of the sample size.


Does standard deviation have to be between 0 and 1?

Standard deviation doesn't have to be between 0 and 1.


What is the relationship between standard deviation and variance?

Standard deviation is the square root of the variance.


What area within one standard deviation between and mu and minus and sigma and and mu plus and sigma?

The answer will depend on the distribution of the variable.


Is standard deviation same as standard error?

From what ive gathered standard error is how relative to the population some data is, such as how relative an answer is to men or to women. The lower the standard error the more meaningful to the population the data is. Standard deviation is how different sets of data vary between each other, sort of like the mean. * * * * * Not true! Standard deviation is a property of the whole population or distribution. Standard error applies to a sample taken from the population and is an estimate for the standard deviation.


Relation between mean and standard deviation?

Standard deviation is the variance from the mean of the data.