0
How do you calculate the percentage of women that have weights between 140 lb and 220 lb with a mean of 145 lb and a standard deviation of 31 lb?
Suppose the random variable W represents the weight, and assume that W is Normally distributed with the given mean and standard deviation.
Then Prob(140 < W < 220) = Prob[(140 - 145)/31 < Z < (220 - 145)/31]
where Z has a standard Normal distribution.
that is, Prob(-0.1613 < Z < 2.4194) = 1 - [Prob(-0.1613 < Z) + Prob(Z < 2.4194)
= 1 - (0.4359 + 0.0078) = 0.5563
So percentage of women = 100*0.5563 = 56% approx.
What else can I help you with?
What percentage is 1 standard deviation?
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.
What Percent of population between 1 standard deviation below the mean and 2 standard deviations above mean?
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.
Percentage between 415 and 515 standard deviation 100 and mean is 515?
34.1% with the normal distribution.
How do you write a program in data structures to calculate mean cofficient of variation and standard deviation?
To calculate the mean, coefficient of variation, and standard deviation in a program, you first need to collect the data into an appropriate data structure like an array or a list. Then, compute the mean by summing all the data points and dividing by the number of points. The standard deviation can be calculated by finding the square root of the average of the squared differences between each data point and the mean. Finally, the coefficient of variation is obtained by dividing the standard deviation by the mean and expressing it as a percentage.
Relation between mean and standard deviation?
Standard deviation is the variance from the mean of the data.
What percentage is 1 standard deviation?
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.
How can one calculate the standard deviation of a portfolio?
To calculate the standard deviation of a portfolio, you need to first determine the individual standard deviations of each asset in the portfolio, as well as the correlation between the assets. Then, you can use a formula that takes into account the weights of each asset in the portfolio to calculate the overall standard deviation. This helps measure the overall risk of the portfolio.
What Percent of population between 1 standard deviation below the mean and 2 standard deviations above mean?
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.
Does standard deviation have to be between 0 and 1?
Standard deviation doesn't have to be between 0 and 1.
Percentage between 415 and 515 standard deviation 100 and mean is 515?
34.1% with the normal distribution.
How do you write a program in data structures to calculate mean cofficient of variation and standard deviation?
To calculate the mean, coefficient of variation, and standard deviation in a program, you first need to collect the data into an appropriate data structure like an array or a list. Then, compute the mean by summing all the data points and dividing by the number of points. The standard deviation can be calculated by finding the square root of the average of the squared differences between each data point and the mean. Finally, the coefficient of variation is obtained by dividing the standard deviation by the mean and expressing it as a percentage.
What is the relationship between standard deviation and variance?
Standard deviation is the square root of the variance.
Relation between mean and standard deviation?
Standard deviation is the variance from the mean of the data.
How To Calculate Standard Deviation?
You can calculate standard deviation by addin the numbers of data that are together and dividing that number by the amount pieces of data.THAT IS TOTALLY INCORRECT.What was answered above was the calculation for getting an (mean) average.If you take five numbers for example 1, 2, 3, 4, 5 then the (mean) average is 3.But the standard deviation between them is 1.58814 and the variance is 2.5Also the population std. deviation will be 1.41421 and the population variance will be 2.see standard-deviation.appspot.com/
What is the difference between standard error of mean and standard deviation of means?
Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.
How do you apply standard deviation to normal curve?
The distance between the middle and the inflection point is the standard deviation.
What is the relationship between standard deviation and variance for the same sample data?
The standard deviation is the square root of the variance.
