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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?
Twebster1229
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.
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∙ 9y ago
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Percentage between 415 and 515 standard deviation 100 and mean is 515?
34.1% with the normal distribution.
Relation between mean and standard deviation?
Standard deviation is the variance from the mean of the data.
What is the difference between standard deviation and mean?
The mean is the average value and the standard deviation is the variation from the mean value.
Difference between beta and standard deviation?
* * *
Distinguish between mean deviation and standard deviation?
The mean deviation for any distribution is always 0 and so conveys no information whatsoever. The standard deviation is the square root of the variance. The variance of a set of values is the sum of the probability of each value multiplied by the square of its difference from the mean for the set. A simpler way to calculate the variance is Expected value of squares - Square of Expected value.
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.
Percentage between 415 and 515 standard deviation 100 and mean is 515?
34.1% with the normal distribution.
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.
What is the difference between standard deviation and mean?
The mean is the average value and the standard deviation is the variation from the mean value.
Difference between beta and standard deviation?
* * *
What percentage of the area falls below the mean?
The area between the mean and 1 standard deviation above or below the mean is about 0.3413 or 34.13%
What is the relationship between standard deviation and precision?
The more precise a result, the smaller will be the standard deviation of the data the result is based upon.
